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Repository URL to install this package:
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Version:
1.1.8 ▾
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cvxopt
/
blas.so
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8 G6 H7 Í7 6 t9 Á8 "9 ý6 56 Ç7 =8 @6 Ä8 6 B6 ú6 G6 O6 ÿ6 Solution of a triangular system of equations with multiple
righthand sides.
trsm(A, B, side='L', uplo='L', transA='N', diag='N', alpha=1.0,
m=None, n=None, ldA=max(1,A.size[0]), ldB=max(1,B.size[0]),
offsetA=0, offsetB=0)
PURPOSE
Computes
B := alpha*A^{-1}*B if transA is 'N' and side = 'L'.
B := alpha*B*A^{-1} if transA is 'N' and side = 'R'.
B := alpha*A^{-T}*B if transA is 'T' and side = 'L'.
B := alpha*B*A^{-T} if transA is 'T' and side = 'R'.
B := alpha*A^{-H}*B if transA is 'C' and side = 'L'.
B := alpha*B*A^{-H} if transA is 'C' and side = 'R'.
B is m by n and A is triangular. The code does not verify
whether A is nonsingular.
ARGUMENTS
A 'd' or 'z' matrix
B 'd' or 'z' matrix. Must have the same type as A.
side 'L' or 'R'
uplo 'L' or 'U'
transA 'N' or 'T'
diag 'N' or 'U'
alpha number (int, float or complex). Complex alpha is only
allowed if A is complex.
m integer. If negative, the default value is used.
The default value is
m = (side == 'L') ? A.size[0] : B.size[0].
If the default value is used and side is 'L', m must
be equal to A.size[1].
n integer. If negative, the default value is used.
The default value is
n = (side == 'L') ? B.size[1] : A.size[0].
If the default value is used and side is 'R', n must
be equal to A.size[1].
ldA nonnegative integer.
ldA >= max(1, (side == 'L') ? m : n).
If zero, the default value is used.
ldB nonnegative integer. ldB >= max(1,m).
If zero, the default value is used.
offsetA nonnegative integer
offsetB nonnegative integer Matrix-matrix product where one matrix is triangular.
trmm(A, B, side='L', uplo='L', transA='N', diag='N', alpha=1.0,
m=None, n=None, ldA=max(1,A.size[0]), ldB=max(1,B.size[0]),
offsetA=0, offsetB=0)
PURPOSE
Computes
B := alpha*A*B if transA is 'N' and side = 'L'.
B := alpha*B*A if transA is 'N' and side = 'R'.
B := alpha*A^T*B if transA is 'T' and side = 'L'.
B := alpha*B*A^T if transA is 'T' and side = 'R'.
B := alpha*A^H*B if transA is 'C' and side = 'L'.
B := alpha*B*A^H if transA is 'C' and side = 'R'.
B is m by n and A is triangular.
ARGUMENTS
A 'd' or 'z' matrix
B 'd' or 'z' matrix. Must have the same type as A.
side 'L' or 'R'
uplo 'L' or 'U'
transA 'N' or 'T'
diag 'N' or 'U'
alpha number (int, float or complex). Complex alpha is only
allowed if A is complex.
m integer. If negative, the default value is used.
The default value is
m = (side == 'L') ? A.size[0] : B.size[0].
If the default value is used and side is 'L', m must
be equal to A.size[1].
n integer. If negative, the default value is used.
The default value is
n = (side == 'L') ? B.size[1] : A.size[0].
If the default value is used and side is 'R', n must
be equal to A.size[1].
ldA nonnegative integer.
ldA >= max(1, (side == 'L') ? m : n).
If zero, the default value is used.
ldB nonnegative integer. ldB >= max(1,m).
If zero, the default value is used.
offsetA nonnegative integer
offsetB nonnegative integer Rank-2k update of Hermitian matrix.
her2k(A, B, C, alpha=1.0, beta=0.0, uplo='L', trans='N', n=None,
k=None, ldA=max(1,A.size[0]), ldB=max(1,B.size[0]),
ldC=max(1,C.size[0])), offsetA=0, offsetB=0, offsetC=0)
PURPOSE
Computes
C := alpha*A*B^H + conj(alpha)*B*A^H + beta*C (trans=='N')
C := alpha*A^H*B + conj(alpha)*B^H*A + beta*C (trans=='C')
C is real symmetric or complex Hermitian of order n. The inner
dimension of the matrix product is k. If k=0 this is interpreted
as C := beta*C.
ARGUMENTS
A 'd' or 'z' matrix
B 'd' or 'z' matrix. Must have the same type as A.
