The matrix nearness problem for symmetric matrices associated with the matrix equation \([A^{T}XA, B^{T}XB] = [C, D]\)

DOI10.1016/j.laa.2006.03.032zbMath1115.65045OpenAlexW1988308435MaRDI QIDQ855588

Shi-Fang Yuan, Yuan Lei, An-Ping Liao

Publication date: 7 December 2006

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2006.03.032

zbMATH Keywords

convergencenumerical resultseigenvaluesLanczos methodeigenvectorssymmetric matrixmatrix equationgeneralized singular value decompositionoptimal approximate solutioninner-outer iterationleast-squares solutioncanonical correlation decomposition

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Matrix equations and identities (15A24)

Related Items (9)

Least-squares solutions and least-rank solutions of the matrix equation AXA ^*  = B and their relations ⋮ Least squares η-bi-Hermitian problems of the quaternion matrix equation (AXB,CXD) = (E,F) ⋮ A new iterative algorithm for solving a class of matrix nearness problem ⋮ Submatrix constrained least-squares inverse problem for symmetric matrices from the design of vibrating structures ⋮ Algebraic techniques for the least squares problems in elliptic complex matrix theory and their applications ⋮ Finite iterative algorithms for a common solution to a group of complex matrix equations ⋮ The matrix nearness problem associated with the quaternion matrix equation \(AXA^H+BYB^H=C\) ⋮ LSQR iterative common symmetric solutions to matrix equations \(AXB = E\) and \(CXD = F\) ⋮ The *congruence class of the solutions of some matrix equations

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