Computing several eigenvalues of nonlinear eigenvalue problems by selection
نویسندگان
چکیده
منابع مشابه
Nonlinear Eigenvalue Problems with Specified Eigenvalues
This work considers eigenvalue problems that are nonlinear in the eigenvalue parameter. Given such a nonlinear eigenvalue problem T , we are concerned with finding the minimal backward error such that T has a set of prescribed eigenvalues with prescribed algebraic multiplicities. While the usual resolvent norm addresses this question for a single eigenvalue of multiplicity one, the general sett...
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We consider the distance from a (square or rectangular) matrix pencil to the nearest matrix pencil in 2-norm that has a set of specified eigenvalues. We derive a singular value optimization characterization for this problem and illustrate its usefulness for two applications. First, the characterization yields a singular value formula for determining the nearest pencil whose eigenvalues lie in a...
متن کاملNonlinear Eigenvalue Problems
Heinrich Voss Hamburg University of Technology 115.1 Basic Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115-2 115.2 Analytic matrix functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115-3 115.3 Variational Characterization of Eigenvalues . . . . . . . . 115-7 115.4 General Rayleigh Functionals . . . . . . . . . . . . . . . . . . . ...
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The numerical computation of derivatives of eigenvalues and eigenvectors has been an active research topic due to its wide applications in engineering and the physical sciences. There are many numerical methods available in the literatures for computing derivatives of eigenvalues and eigenvectors for standard eigenvalue problems and quadratic eigenvalue problems. However, almost all existing me...
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ژورنال
عنوان ژورنال: Calcolo
سال: 2020
ISSN: 0008-0624,1126-5434
DOI: 10.1007/s10092-020-00363-9