C 'd' or 'z' matrix. Must have the same type as A.
uplo 'L' or 'U'
trans 'N' or 'C'
alpha number (int, float or complex). Complex alpha is only
allowed if A is complex.
beta real number (int or float)
n integer. If negative, the default value is used.
The default value is
n = (trans == 'N') ? A.size[0] : A.size[1].
If the default value is used, it should be equal to
(trans == 'N') ? B.size[0] : B.size[1].
k integer. If negative, the default value is used.
The default value is
k = (trans == 'N') ? A.size[1] : A.size[0].
If the default value is used, it should be equal to
(trans == 'N') ? B.size[1] : B.size[0].
ldA nonnegative integer.
ldA >= max(1, (trans=='N') ? n : k).
If zero, the default value is used.
ldB nonnegative integer.
ldB >= max(1, (trans=='N') ? n : k).
If zero, the default value is used.
ldC nonnegative integer. ldC >= max(1,n).
If zero, the default value is used.
offsetA nonnegative integer
offsetB nonnegative integer
offsetC nonnegative integer Rank-2k update of symmetric matrix.
syr2k(A, B, C, uplo='L', trans='N', alpha=1.0, beta=0.0, n=None,
k=None, ldA=max(1,A.size[0]), ldB=max(1,B.size[0]),
ldC=max(1,C.size[0])), offsetA=0, offsetB=0, offsetC=0)
PURPOSE
If trans is 'N', computes C := alpha*(A*B^T + B*A^T) + beta*C.
If trans is 'T', computes C := alpha*(A^T*B + B^T*A) + beta*C.
C is symmetric (real or complex) of order n.
The inner dimension of the matrix product is k. If k=0 this is
interpreted as C := beta*C.
ARGUMENTS
A 'd' or 'z' matrix
B 'd' or 'z' matrix. Must have the same type as A.
C 'd' or 'z' matrix. Must have the same type as A.
uplo 'L' or 'U'
trans 'N', 'T' or 'C' ('C' is only allowed when in the real
case and means the same as 'T')
alpha number (int, float or complex). Complex alpha is only
allowed if A is complex.
beta number (int, float or complex). Complex beta is only
allowed if A is complex.
n integer. If negative, the default value is used.
The default value is
n = (trans == 'N') ? A.size[0] : A.size[1].
If the default value is used, it should be equal to
(trans == 'N') ? B.size[0] : B.size[1].
k integer. If negative, the default value is used.
The default value is
k = (trans == 'N') ? A.size[1] : A.size[0].
If the default value is used, it should be equal to
(trans == 'N') ? B.size[1] : B.size[0].
ldA nonnegative integer.
ldA >= max(1, (trans=='N') ? n : k).
If zero, the default value is used.
ldB nonnegative integer.
ldB >= max(1, (trans=='N') ? n : k).
If zero, the default value is used.
ldC nonnegative integer. ldC >= max(1,n).
If zero, the default value is used.
offsetA nonnegative integer
offsetB nonnegative integer
offsetC nonnegative integer Rank-k update of Hermitian matrix.
herk(A, C, uplo='L', trans='N', alpha=1.0, beta=0.0, n=None,
k=None, ldA=max(1,A.size[0]), ldC=max(1,C.size[0]),
offsetA=0, offsetB=0)
PURPOSE
If trans is 'N', computes C := alpha*A*A^H + beta*C.
If trans is 'C', computes C := alpha*A^H*A + beta*C.
C is real symmetric or Hermitian of order n. The inner
dimension of the matrix product is k.
If k=0 this is interpreted as C := beta*C.
ARGUMENTS
A 'd' or 'z' matrix
C 'd' or 'z' matrix. Must have the same type as A.
uplo 'L' or 'U'
trans 'N' or 'C'
alpha real number (int or float)
beta number (int, float or complex)
n integer. If negative, the default value is used.
The default value is
n = (trans == N) ? A.size[0] : A.size[1].
k integer. If negative, the default value is used.
The default value is
k = (trans == 'N') ? A.size[1] : A.size[0].
ldA nonnegative integer.
ldA >= max(1, (trans == 'N') ? n : k). If zero,
the default value is used.
ldC nonnegative integer. ldC >= max(1,n).
If zero, the default value is used.
offsetA nonnegative integer
offsetC nonnegative integer Rank-k update of symmetric matrix.
syrk(A, C, uplo='L', trans='N', alpha=1.0, beta=0.0, n=None,
k=None, ldA=max(1,A.size[0]), ldC=max(1,C.size[0]),
offsetA=0, offsetB=0)
PURPOSE
If trans is 'N', computes C := alpha*A*A^T + beta*C.
