# lapgeig¶

## Purpose¶

Computes generalized eigenvalues for a pair of real or complex general matrices.

## Format¶

{ va1, va2 } = lapgeig(A, B)
Parameters: A (NxN matrix) – real or complex general matrix. B (NxN matrix) – real or complex general matrix. va1 (Nx1 vector) – numerator of eigenvalues. va2 (Nx1 vector) – denominator of eigenvalues.

## Remarks¶

va1 and va2 are the vectors of the numerators and denominators respectively of the eigenvalues of the solution of the generalized symmetric eigenproblem of the form $$Aw = eBw$$ where A and B are real or complex general matrices and $$w = va1./va2$$. The generalized eigenvalues are not computed directly because some elements of va2 may be zero, i.e., the eigenvalues may be infinite. This procedure calls the LAPACK routines DGGEV and ZGGEV.