linearalgebra Module Reference

Public Member Functions
subroutine	invertmatrix (A, n)
subroutine	lusolve (n, A, x)
subroutine	ludecomp (a, n, pivot)
subroutine	complexinvertmatrix (A, n)
subroutine	complexludecomp (a, n, pivot)
subroutine	eigenvalues (A, n, Vals)

Member Function/Subroutine Documentation

subroutine linearalgebra::complexinvertmatrix	(	complex(kind=dp), dimension(:,:)	A,
		integer	n
	)

References complexludecomp(), and messages::error().

Referenced by lcondensate(), and lcondensatebubbles().

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subroutine linearalgebra::complexludecomp	(	complex(kind=dp), dimension (:,:)	a,
		integer	n,
		integer, dimension (:)	pivot
	)

LU- decomposition by gaussian elimination for complex valued linear system. Row pivoting is used.

result : AP = L'U ; L' = LD; pivot[i] is the swapped column number for column i. Result is stored in place of original matrix.

References messages::error().

Referenced by complexinvertmatrix(), and ludecomposition::complexinvertmatrix().

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subroutine linearalgebra::eigenvalues	(	real(kind=dp), dimension(:,:)	A,
		integer	n,
		complex(kind=dp), dimension(:)	Vals
	)

Solve eigenvalues of a nonsymmetric matrix A(n,n) The matrix is modified in the process.

References francis(), and hesse().

Referenced by solverutils::solveeigensystem().

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subroutine linearalgebra::invertmatrix	(	real(kind=dp), dimension(:,:)	A,
		integer	n
	)

References messages::error(), and ludecomp().

Referenced by elementdescription::addelementdescription(), computestressandstrain(), solverutils::condensate(), solverutils::condensatep(), differentials::curl(), flowboundaryresidual(), flowedgeresidual(), flowinsideresidual(), globaltolocalcoords(), differentials::jouleheat(), lcondensate(), lcondensatestabilizationbubble(), linefaceintersect(), elementdescription::linefaceintersection2(), lineintersectioncoords(), localboundarymatrix(), differentials::lorentzforce(), lorentzforceave(), lumpedsprings(), neohookeanlocalmatrix(), solverutils::nscondensate(), materialmodels::secondinvariant(), staticcondensation(), and vankacreate().

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subroutine linearalgebra::ludecomp	(	real(kind=dp), dimension (:,:)	a,
		integer	n,
		integer, dimension (:)	pivot
	)

LU- decomposition by gaussian elimination. Row pivoting is used.

result : AP = L'U ; L' = LD; pivot[i] is the swapped column number for column i. Result is stored in place of original matrix.

References messages::error().

Referenced by invertmatrix(), ludecomposition::invertmatrix(), ludecomposition::lusolve(), and lusolve().

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subroutine linearalgebra::lusolve	(	integer	n,
		real(kind=dp), dimension(n,n)	A,
		real(kind=dp), dimension(n)	x
	)

References messages::error(), and ludecomp().

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The documentation for this module was generated from the following file:

• LinearAlgebra.src