The nonunique shorted matrix

DOI10.1016/0024-3795(95)00599-4zbMath0849.15015OpenAlexW2063371121MaRDI QIDQ1914217

K. Manjunatha Prasad, Sujit Kumar Mitra

Publication date: 10 November 1996

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(95)00599-4

zbMATH Keywords

generalized inverseidempotent matricesminus partial ordernonunique shorted matricesseparability of subspacesset of general solutions

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items

The regular shorted matrix and the hybrid sum ⋮ The nonunique parallel sum ⋮ Inverse complements of a matrix and applications ⋮ Generalized core-nilpotent decomposition ⋮ Diagrammatic presentation of inner and outer inverses: \(S\)-diagrams ⋮ Inverse complements and strongly unit regular elements

Cites Work

• A pair of simultaneous linear matrix equations \(A_ 1XB_ 1=C_ 1,A_ 2XB_ 2=C_ 2\) and a matrix programming problem
• What are Schur complements, anyway?
• Shorted operators and rank decomposition matrices
• Shorted matrices - an extended concept and some applications
• Separation theorems
• The maximal and minimal ranks of \(A - BXC\) with applications
• Noncore square matrices miscellany
• The natural partial order on a regular semigroup
• Shorted Operators. II
• Unified Least Squares Approach to Linear Estimation in a General Gauss–Markov Model
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