Procrustes problems for (\(P,Q,\eta \))-reflexive matrices

DOI10.1016/j.cam.2009.11.057zbMath1188.65049OpenAlexW2015244240MaRDI QIDQ848562

Qian Wang, Musheng Wei, Zhi-Gang Jia

Publication date: 4 March 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.11.057

zbMATH Keywords

generalized inverseProcrustes problem\((P, Q, \eta)\)-reflexive\(k\)-involutaryapproximal solution

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Hermitian, skew-Hermitian, and related matrices (15B57) Numerical solutions to inverse eigenvalue problems (65F18)

Related Items (4)

Structured least-squares problems and inverse eigenvalue problems for \((P,Q)\)-reflexive matrices ⋮ The solutions to linear matrix equations \(AX=B\), \(YA=D\) with \(k\)-involutory symmetries ⋮ Procrustes problems and associated approximation problems for matrices with \(k\)-involutory symmetries ⋮ Procrustes problems and inverse eigenproblems for multilevel block α -circulants

Cites Work

• Unnamed Item
• An efficient algorithm for the least-squares reflexive solution of the matrix equation \(A_{1}XB_{1} = C_{1}, A_{2}XB_{2} = C_{2}\)
• A numerical method for computing the Hamiltonian Schur form
• The inverse eigenvalue problem for Hermitian anti-reflexive matrices and its approximation
• Generalized inverses. Theory and applications.
• Pseudo-centrosymmetric matrices, with applications to counting perfect matchings
• Classroom Note:Centrosymmetric Matrices
• Generalized Reflexive Matrices: Special Properties and Applications

This page was built for publication: Procrustes problems for (\(P,Q,\eta \))-reflexive matrices