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ðÿÿo¬ùÿÿo'Ø] –¦¶ÆÖæö&6FVfv†–¦¶ÆÖæö&6FVfv a Returns min {t | x + t*e >= 0}

.max_step(x, dims, mnl = 0, sigma = None)

e is defined as follows

- For the nonlinear and 'l' blocks: e is the vector of ones.
- For the 'q' blocks: e is the first unit vector.
- For the 's' blocks: e is the identity matrix.

When called with the argument sigma, also returns the eigenvalues
(in sigma) and the eigenvectors (in x) of the 's' components of x.
Inner product of two vectors in S.

sdot(x, y, dims, mnl= 0)Scales the strictly lower triangular part of the 's' components of
x by 0.5.

triusc(x, dims, offset = 0)Sets the upper triangular part of the 's' components of x equal to
zero and scales the strictly lower triangular part

trisc(x, dims, offset = 0)The inverse of the product x := (y o x) when the 's' components of 
y are diagonal.

sinv(x, y, dims, mnl = 0)The product x := (y o x).

sprod(x, y, dims, mnl = 0, diag = 'N')

If diag is 'D', the 's' part of y is diagonal and only the diagonal
is stored.Converts lower triangular matrix to symmetric.

symm(x, n, offset = 0)

Fills in the upper triangular part of the symmetric matrix stored
in x[offset : offset+n*n] using 'L' storage.Unpacks x into y.

unpack(x, y, dims, mnl = 0, offsetx = 0, offsety = 0)

The vector x is an element of S, with the 's' components stored in
unpacked storage and off-diagonal entries scaled by sqrt(2).
On return, x is copied to y with the 's' components stored in
unpacked storage.In-place version of pack().

pack2(x, dims, mnl = 0)

In-place version of pack(), which also accepts matrix arguments x.
The columns of x are elements of S, with the 's' components stored
in unpacked storage.  On return, the 's' components are stored in
packed storage and the off-diagonal entries are scaled by sqrt(2).Copy x to y using packed storage.

pack(x, y, dims, mnl = 0, offsetx = 0, offsety = 0)

The vector x is an element of S, with the 's' components stored in
unpacked storage.  On return, x is copied to y with the 's' 
components stored in packed storage and the off-diagonal entries 
scaled by sqrt(2).Multiplication with square root of the Hessian.

scale2(lmbda, x, dims, mnl = 0, inverse = 'N')

Computes

Evaluates

    x := H(lambda^{1/2}) * x   (inverse is 'N')
    x := H(lambda^{-1/2}) * x  (inverse is 'I').

H is the Hessian of the logarithmic barrier.Applies Nesterov-Todd scaling or its inverse.

scale(x, W, trans = 'N', inverse = 'N')

Computes

    x := W*x        (trans is 'N', inverse = 'N')
    x := W^T*x      (trans is 'T', inverse = 'N')
    x := W^{-1}*x   (trans is 'N', inverse = 'I')
    x := W^{-T}*x   (trans is 'T', inverse = 'I').

x is a dense 'd' matrix.

W is a dictionary with entries:

- W['dnl']: positive vector
- W['dnli']: componentwise inverse of W['dnl']
- W['d']: positive vector
- W['di']: componentwise inverse of W['d']
- W['v']: lists of 2nd order cone vectors with unit hyperbolic 
  norms
- W['beta']: list of positive numbers
- W['r']: list of square matrices
- W['rti']: list of square matrices.  rti[k] is the inverse
  transpose of r[k]. 

The 'dnl' and 'dnli' entries are optional, and only present when 
the function is called from the nonlinear solver.Miscellaneous functions used by the CVXOPT solvers.ÅKð?k ËKP9ài ÚK' h ÒKð5@g ØKÀ# f ßK`e äK! c êK c ñK0àb öK`/Àd üK`*@d 
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