la_lapack::ggbal Interface Reference

GGBAL: balances a pair of general complex matrices (A,B). This involves, first, permuting A and B by similarity transformations to isolate eigenvalues in the first 1 to ILO$-$1 and last IHI+1 to N elements on the diagonal; and second, applying a diagonal similarity transformation to rows and columns ILO to IHI to make the rows and columns as close in norm as possible. Both steps are optional. Balancing may reduce the 1-norm of the matrices, and improve the accuracy of the computed eigenvalues and/or eigenvectors in the generalized eigenvalue problem A*x = lambda*B*x. More...

Public Member Functions
	la_cggbal
	la_dggbal
	la_qggbal
	la_sggbal
	la_wggbal
	la_zggbal

Detailed Description

GGBAL: balances a pair of general complex matrices (A,B). This involves, first, permuting A and B by similarity transformations to isolate eigenvalues in the first 1 to ILO$-$1 and last IHI+1 to N elements on the diagonal; and second, applying a diagonal similarity transformation to rows and columns ILO to IHI to make the rows and columns as close in norm as possible. Both steps are optional. Balancing may reduce the 1-norm of the matrices, and improve the accuracy of the computed eigenvalues and/or eigenvectors in the generalized eigenvalue problem A*x = lambda*B*x.

Member Function/Subroutine Documentation

la_cggbal()

la_lapack::ggbal::la_cggbal

la_dggbal()

la_lapack::ggbal::la_dggbal

la_qggbal()

la_lapack::ggbal::la_qggbal

la_sggbal()

la_lapack::ggbal::la_sggbal

la_wggbal()

la_lapack::ggbal::la_wggbal

la_zggbal()

la_lapack::ggbal::la_zggbal

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

• la_lapack.F90