Using the GSVD and the lifting technique to find \(\{P,k+1\}\) reflexive and anti-reflexive solutions of \(AXB=C\)

DOI10.1016/j.aml.2011.01.039zbMath1214.65019OpenAlexW1606162719MaRDI QIDQ533465

Alicia Herrero, Nestor Janier Thome

Publication date: 3 May 2011

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

Full work available at URL: https://doi.org/10.1016/j.aml.2011.01.039

zbMATH Keywords

numerical exampleslifting techniqueKronecker productmatrix equationgeneralized singular value decompositionreflexive solutionpotent matrixanti-reflexive solution

Mathematics Subject Classification ID

Related Items (8)

The solvability conditions for the inverse eigenvalue problem of normal skew \(J\)-Hamiltonian matrices ⋮ The \(\{P, Q, k + 1 \}\)-reflexive solution to system of matrix equations \(A X = C\), \(X B = D\) ⋮ Submatrix constrained least-squares inverse problem for symmetric matrices from the design of vibrating structures ⋮ The least squares Hermitian (anti)reflexive solution with the least norm to matrix equation \(A X B = C\) ⋮ The Hermitian \(\{P,\mathrm k+1\}\)-(anti-)reflexive solutions of a linear matrix equation ⋮ The \(\{P,Q,k+1\}\)-reflexive solution of matrix equation \(AXB=C\) ⋮ Optimization problems on the rank of the solution to left and right inverse eigenvalue problem ⋮ An inverse eigenproblem for generalized reflexive matrices with normal $k+1$-potencies

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