Condensed Cramer rule for solving restricted matrix equations

DOI10.1016/j.amc.2006.05.059zbMath1110.15012OpenAlexW2089680867MaRDI QIDQ864772

Chao Gu, Guo-rong Wang

Publication date: 13 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.059

zbMATH Keywords

rankindexCramer rule\(W\)-weighted Drazin inverserestricted matrix equations

Mathematics Subject Classification ID

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

Related Items (1)

Explicit formulas for determinantal representations of the Drazin inverse solutions of some matrix and differential matrix equations

Cites Work

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• A Cramer rule for finding the solution of a class of singular equations
• A Drazin inverse for rectangular matrices
• A Cramer rule for least-norm solutions of consistent linear equations
• A Cramer rule for the least-norm, least-squared-error solution of inconsistent linear equations
• Solving a kind of restricted matrix equations and Cramer rule
• Displacement structure of \(W\)-weighted Drazin inverse \(A_{d,W}\) and its perturbation
• Condition number related with \(W\)-weighted Drazin inverse and singular linear systems
• A characterization for the \(W\)-weighted Drazin inverse and a Cramer rule for the \(W\)-weighted Drazin inverse solution
• A Cramer rule for solution of the general restricted matrix equation
• PCR algorithm for the parallel computation of the solution of a class of singular linear systems
• On extensions of Cramer's rule for solutions of restricted linear systems¹
• A cramer rule for solution of the general restricted linear equation^∗
• A Short Proof of Cramer's Rule

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