Info Node: (gsl-ref.info)Eigensystems

CFHT HOME gsl-ref.info: Eigensystems


up: Top next: Fast Fourier Transforms FFTs prev: Linear Algebra Back to Software Index

15 Eigensystems
***************

This chapter describes functions for computing eigenvalues and
eigenvectors of matrices.  There are routines for real symmetric, real
nonsymmetric, complex hermitian, real generalized symmetric-definite,
complex generalized hermitian-definite, and real generalized
nonsymmetric eigensystems.  Eigenvalues can be computed with or without
eigenvectors.  The hermitian and real symmetric matrix algorithms are
symmetric bidiagonalization followed by QR reduction.  The nonsymmetric
algorithm is the Francis QR double-shift.  The generalized nonsymmetric
algorithm is the QZ method due to Moler and Stewart.

The functions described in this chapter are declared in the header file
‘gsl_eigen.h’.

* Real Symmetric Matrices
* Complex Hermitian Matrices
* Real Nonsymmetric Matrices
* Real Generalized Symmetric-Definite Eigensystems
* Complex Generalized Hermitian-Definite Eigensystems
* Real Generalized Nonsymmetric Eigensystems
* Sorting Eigenvalues and Eigenvectors
* Examples
Examples<10>.
* References and Further Reading
References and Further Reading<10>.

automatically generated by info2www version 1.2