The inverse eigenvalue problem for Hermitian anti-reflexive matrices and its approximation

DOI10.1016/j.amc.2004.03.016zbMath1065.65057OpenAlexW2060189101MaRDI QIDQ1765874

Zhen-yun Peng

Publication date: 23 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2004.03.016

zbMATH Keywords

numerical examplesbest approximationinverse eigenvalue problemmatrix norminverse singular value problemsHermitian anti-reflexive matrix

Mathematics Subject Classification ID

Numerical solutions to inverse eigenvalue problems (65F18)

Related Items

Structured least-squares problems and inverse eigenvalue problems for \((P,Q)\)-reflexive matrices ⋮ Procrustes problems for (\(P,Q,\eta \))-reflexive matrices ⋮ Inverse eigenvalue problems for skew-Hermitian reflexive and anti-reflexive matrices and their optimal approximations ⋮ Eigenvector-free solutions to \(AX = B\) with \(PX = XP\) and \(X^H = sX\) constraints ⋮ An iterative method for the least squares symmetric solution of matrix equation \(AXB = C\) ⋮ Parameterized inverse singular value problem for anti-bisymmetric matrices ⋮ The inverse eigenvalue problem for a Hermitian reflexive matrix and the optimization problem ⋮ Inverse eigenvalue problems of tridiagonal symmetric matrices and tridiagonal bisymmetric matrices ⋮ The least squares Hermitian (anti)reflexive solution with the least norm to matrix equation \(A X B = C\) ⋮ An inverse eigenproblem for generalized reflexive matrices with normal $k+1$-potencies ⋮ The Hermitian reflexive solutions to the matrix inverse problem \(AX=B\) ⋮ Left and right inverse eigenpairs problem of generalized centrosymmetric matrices and its optimal approximation problem

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