Advanced Matrix Blocks - Optional Module for REXYGEN

Advanced matrix blocks are optional function blocks implementing advanced matrix algorithms based on orthogonal transformations. These algorithms work with real matrices whose elements are of type "double" and most of these algorithms are algorithms converted from the BLAS and LAPACK systems to the C language. The most important of these blocks are:

• ML_DGEES – Computes the eigenvalues, the Schur form, and, optionally, the matrix of Schur vectors
• ML_DGEEV – Computes the eigenvalues and, optionally, the left and/or right eigenvectors
• ML_DGELSD – Computes the minimum-norm solution to a real linear least squares problem
• ML_DGESDD – Computes the singular value decomposition (SVD) of a real M-by-N matrix A
• ML_DTRSYL – Solves the real Sylvester matrix equation for quasi-triangular matrices A and B

Detailed description of these function blocks can be found in the reference manual “Function Blocks of REXYGEN” and in the LAPACK documentation https://www.netlib.org/lapack/explore-html/.