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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.


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


Bjorn Adlerborn , Bo Kagstrom and Daniel Kressner

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