\returns the inverse of the matrix of which *this is the LU decomposition. * * \note If this matrix is not invertible, the returned matrix

Is the atom concave?

Is the atom convex?

A zero constraint is DNLP if its argument is smooth representable.

The expression is a disciplined parameterized expression.

Is the solver installed?

Is the expression convex after linearizing all smooth subexpressions?

Returns true if expression is parameters-affine (and variable-free)

Is the Leaf real valued?

Is the constant a sparse matrix?

Test if w is a valid weight vector. w must have nonnegative integer or fractional elements, and sum to 1. Examples -------- >>>

Helper function to combine arguments.

Returns an affine approximation to the expression computed at the variable/parameter values. Gives an elementwise lower (upper) bound for convex

Sets the last row to [0 ... 0 1] */

Construct random nonnegative matrices (C, L) of shapes (c_dims, z_dims) respectively. Define an optimization problem with a m

\returns a view of the lower triangular matrix L */

Combines objectives as max of weighted terms. Args: objectives: A list of Minimize/Maximize objectives. weights: A vector of weights.

Returns the mean of x.

The name of the solver.

\returns the number of nonzero coefficients which is in practice the number * of stored coefficients. */

The 2-norm of x. Parameters ---------- x : Expression or numeric constant The value to take the norm of. If `x` is 2D and `axis`

\returns the outer size. * * \note For a vector, this returns just 1. For a matrix (non-vector), this is the major dimension * with

Assumes :math:`\\texttt{expr} = X_1 \\otimes \\cdots \\otimes X_n` is a 2D Kronecker product composed of :math:`n = \\texttt{len(dims)}` impl

Permute the dimensions of the expression. Alias for transpose with specified axes. Parameters ---------- expr : AffAtom The

Return a sparse matrix that extracts the svec of each PSD matrix. Given a PSD constraint whose argument has shape ``(*batch, n, n)``, build a

Given a PyObject, return a string describing its type. */

Require the given PyArrayObject to have a specified number of * dimensions. If the array has the specified number of dimensions, * return 1. O

*/

Reshape tensor (column-major/Fortran order). Note: C-order reshape is handled at the atom level by transposing before and after the r

* Get the number of rows of the input matrix and the Q matrix */

Solve a problem represented by data returned from apply.

Adjoint of split_solution.

Whether the solver supports quadratic objectives.

Expand vectorized triangle(s) to full symmetric matrix/matrices. Parameters ---------- tri_vec : numpy.ndarray 1-D array of trian

Free numeric

Generate unrestricted real inputs.

Update parameter values in the C DAG from the problem's parameters. Sparsity structures remain valid after this call.