Solves the generalized Sylvester equation.
Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix in packed storage.
Computes the eigenvalues and left and right eigenvectors of a general matrix, with preliminary matrix balancing, and computes reciprocal condition numbers for the eigenvalues and right eigenvectors.
Computes all eigenvalues and, optionally, eigenvectors of a complex generalized Hermitian positive-definite eigenproblem using a divide and conquer method.
Computes the generalized eigenvalues, Schur form, and the left and/or right Schur vectors for a pair of nonsymmetric matrices.
Computes the LU factorization of a general m-by-n matrix using partial pivoting with row interchanges (unblocked algorithm).
Applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order less than or equal to 10.
Generates test matrices for the generalized eigenvalue problem, their corresponding right and left eigenvector matrices, and also reciprocal condition numbers for all eigenvalues and the reciprocal condition numbers of eigenvectors corresponding to the 1th and 5th eigenvalues.
Copies a triangular matrix from the standard full format (TR) to the standard packed format (TP) .