If trans is 'T', computes C := alpha*A^T*A + beta*C.
C is symmetric (real or complex) of order n.
The inner dimension of the matrix product is k. If k=0 this is
interpreted as C := beta*C.
ARGUMENTS
A 'd' or 'z' matrix
C 'd' or 'z' matrix. Must have the same type as A.
uplo 'L' or 'U'
trans 'N' or 'T'
alpha number (int, float or complex). Complex alpha is only
allowed if A is complex.
beta number (int, float or complex). Complex beta is only
allowed if A is complex.
n integer. If negative, the default value is used.
The default value is
n = (trans == N) ? A.size[0] : A.size[1].
k integer. If negative, the default value is used.
The default value is
k = (trans == 'N') ? A.size[1] : A.size[0].
ldA nonnegative integer.
ldA >= max(1, (trans == 'N') ? n : k). If zero,
the default value is used.
ldC nonnegative integer. ldC >= max(1,n).
If zero, the default value is used.
offsetA nonnegative integer
offsetC nonnegative integer Matrix-matrix product where one matrix is real symmetric or
complex Hermitian.
hemm(A, B, C, side='L', uplo='L', alpha=1.0, beta=0.0,
m=B.size[0], n=B.size[1], ldA=max(1,A.size[0]),
ldB=max(1,B.size[0]), ldC=max(1,C.size[0]), offsetA=0,
offsetB=0, offsetC=0)
PURPOSE
If side is 'L', computes C := alpha*A*B + beta*C.
If side is 'R', computes C := alpha*B*A + beta*C.
C is m by n and A is real symmetric or complex Hermitian.
ARGUMENTS
A 'd' or 'z' matrix
B 'd' or 'z' matrix. Must have the same type as A.
C 'd' or 'z' matrix. Must have the same type as A.
side 'L' or 'R'
uplo 'L' or 'U'
alpha number (int, float or complex). Complex alpha is only
allowed if A is complex.
beta number (int, float or complex). Complex beta is only
allowed if A is complex.
m integer. If negative, the default value is used.
If the default value is used and side = 'L', then m
must be equal to A.size[0] and A.size[1].
n integer. If negative, the default value is used.
If the default value is used and side = 'R', then
must be equal to A.size[0] and A.size[1].
ldA nonnegative integer.
ldA >= max(1, (side == 'L') ? m : n). If zero, the
default value is used.
ldB nonnegative integer.
ldB >= max(1, (side == 'L') ? n : m). If zero, the
default value is used.
ldC nonnegative integer. ldC >= max(1,m).
If zero, the default value is used.
offsetA nonnegative integer
offsetB nonnegative integer
offsetC nonnegative integer Matrix-matrix product where one matrix is symmetric.
symm(A, B, C, side='L', uplo='L', alpha=1.0, beta=0.0,
m=B.size[0], n=B.size[1], ldA=max(1,A.size[0]),
ldB=max(1,B.size[0]), ldC=max(1,C.size[0]), offsetA=0,
offsetB=0, offsetC=0)
PURPOSE
If side is 'L', computes C := alpha*A*B + beta*C.
If side is 'R', computes C := alpha*B*A + beta*C.
C is m by n and A is real or complex symmetric. (Use hemm for
Hermitian A).
ARGUMENTS
A 'd' or 'z' matrix
B 'd' or 'z' matrix. Must have the same type as A.
C 'd' or 'z' matrix. Must have the same type as A.
side 'L' or 'R'
uplo 'L' or 'U'
alpha number (int, float or complex). Complex alpha is only
allowed if A is complex.
beta number (int, float or complex). Complex beta is only
allowed if A is complex.
m integer. If negative, the default value is used.
If the default value is used and side = 'L', then m
must be equal to A.size[0] and A.size[1].
n integer. If negative, the default value is used.
If the default value is used and side = 'R', then
must be equal to A.size[0] and A.size[1].
ldA nonnegative integer.
ldA >= max(1, (side == 'L') ? m : n). If zero, the
default value is used.
ldB nonnegative integer.
ldB >= max(1, (side == 'L') ? n : m). If zero, the
default value is used.
ldC nonnegative integer. ldC >= max(1,m).
If zero, the default value is used.
offsetA nonnegative integer
offsetB nonnegative integer
offsetC nonnegative integer General matrix-matrix product.
gemm(A, B, C, transA='N', transB='N', alpha=1.0, beta=0.0,
m=None, n=None, k=None, ldA=max(1,A.size[0]),
ldB=max(1,B.size[0]), ldC=max(1,C.size[0]), offsetA=0,
offsetB=0, offsetC=0)
PURPOSE
Computes
C := alpha*A*B + beta*C if transA = 'N' and transB = 'N'.
