Least-squares solution of inverse problem for Hermitian anti-reflexive matrices and its appoximation
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Publication:2508561
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
Frobenius normmatrix normreflection matrixnearest matrixleast-squares problemHermitian reflexive matrixHermitian anti-reflexive matrix
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical computation of matrix norms, conditioning, scaling (65F35)
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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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