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Eigenvalues are a special set of scalars associated with a linear system of equations (i.e., a matrix equation) that are sometimes also known as characteristic roots, characteristic values (Hoffman and Kunze 1971), proper values, or latent roots (Marcus and Minc 1988, p. 144).
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Eigenvectors: MATLAB vs LAPACK DGGEV or DGGEVX
The best way to find the answer to this question was to experiment:
We calculated the Eigen values & vectors of two badly-conditioned matrices with MATLAB R2013b by using eig command like eig(a,b,'qz …
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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') …
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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 …