C := alpha*A^T*B + beta*C if transA = 'T' and transB = 'N'.
C := alpha*A^H*B + beta*C if transA = 'C' and transB = 'N'.
C := alpha*A*B^T + beta*C if transA = 'N' and transB = 'T'.
C := alpha*A^T*B^T + beta*C if transA = 'T' and transB = 'T'.
C := alpha*A^H*B^T + beta*C if transA = 'C' and transB = 'T'.
C := alpha*A*B^H + beta*C if transA = 'N' and transB = 'C'.
C := alpha*A^T*B^H + beta*C if transA = 'T' and transB = 'C'.
C := alpha*A^H*B^H + beta*C if transA = 'C' and transB = 'C'.
The number of rows of the matrix product is m. The number of
columns is n. The inner dimension is k. If k=0, this reduces
to C := beta*C.
ARGUMENTS
A 'd' or 'z' matrix
B 'd' or 'z' matrix. Must have the same type as A.
C 'd' or 'z' matrix. Must have the same type as A.
transA 'N', 'T' or 'C'
transB 'N', 'T' or 'C'
alpha number (int, float or complex). Complex alpha is only
allowed if A is complex.
beta number (int, float or complex). Complex beta is only
allowed if A is complex.
m integer. If negative, the default value is used.
The default value is
m = (transA == 'N') ? A.size[0] : A.size[1].
n integer. If negative, the default value is used.
The default value is
n = (transB == 'N') ? B.size[1] : B.size[0].
k integer. If negative, the default value is used.
The default value is
(transA == 'N') ? A.size[1] : A.size[0], transA='N'.
If the default value is used it should also be equal to
(transB == 'N') ? B.size[0] : B.size[1].
ldA nonnegative integer. ldA >= max(1,(transA == 'N') ? m : k).
If zero, the default value is used.
ldB nonnegative integer. ldB >= max(1,(transB == 'N') ? k : n).
If zero, the default value is used.
ldC nonnegative integer. ldC >= max(1,m).
If zero, the default value is used.
offsetA nonnegative integer
offsetB nonnegative integer
offsetC nonnegative integer Hermitian rank-2 update.
her2(x, y, A, uplo='L', alpha=1.0, n=A.size[0], incx=1, incy=1,
ldA=max(1,A.size[0]), offsetx=0, offsety=0, offsetA=0)
PURPOSE
Computes A := A + alpha*x*y^H + conj(alpha)*y*x^H with A
real symmetric or complex Hermitian of order n.
ARGUMENTS
x 'd' or 'z' matrix
y 'd' or 'z' matrix. Must have the same type as x.
A 'd' or 'z' matrix. Must have the same type as x.
uplo 'L' or 'U'
alpha number (int, float or complex). Complex alpha is only
allowed if A is complex.
n integer. If negative, the default value is used.
incx nonzero integer
incy nonzero integer
ldA nonnegative integer. ldA >= max(1,n).
If zero the default value is used.
offsetx nonnegative integer
offsety nonnegative integer
offsetA nonnegative integer Symmetric rank-2 update.
syr2(x, y, A, uplo='L', alpha=1.0, n=A.size[0], incx=1, incy=1,
ldA=max(1,A.size[0]), offsetx=0, offsety=0, offsetA=0)
PURPOSE
Computes A := A + alpha*(x*y^T + y*x^T) with A real symmetric.
ARGUMENTS
x 'd' matrix
y 'd' matrix
A 'd' matrix
uplo 'L' or 'U'
alpha real number (int or float)
n integer. If negative, the default value is used.
incx nonzero integer
incy nonzero integer
ldA nonnegative integer. ldA >= max(1,n).
If zero the default value is used.
offsetx nonnegative integer
offsety nonnegative integer
offsetA nonnegative integer Hermitian rank-1 update.
her(x, A, uplo='L', alpha=1.0, n=A.size[0], incx=1,
ldA=max(1,A.size[0]), offsetx=0, offsetA=0)
PURPOSE
Computes A := A + alpha*x*x^H with A real symmetric or complex
Hermitian of order n.
ARGUMENTS
x 'd' or 'z' matrix
A 'd' or 'z' matrix. Must have the same type as x.
uplo 'L' or 'U'
alpha real number (int or float)
n integer. If negative, the default value is used.
incx nonzero integer
ldA nonnegative integer. ldA >= max(1,n).
