Least-squares solution of inverse problem for Hermitian anti-reflexive matrices and its appoximation

DOI10.1007/s10114-005-0549-xzbMath1105.65044OpenAlexW2085012030MaRDI QIDQ2508561

Yuan-Bei Deng, Zhen-yun Peng, Jin-wang Liu

Publication date: 13 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0549-x

zbMATH Keywords

Frobenius normmatrix normreflection matrixnearest matrixleast-squares problemHermitian reflexive matrixHermitian anti-reflexive matrix

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items

The least squares Hermitian (anti)reflexive solution with the least norm to matrix equation \(A X B = C\), (\(R,S\))-conjugate solution to a pair of linear matrix equations, The \(^*\) congruence class of the solutions to a system of matrix equations

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