Solving constrained matrix equations and Cramer rule

DOI10.1016/j.amc.2003.10.043zbMath1062.15007OpenAlexW2064676836MaRDI QIDQ702646

Sanzheng Qiao, Guo-rong Wang

Publication date: 17 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.10.043

zbMATH Keywords

generalized inversesCramer ruleconstrained matrix equations

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24)

Related Items (6)

Block idempotent matrices and generalized Schur complement ⋮ The least squares bisymmetric solution of quaternion matrix equation \(AXB = C\) ⋮ Representation and approximate for generalized inverse \(A_{T,S}^{(2)}\): revisited ⋮ An iterative method for solving general restricted linear equations ⋮ Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations ⋮ Explicit formulas for determinantal representations of the Drazin inverse solutions of some matrix and differential matrix equations

Cites Work

• On g-inverses and the nonsingularity of a bordered matrix \(\begin{pmatrix} A&B\\ C&0\end{pmatrix}\)
• A Cramer rule for finding the solution of a class of singular equations
• A characterization for the \(W\)-weighted Drazin inverse and a Cramer rule for the \(W\)-weighted Drazin inverse solution
• On extensions of Cramer's rule for solutions of restricted linear systems¹
• A cramer rule for solution of the general restricted linear equation^∗
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