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LAPACK (Linear Algebra PACKage) is a commonly used library of subroutines for numerical linear algebra tasks, including solutions of linear sets of equations, linear least squares, eigenvalue problems, and singular value decomposition. LAPACK routines may be used with fortran, C and relatives and a variety of other languages.

1 vote

Eigenvectors: MATLAB vs LAPACK DGGEV or DGGEVX

Based on the explanations on the following link, MATLAB R2009a implemented LAPACK DGGEV for doing eig(a,b,'qz'): https://stackoverflow.com/questions/26808510/which-algorithm-do-dggev-or-dsygv-eigen-solvers-in-lapack-implement-is-it-qz … Therefore, we implemented DGGEV (and also DGGEVX) routines from LAPACK in our C++ code by using LAPACKE which is a "C" language wrapper for LAPACK developed by INTEL-MKL team. …
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4 votes
2 answers
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Eigenvectors: MATLAB vs LAPACK DGGEV or DGGEVX

If we call LAPACK DGGEV or DGGEVX routines for two badly-conditioned matrices in a C++ code, will we get the same eigen-values & vectors as MATLAB's eig command with 'qz' algorithm like: eig(a,b,'qz')? … Is there any possibility that eigenvectors of MATLAB are different from LAPACK DGGEV or DGGEVX? …
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1 vote
1 answer
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LAPACK DGGEVX: BALANC option

I'm using DGGEVX routine from LAPACKE with BALANC option as shown below, but to my surprise changing BALANC option from 'N' to 'P' or 'S' or 'B' has no effect on the output Eigen values & vectors. Doe …
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