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CD-ROM Today - The Disc! 5
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CD-ROM Today - The Disc (Issue 5)(November 1994).ISO
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eig
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1994-09-21
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eig:
Syntax: eig ( A )
eig ( A , B )
eigs ( A )
eigs ( A , B )
eign ( A )
eign ( A , B )
Description:
eig ( A ):
Computes the eigenvectors, and values of matrix
A. eig() returns a LIST with elements `val' and `vec'
which are the eigenvalues and eigenvectors. Eig checks
for symmetry in A, and uses the appropriate solver.
Uses the LAPACK subroutines DSYEV/ZHEEV or
DGEEV/ZGEEV.
eig ( A , B ):
Computes the eigenvectors, and values of A, and B.
Where A * x = lambda * B * x. The values and vectors
are returned in a list with element names `val' and
`vec'. Eig checks for symmetry in A and B and uses the
appropriate solver.
Uses the LAPACK subroutines DSYGV/ZHEGV or DGEGV/ZGEGV
eigs: This function offers solutions to both the standard
and generalized eigenvalue problem, like eig, but the
symmetric solvers are always used.
eign: This function offers solutions to both the standard
and generalized eigenvalue problem, like eig, but the
non-symmetric solvers are always used. Furthermore,
eign returns the left eigenvectors, and the
eigenvalues in alpha/beta format for the generalized
eigenvalue problem.