# QZ v0.1-7

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## Generalized Eigenvalues and QZ Decomposition

Generalized eigenvalues and eigenvectors use QZ decomposition (generalized Schur decomposition). The decomposition needs an N-by-N non-symmetric matrix A or paired matrices (A,B) with eigenvalues reordering mechanism. The decomposition functions are mainly based Fortran subroutines in complex*16 and double precision of LAPACK library (version 3.4.2. or later).

# QZ

• Status:
• Author: Wei-Chen Chen

QZ is an R package providing QZ factorization for generalized eigenvalues and eigenvectors via QZ decomposition (generalized Schur decomposition). Typically, the decomposition needs an N-by-N non-symmetric matrix A or paired matrices (A,B) with eigenvalues reordering mechanism. The decomposition functions are mainly based Fortran subroutines in complex*16 and double precision of LAPACK library (version 3.4.2. or later).

## QZ requires

• R version 3.6.0 or higher.
• For installing QZ, see INSTALL file for details.
• More information about QZ can be found in the QZ vignette at QZ/inst/doc/QZ-guide.pdf.

## Functions in QZ

 Name Description Generalized Eigenvalues Generalized Eigen Values qz.dgges QZ Decomposition for Real Paired Matrices qz.ztgsen Reordered QZ Decomposition for Complex Paired Matrices QZ-package Generalized Eigenvalues and QZ Decomposition fda.geigen Generalized Eigen Analysis as in fda Package Example datasets Small example datasets qz.zgges QZ Decomposition for Complex Paired Matrices QZ Decomposition Reordering Reordering QZ Decomposition QZ Decomposition QZ Decomposition qz.zggev Generalized Eigenvalues Decomposition for Complex Paired Matrices qz.ztrsen Reordered QZ Decomposition for a Complex Matrix qz.dggev Generalized Eigenvalues Decomposition for Real Paired Matrices qz.zgees QZ Decomposition for a Complex Matrix qz.zgeev Generalized Eigenvalues Decomposition for a Complex Matrix Conjugate transpose Conjugate Transpose for Complex Matrix Print methods Functions for Printing Objects According to Classes qz.dtgsen Reordered QZ Decomposition for Real Paired Matrices qz.dgees QZ Decomposition for a Real Matrix qz.dtrsen Reordered QZ Decomposition for a Real Matrix qz.dgeev Generalized Eigenvalues Decomposition for a Real Matrix No Results!

## Vignettes of QZ

 Name QZ-include/00-preamble.tex QZ-include/01-acknowledgement.tex QZ-include/01-introduction.tex QZ-include/02-method.tex QZ-include/03-implementation.tex QZ-include/04-data_example.tex QZ-include/05-conclusion.tex QZ-include/QZ.bib QZ-include/jss.bst QZ-include/jss.cls QZ-guide.Rnw build_pdf.sh No Results!