Least-squares solutions of constrained inverse eigenproblem and associated optimal approximation problem

DOI10.1080/00207160.2012.735662zbMath1278.65044OpenAlexW2082221979MaRDI QIDQ2852123

Jinrong Shen, Dingwu Li, Wei Liu

Publication date: 8 October 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2012.735662

zbMATH Keywords

algorithmnumerical examplessingular value decompositioninverse eigenvalue problemoptimal approximationleast-squares solutionconstrained solution

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Numerical solutions to inverse eigenvalue problems (65F18)

Cites Work

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• The inverse eigenvalue problem of generalized reflexive matrices and its approximation
• The solvability conditions for the inverse eigenproblems of symmetric and generalized centro-symmetric matrices and their approximations
• The solvability conditions for the inverse eigenvalue problem of the symmetrizable matrices.
• Inverse eigenproblems and associated approximation problems for matrices with generalized symmetry or skew symmetry.
• Least-squares solution for inverse eigenpair problem of nonnegative definite matrices
• The solvability conditions for the inverse eigenvalue problems of centro-symmetric matrices
• A kind of inverse eigenvalue problems of the Jacobi matrix
• A class of constrained inverse eigenproblem and associated approximation problem for skew symmetric and centrosymmetric matrices
• THE SOLVABILITY CONDITIONS FOR A CLASS OF CONSTRAINED INVERSE EIGENVALUE PROBLEM OF ANTISYMMETRIC MATRICES
• Inverse eigenvalue problem in structural design

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