If zero, the default value is used.
offsetx nonnegative integer
offsetA nonnegative integer Symmetric rank-1 update.
syr(x, A, uplo='L', alpha=1.0, n=A.size[0], incx=1,
ldA=max(1,A.size[0]), offsetx=0, offsetA=0)
PURPOSE
Computes A := A + alpha*x*x^T with A real symmetric of order n.
ARGUMENTS
x 'd' matrix
A 'd' matrix
uplo 'L' or 'U'
alpha real number (int or float)
n integer. If negative, the default value is used.
incx nonzero integer
ldA nonnegative integer. ldA >= max(1,n).
If zero, the default value is used.
offsetx nonnegative integer
offsetA nonnegative integer General rank-1 update.
geru(x, y, A, m=A.size[0], n=A.size[1], alpha=1.0, incx=1,
incy=1, ldA=max(1,A.size[0]), offsetx=0, offsety=0,
offsetA=0)
PURPOSE
Computes A := A + alpha*x*y^T with A m by n, real or complex.
ARGUMENTS
x 'd' or 'z' matrix
y 'd' or 'z' matrix. Must have the same type as x.
A 'd' or 'z' matrix. Must have the same type as x.
alpha number (int, float or complex). Complex alpha is only
allowed if A is complex.
m integer. If negative, the default value is used.
n integer. If negative, the default value is used.
incx nonzero integer
incy nonzero integer
ldA nonnegative integer. ldA >= max(1,m).
If zero, the default value is used.
offsetx nonnegative integer
offsety nonnegative integer
offsetA nonnegative integer General rank-1 update.
ger(x, y, A, alpha=1.0, m=A.size[0], n=A.size[1], incx=1,
incy=1, ldA=max(1,A.size[0]), offsetx=0, offsety=0,
offsetA=0)
PURPOSE
Computes A := A + alpha*x*y^H with A m by n, real or complex.
ARGUMENTS
x 'd' or 'z' matrix
y 'd' or 'z' matrix. Must have the same type as x.
A 'd' or 'z' matrix. Must have the same type as x.
alpha number (int, float or complex). Complex alpha is only
allowed if A is complex.
m integer. If negative, the default value is used.
n integer. If negative, the default value is used.
incx nonzero integer
incy nonzero integer
ldA nonnegative integer. ldA >= max(1,m).
If zero, the default value is used.
offsetx nonnegative integer
offsety nonnegative integer
offsetA nonnegative integer Solution of a triangular and banded set of equations.
tbsv(A, x, uplo='L', trans='N', diag='N', n=A.size[1],
k=max(0,A.size[0]-1), ldA=A.size[0], incx=1, offsetA=0,
offsetx=0)
PURPOSE
If trans is 'N', computes x := A^{-1}*x.
If trans is 'T', computes x := A^{-T}*x.
If trans is 'C', computes x := A^{-H}*x.
A is banded triangular of order n and with bandwidth k.
ARGUMENTS
A 'd' or 'z' matrix
x 'd' or 'z' matrix. Must have the same type as A.
uplo 'L' or 'U'
trans 'N', 'T' or 'C'
diag 'N' or 'U'
n nonnegative integer. If negative, the default value
is used.
k nonnegative integer. If negative, the default value
is used.
ldA nonnegative integer. ldA >= 1+k.
If zero the default value is used.
incx nonzero integer
offsetA nonnegative integer
offsetx nonnegative integer Solution of a triangular set of equations with one righthand side.
trsv(A, x, uplo='L', trans='N', diag='N', n=A.size[0],
ldA=max(1,A.size[0]), incx=1, offsetA=0, offsetx=0)
PURPOSE
If trans is 'N', computes x := A^{-1}*x.
If trans is 'T', computes x := A^{-T}*x.
If trans is 'C', computes x := A^{-H}*x.
A is triangular of order n. The code does not verify whether A
is nonsingular.
ARGUMENTS
A 'd' or 'z' matrix
x 'd' or 'z' matrix. Must have the same type as A.
uplo 'L' or 'U'
trans 'N', 'T' or 'C'
diag 'N' or 'U'
n integer. If negative, the default value is used.
If the default value is used, we require that
A.size[0] = A.size[1].
ldA nonnegative integer. ldA >= max(1,n).
If zero, the default value is used.
incx nonzero integer
offsetA nonnegative integer
offsetx nonnegative integer Matrix-vector product with a triangular band matrix.
tbmv(A, x, uplo='L', trans='N', diag='N', n=A.size[1],
k=max(0,A.size[0]-1), ldA=A.size[0], incx=1, offsetA=0,
offsetx=0)
PURPOSE
If trans is 'N', computes x := A*x.
If trans is 'T', computes x := A^T*x.
If trans is 'C', computes x := A^H*x.
