A characterization and determinantal formula for the generalized inverse \(A^{(2)}_{T,S}\) and its applications.

DOI10.1016/S0096-3003(00)00128-4zbMath1035.15009OpenAlexW2137371913MaRDI QIDQ1855125

Sheng Zhang

Publication date: 28 January 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(00)00128-4

zbMATH Keywords

characterizationsDrazin inversegeneralized inversesMoore-Penrose inversedeterminantal formulaCramer rulerestricted linear equations

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Linear equations (linear algebraic aspects) (15A06)

Related Items (2)

A singular woodbury and pseudo-determinant matrix identities and application to Gaussian process regression ⋮ A note on the perturbation of an outer inverse

Cites Work

• Unnamed Item
• A Cramer rule for minimum-norm (T) least-squares (S) solution of inconsistent linear equations
• A Cramer rule for finding the solution of a class of singular equations
• 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
• 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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