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UMINF 15.12

PDHGEQZ User Guide

Given a general matrix pair (A,B) with real entries, we provide software routines for computing a generalized Schir decomposition (S,T). The real and complex conjugate pairs of eigenvalues appears as 1 x 1 and 2 x 2 blocks respectively, along the diagonals of (S,T) and can be rendered in any order. Typically, this functionality is used to compute orthogonal bases for a pair of deflating subspaces corresponding to a selected set of eigenvalues. The package is written in Fortran 90 and targets distributed memory machines.

Keywords

aggressive early deflation, bulge chasing, generalized eigenvalue problem, infinite eigenvalues, level 3 performance, multishift, nonsymmetric QZ algorithm, parallel algorithms, software, userguide

Authors

Bjorn Adlerborn , Bo Kagstrom and Daniel Kressner

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Page Responsible: Frank Drewes
2022-09-30