A is banded triangular of order n and with bandwith k.
ARGUMENTS
A 'd' or 'z' matrix
x 'd' or 'z' matrix. Must have the same type as A.
uplo 'L' or 'U'
trans 'N', 'T' or 'C'
diag 'N' or 'U'
n nonnegative integer. If negative, the default value
is used.
k nonnegative integer. If negative, the default value
is used.
ldA nonnegative integer. lda >= 1+k.
If zero the default value is used.
incx nonzero integer
offsetA nonnegative integer
offsetx nonnegative integer Matrix-vector product with a triangular matrix.
trmv(A, x, uplo='L', trans='N', diag='N', n=A.size[0],
ldA=max(1,A.size[0]), incx=1, offsetA=0, offsetx=0)
PURPOSE
If trans is 'N', computes x := A*x.
If trans is 'T', computes x := A^T*x.
If trans is 'C', computes x := A^H*x.
A is triangular of order n.
ARGUMENTS
A 'd' or 'z' matrix
x 'd' or 'z' matrix. Must have the same type as A.
uplo 'L' or 'U'
trans 'N' or 'T'
diag 'N' or 'U'
n integer. If negative, the default value is used.
If the default value is used, we require that
A.size[0] = A.size[1].
ldA nonnegative integer. ldA >= max(1,n).
If zero the default value is used.
incx nonzero integer
offsetA nonnegative integer
offsetx nonnegative integer Matrix-vector product with a real symmetric or complex Hermitian
band matrix.
hbmv(A, x, y, uplo='L', alpha=1.0, beta=0.0, n=A.size[1],
k=None, ldA=A.size[0], incx=1, incy=1, offsetA=0,
offsetx=0, offsety=0)
PURPOSE
Computes y := alpha*A*x + beta*y with A real symmetric or
complex Hermitian and banded of order n and with bandwidth k.
ARGUMENTS
A 'd' or 'z' matrix
x 'd' or 'z' matrix. Must have the same type as A.
y 'd' or 'z' matrix. Must have the same type as A.
uplo 'L' or 'U'
alpha number (int, float or complex). Complex alpha is only
allowed if A is complex.
beta number (int, float or complex). Complex beta is only
allowed if A is complex.
n integer. If negative, the default value is used.
k integer. If negative, the default value is used.
The default value is k = max(0,A.size[0]-1).
ldA nonnegative integer. ldA >= k+1.
If zero, the default vaule is used.
incx nonzero integer
incy nonzero integer
offsetA nonnegative integer.
offsetx nonnegative integer.
offsety nonnegative integer.
Matrix-vector product with a real symmetric band matrix.
sbmv(A, x, y, uplo='L', alpha=1.0, beta=0.0, n=A.size[1],
k=None, ldA=A.size[0], incx=1, incy=1, offsetA=0,
offsetx=0, offsety=0)
PURPOSE
Computes y := alpha*A*x + beta*y with A real symmetric and
banded of order n and with bandwidth k.
ARGUMENTS
A 'd' matrix
x 'd' matrix
y 'd' matrix
uplo 'L' or 'U'
alpha real number (int or float)
beta real number (int or float)
n integer. If negative, the default value is used.
k integer. If negative, the default value is used.
The default value is k = max(0,A.size[0]-1).
ldA nonnegative integer. ldA >= k+1.
If zero, the default vaule is used.
incx nonzero integer
incy nonzero integer
offsetA nonnegative integer
offsetx nonnegative integer
offsety nonnegative integer
Matrix-vector product with a real symmetric or complex Hermitian
matrix.
hemv(A, x, y, uplo='L', alpha=1.0, beta=0.0, n=A.size[0],
ldA=max(1,A.size[0]), incx=1, incy=1, offsetA=0, offsetx=0,
offsety=0)
PURPOSE
Computes y := alpha*A*x + beta*y, with A real symmetric or
complex Hermitian of order n.
ARGUMENTS
A 'd' or 'z' matrix
x 'd' or 'z' matrix. Must have the same type as A.
y 'd' or 'z' matrix. Must have the same type as A.
uplo 'L' or 'U'
n integer. If negative, the default value is used.
If the default value is used, we require that
A.size[0]=A.size[1].
alpha number (int, float or complex). Complex alpha is only
allowed if A is complex.
ldA nonnegative integer. ldA >= max(1,n).
If zero, the default value is used.
incx nonzero integer
beta number (int, float or complex). Complex beta is only
allowed if A is complex.
incy nonzero integer
offsetA nonnegative integer
offsetx nonnegative integer
offsety nonnegative integer Matrix-vector product with a real symmetric matrix.
symv(A, x, y, uplo='L', alpha=1.0, beta=0.0, n=A.size[0],
ldA=max(1,A.size[0]), incx=1, incy=1, offsetA=0, offsetx=0,
offsety=0)
PURPOSE
Computes y := alpha*A*x + beta*y with A real symmetric of order n.
