A Generalized Matrix Inverse That Is Consistent with Respect to Diagonal Transformations

DOI10.1137/17M113890XzbMath1408.15005MaRDI QIDQ4643330

Jeffrey K. Uhlmann

Publication date: 24 May 2018

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

linear systemsDrazin inverseMoore-Penrose inversegeneralized matrix inverseunit consistency

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29)

Related Items (1)

On the relative gain array (RGA) with singular and rectangular matrices

Cites Work

• Unnamed Item
• Projection matrices, generalized inverse matrices, and singular value decomposition.
• Scalings of matrices satisfying line-product constraints and generalizations
• Analysis of approximate inverses in tomography. I: Resolution analysis of common inverses
• Generalized inverses. Theory and applications.
• Concerning nonnegative matrices and doubly stochastic matrices
• Pseudo-Inverses in Associative Rings and Semigroups
• Applications of the Drazin Inverse to Linear Systems of Differential Equations with Singular Constant Coefficients
• A Relationship Between Arbitrary Positive Matrices and Doubly Stochastic Matrices

This page was built for publication: A Generalized Matrix Inverse That Is Consistent with Respect to Diagonal Transformations