Inverse problems for symmetric matrices with a submatrix constraint

DOI10.1016/j.apnum.2006.07.030zbMath1134.65034OpenAlexW2015745953MaRDI QIDQ881484

Yongxin Yuan, Hua Dai

Publication date: 30 May 2007

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2006.07.030

zbMATH Keywords

algorithmnumerical exampleinverse problemsymmetric matrixoptimal approximationgeneralized singular value decompositionleast-squares solutioncanonical correlation decomposition

Mathematics Subject Classification ID

Related Items (14)

A direct method for updating mass and stiffness matrices with submatrix constraints ⋮ Numerical solutions of AXB = C for centrosymmetric matrix X under a specified submatrix constraint ⋮ A symmetric generalized inverse eigenvalue problem in structural dynamics model updating ⋮ Inverse problems for nonsymmetric matrices with a submatrix constraint ⋮ Submatrix constrained least-squares inverse problem for symmetric matrices from the design of vibrating structures ⋮ The anti-symmetric solution of the matrix equation \(AXA^{\top} =B\) on a null subspace ⋮ On nonsingularity of block two-by-two matrices ⋮ The nearness problems for symmetric matrix with a submatrix constraint ⋮ Inverse problems for \((R,S)\)-symmetric matrices in structural dynamic model updating ⋮ Numerical solutions of \(AXB = C\) for mirrorsymmetric matrix \(X\) under a specified submatrix constraint ⋮ The \(\{P,Q,k+1\}\)-reflexive solution of matrix equation \(AXB=C\) ⋮ The nearness problems for symmetric centrosymmetric with a special submatrix constraint ⋮ Least squares solutions of quadratic inverse eigenvalue problem with partially bisymmetric matrices under prescribed submatrix constraints ⋮ The submatrix constraint problem of matrix equation \(AXB+CYD=E\)

Cites Work

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• On the symmetric solutions of linear matrix equations
• Computing the CS decomposition of a partitioned orthonormal matrix
• Perturbation analysis of the canonical correlations of matrix pairs
• Linear matrix equations from an inverse problem of vibration theory
• The inverse problem of bisymmetric matrices with a submatrix constraint
• Towards a Generalized Singular Value Decomposition
• Optimization Procedure to Correct Stiffness and Flexibility Matrices Using Vibration Tests
• Structural Damage Identification Using Assigned Partial Eigenstructure
• Stiffness Matrix Adjustment Using Incomplete Measured Modes
• The Inverse Eigenproblem of Centrosymmetric Matrices with a Submatrix Constraint and Its Approximation

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