ARGUMENTS
A 'd' matrix
x 'd' matrix
y 'd' matrix
uplo 'L' or 'U'
alpha real number (int or float)
beta real number (int or float)
n integer. If negative, the default value is used.
If the default value is used, we require that
A.size[0]=A.size[1].
ldA nonnegative integer. ldA >= max(1,n).
If zero, the default value is used.
incx nonzero integer
incy nonzero integer
offsetA nonnegative integer
offsetx nonnegative integer
offsety nonnegative integer Matrix-vector product with a general banded matrix.
gbmv(A, m, kl, x, y, trans='N', alpha=1.0, beta=0.0, n=A.size[1],
ku=A.size[0]-kl-1, ldA=max(1,A.size[0]), incx=1, incy=1,
offsetA=0, offsetx=0, offsety=0)
PURPOSE
If trans is 'N', computes y := alpha*A*x + beta*y.
If trans is 'T', computes y := alpha*A^T*x + beta*y.
If trans is 'C', computes y := alpha*A^H*x + beta*y.
The matrix A is m by n with upper bandwidth ku and lower
bandwidth kl.
Returns immediately if n=0 and trans is 'T' or 'C', or if m=0
and trans is 'N'.
Computes y := beta*y if n=0, m>0, and trans is 'N', or if m=0, n>0,
and trans is 'T' or 'C'.
ARGUMENTS
A 'd' or 'z' matrix. Must have the same type as A.
m nonnegative integer
kl nonnegative integer
x 'd' or 'z' matrix. Must have the same type as A.
y 'd' or 'z' matrix. Must have the same type as A.
trans 'N', 'T' or 'C'
alpha number (int, float or complex). Complex alpha is only
allowed if A is complex.
beta number (int, float or complex). Complex beta is only
allowed if A is complex.
n nonnegative integer. If negative, the default value is
used.
ku nonnegative integer. If negative, the default value is
used.
ldA positive integer. ldA >= kl+ku+1. If zero, the default
value is used.
incx nonzero integer
incy nonzero integer
offsetA nonnegative integer
offsetx nonnegative integer
offsety nonnegative integer General matrix-vector product.
gemv(A, x, y, trans='N', alpha=1.0, beta=0.0, m=A.size[0],
n=A.size[1], ldA=max(1,A.size[0]), incx=1, incy=1,
offsetA=0, offsetx=0, offsety=0)
PURPOSE
If trans is 'N', computes y := alpha*A*x + beta*y.
If trans is 'T', computes y := alpha*A^T*x + beta*y.
If trans is 'C', computes y := alpha*A^H*x + beta*y.
The matrix A is m by n.
Returns immediately if n=0 and trans is 'T' or 'C', or if m=0
and trans is 'N'.
Computes y := beta*y if n=0, m>0 and trans is 'N', or if m=0,
n>0 and trans is 'T' or 'C'.
ARGUMENTS
A 'd' or 'z' matrix
x 'd' or 'z' matrix. Must have the same type as A.
y 'd' or 'z' matrix. Must have the same type as A.
trans 'N', 'T' or 'C'
alpha number (int, float or complex). Complex alpha is only
allowed if A is complex.
beta number (int, float or complex). Complex beta is only
allowed if A is complex.
m integer. If negative, the default value is used.
n integer. If negative, the default value is used.
ldA nonnegative integer. ldA >= max(1,m).
If zero, the default value is used.
incx nonzero integer
incy nonzero integer
offsetA nonnegative integer
offsetx nonnegative integer
offsety nonnegative integer Returns the index (in {0,...,n-1}) of the coefficient with
maximum value of |Re x_k| + |Im x_k|.
iamax(x, n=None, inc=1, offset=0)
ARGUMENTS
x 'd' or 'z' matrix
n integer. If n<0, the default value of n is used.
The default value is equal to
(len(x)>=offset+1) ? 1+(len(x)-offset-1)/inc : 0.
inc positive integer
offset nonnegative integer
In the case of ties, the index of the first maximizer is
returned. If n=0, iamax returns 0. Returns ||Re x||_1 + ||Im x||_1.
asum(x, n=None, inc=1, offset=0)
ARGUMENTS
x 'd' or 'z' matrix
n integer. If n<0, the default value of n is used.
