The nonunique shorted matrix
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Publication:1914217
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
generalized inverseidempotent matricesminus partial ordernonunique shorted matricesseparability of subspacesset of general solutions
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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