Authors introduce backward error analysis, condition numbers, and pseudospectra for rectangular multispectral eigenvalue problems, noting that best-conditioned eigenvalues often align with globally optimal solutions in system identification examples.
Least squares realization of LTI models is an eigenvalue problem
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MacaulayLab is a freely available Matlab toolbox that solves multivariate polynomial systems and rectangular multiparameter eigenvalue problems with one common numerical linear algebra approach independent of polynomial basis and monomial order while handling positive-dimensional solution sets at at
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Rectangular Multispectral Perturbation Theory
Authors introduce backward error analysis, condition numbers, and pseudospectra for rectangular multispectral eigenvalue problems, noting that best-conditioned eigenvalues often align with globally optimal solutions in system identification examples.
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Solving Multivariate Polynomial Systems and Rectangular Multiparameter Eigenvalue Problems with MacaulayLab
MacaulayLab is a freely available Matlab toolbox that solves multivariate polynomial systems and rectangular multiparameter eigenvalue problems with one common numerical linear algebra approach independent of polynomial basis and monomial order while handling positive-dimensional solution sets at at