The default value is equal to
n = (len(x)>=offset+1) ? 1+(len(x)-offset-1)/inc : 0.
inc positive integer
offset nonnegative integer
Returns 0 if n=0. Returns the Euclidean norm of a vector (returns ||x||_2).
nrm2(x, n=None, inc=1, offset=0)
ARGUMENTS
x 'd' or 'z' matrix
n integer. If n<0, the default value of n is used.
The default value is equal to
(len(x)>=offsetx+1) ? 1+(len(x)-offsetx-1)/incx : 0.
inc positive integer
offset nonnegative integer
Returns 0 if n=0. Returns x^T*y for real or complex x, y.
dotu(x, y, n=None, incx=1, incy=1, offsetx=0, offsety=0)
ARGUMENTS
x 'd' or 'z' matrix
y 'd' or 'z' matrix. Must have the same type as x.
n integer. If n<0, the default value of n is used.
The default value is equal to
(len(x)>=offsetx+1) ? 1+(len(x)-offsetx-1)/incx : 0.
If the default value is used, it must be equal to
len(y)>=offsety+1 ? 1+(len(y)-offsetx-1)/|incy| : 0.
incx nonzero integer
incy nonzero integer
offsetx nonnegative integer
offsety nonnegative integer
Returns 0 if n=0. Returns x^H*y for real or complex x, y.
dot(x, y, n=None, incx=1, incy=1, offsetx=0, offsety=0)
ARGUMENTS
x 'd' or 'z' matrix
y 'd' or 'z' matrix. Must have the same type as x.
n integer. If n<0, the default value of n is used.
The default value is equal to
(len(x)>=offsetx+1) ? 1+(len(x)-offsetx-1)/incx : 0.
If the default value is used, it must be equal to
len(y)>=offsety+1 ? 1+(len(y)-offsetx-1)/|incy| : 0.
incx nonzero integer
incy nonzero integer
offsetx nonnegative integer
offsety nonnegative integer
Returns 0 if n=0. Constant times a vector plus a vector (y := alpha*x+y).
axpy(x, y, alpha=1.0, n=None, incx=1, incy=1, offsetx=0, offsety=0)
ARGUMENTS
x 'd' or 'z' matrix
y 'd' or 'z' matrix. Must have the same type as x.
alpha number (int, float or complex). Complex alpha is only
allowed if x is complex.
n integer. If n<0, the default value of n is used.
The default value is equal to
(len(x)>=offsetx+1) ? 1+(len(x)-offsetx-1)/incx : 0.
incx nonzero integer
incy nonzero integer
offsetx nonnegative integer
offsety nonnegative integer Copies a vector x to a vector y (y := x).
copy(x, y, n=None, incx=1, incy=1, offsetx=0, offsety=0)
ARGUMENTS
x 'd' or 'z' matrix
y 'd' or 'z' matrix. Must have the same type as x.
n integer. If n<0, the default value of n is used.
The default value is given by
(len(x)>=offsetx+1) ? 1+(len(x)-offsetx-1)/incx : 0
incx nonzero integer
incy nonzero integer
offsetx nonnegative integer
offsety nonnegative integer Scales a vector by a constant (x := alpha*x).
scal(alpha, x, n=None, inc=1, offset=0)
ARGUMENTS
alpha number (int, float or complex). Complex alpha is only
allowed if x is complex.
x 'd' or 'z' matrix
n integer. If n<0, the default value of n is used.
The default value is equal to
(len(x)>=offset+1) ? 1+(len-offset-1)/inc : 0.
inc positive integer
offset nonnegative integer Interchanges two vectors (x <-> y).
swap(x, y, n=None, incx=1, incy=1, offsetx=0, offsety=0)
ARGUMENTS
x 'd' or 'z' matrix
y 'd' or 'z' matrix. Must have the same type as x.
n integer. If n<0, the default value of n is used.
The default value is equal to
len(x)>=offsetx+1 ? 1+(len(x)-offsetx-1)/|incx| : 0.
If the default value is used, it must be equal to
len(y)>=offsety+1 ? 1+(len(y)-offsetx-1)/|incy| : 0.
incx nonzero integer
incy nonzero integer
offsetx nonnegative integer
offsety nonnegative integer Interface to the double-precision real and complex BLAS.
Double and complex matrices and vectors are stored in CVXOPT
matrices using the conventional BLAS storage schemes, with the
CVXOPT matrix buffers interpreted as one-dimensional arrays.
For each matrix argument X, an additional integer argument
offsetX specifies the start of the array, i.e., the pointer
X->buffer + offsetX is passed to the BLAS function. The other
arguments (dimensions and options) have the same meaning as in
the BLAS definition. Default values of the dimension arguments
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