Generalized inverse eigenvalue problem for (P,Q)-conjugate matrices and the associated approximation problem

DOI10.1007/s11859-016-1143-zzbMath1363.65066OpenAlexW2423123093MaRDI QIDQ2825270

Mao-Lin Liang, Li-Fang Dai

Publication date: 6 October 2016

Published in: Wuhan University Journal of Natural Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11859-016-1143-z

zbMATH Keywords

numerical examplesoptimal approximationconjugate matricesgeneralized singular value decompositiongeneralized inverse eigenvalue problemcanonical correlation decompositionleast residual problem

Mathematics Subject Classification ID

Measures of association (correlation, canonical correlation, etc.) (62H20) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Numerical solutions to inverse eigenvalue problems (65F18)

Related Items (2)

The generalized conjugate direction method for solving quadratic inverse eigenvalue problems over generalized skew Hamiltonian matrices with a submatrix constraint ⋮ An iterative method for obtaining the least squares solutions of quadratic inverse eigenvalue problems over generalized Hamiltonian matrix with submatrix constraints

Cites Work

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• A survey on inverse and generalized inverse eigenvalue problems for Jacobi matrices
• Inverse eigenvalue problem in structural design
• Characterization and Properties of (R,S)-Symmetric, (R,S)-Skew Symmetric, and (R,S)-Conjugate Matrices

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