Generalized eigenvalue problem - Open Access .click

SIAM Journal on Matrix Analysis and Applications, 2006
In this paper a generalized eigenvalue problem for nonsquare pencils of the form $A-\lambda B$ with $A, B\in {\bf C}^{m\times n}$ and $m>n$, which was proposed recently by Boutry, Elad, Golub, and Milanfar [SIAM J. Matrix Anal. Appl., 27 (2006), pp. 582-601], is studied.
Delin Chu, Gene H Golub
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Newton's Method for a Generalized Inverse Eigenvalue Problem

Numerical Linear Algebra With Applications, 1997
A family of matrices $A(c)$ and $B(c)$ dependent on a vector $c=(c_1,\dots,c_n)\in \Omega \subset \mathbb R^n$ is introduced, $A(c)=A_0+\sum_{k=1}^n c_kA_k$, $B(c)=B_0+\sum_{k=1}^n c_kB_k$, $B(c)>0$, where $A_k,B_k$, $k=0,\dots n$, are given real symmetric matrices.
Hua Dai
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Generalized Tensor Eigenvalue Problems

SIAM Journal on Matrix Analysis and Applications, 2015
Summary: This paper is devoted to generalized tensor eigenvalue problems. We focus on the properties and perturbations of the spectra of regular tensor pairs. Employing different techniques, we extend several classical results from matrices or matrix pairs to tensor pairs, such as the Gershgorin circle theorem, the Collatz-Wielandt formula, the Bauer ...
Weiyang Ding, Yimin Wei 0001
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mathematics
eigenvalues, singular values, and eigenvectors
eigenvalue problem

fos: mathematics
numerical examples
applied mathematics

statistics - machine learning
fos: computer and information sciences
matrix pencils