m_vpropre Module Reference

matrix eigenvalues and eigenvectors More...

Functions/Subroutines
subroutine	EIGEN (NM, N, A, WR, WI, VECS, D, INTC)
subroutine	balanc (nm, n, a, linf, lsup, d)
subroutine	elmhes (nm, n, linf, lsup, a, intc)
subroutine	eltran (nm, n, linf, lsup, a, intc, vecs)
subroutine	hqr2 (nm, n, linf, lsup, a, vecs, wr, wi)
subroutine	balbak (nm, n, linf, lsup, d, z)
subroutine	cdiv (xr, xi, yr, yi, zr, zi)

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Detailed Description

matrix eigenvalues and eigenvectors

AUTHOR : Parlett B., Martin R., Wilkinson J.

DESCRIPTION :

This module contains subroutines to compute matrix eigenvalues and eigenvectors. Parlett, B.N.; and Reinsch, C.: Balancing a Matrix for Calcula- tion of Eigenvalues and Eigenvectors. Numer. Math., Bd 13, Heft 4, 1969, pp. 293-304. Martin, R.S.; and Wilkinson, J.H.: Similarity Reduction of a General Matrix to Hessenberg Form. Numer. Math., Bd. 12, Heft 5, 1968, pp. 349-368. Martin, R.S.; Peters, G.; and Wilkinson, J.H.: The QR Algorithm for Real Hesenberg Matrices. Numer. Math., Bd. 14, Heft 3, 1970, pp. 219-231. Wilkinson, J.H.; and Reinsch, C.: Handbook for Automatic Compu- tation. Volume II - Linear Algebra. Springer-Verlag, 1971.

MODIFICATION :

01/09/2012 - Prague - Refactoring

INFORMATIONS:

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Function/Subroutine Documentation

subroutine m_vpropre::balanc	(	integer	nm,
		integer	n,
		double precision,dimension(nm,nm)	a,
		integer	linf,
		integer	lsup,
		double precision,dimension(nm)	d
	)

Definition at line 1069 of file tools.f90.

subroutine m_vpropre::balbak	(	integer	nm,
		integer	n,
		integer	linf,
		integer	lsup,
		double precision,dimension(nm)	d,
		double precision,dimension(nm,nm)	z
	)

Definition at line 1608 of file tools.f90.

subroutine m_vpropre::cdiv	(	double precision	xr,
		double precision	xi,
		double precision	yr,
		double precision	yi,
		double precision	zr,
		double precision	zi
	)

Definition at line 1649 of file tools.f90.

Referenced by hqr2().

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subroutine m_vpropre::EIGEN	(	INTEGER	NM,
		INTEGER	N,
		DOUBLE PRECISION,dimension(nm,nm)	A,
		DOUBLE PRECISION,dimension(nm)	WR,
		DOUBLE PRECISION,dimension(nm)	WI,
		DOUBLE PRECISION,dimension(nm,nm)	VECS,
		DOUBLE PRECISION,dimension(nm)	D,
		INTEGER,dimension(nm)	INTC
	)

Definition at line 1034 of file tools.f90.

subroutine m_vpropre::elmhes	(	integer	nm,
		integer	n,
		integer	linf,
		integer	lsup,
		double precision,dimension(nm,nm)	a,
		integer,dimension(nm)	intc
	)

Definition at line 1189 of file tools.f90.

subroutine m_vpropre::eltran	(	integer	nm,
		integer	n,
		integer	linf,
		integer	lsup,
		double precision,dimension(nm,nm)	a,
		integer,dimension(nm)	intc,
		double precision,dimension(nm,nm)	vecs
	)

Definition at line 1257 of file tools.f90.

subroutine m_vpropre::hqr2	(	integer	nm,
		integer	n,
		integer	linf,
		integer	lsup,
		double precision,dimension(nm,nm)	a,
		double precision,dimension(nm,nm)	vecs,
		double precision,dimension(nm)	wr,
		double precision,dimension(nm)	wi
	)

Definition at line 1289 of file tools.f90.

References cdiv().

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