Semipositive matrices and their semipositive cones
| Autor: | K. C. Sivakumar, Michael J. Tsatsomeros |
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| Rok vydání: | 2017 |
| Předmět: |
Generalized inverse
Mathematics::Complex Variables General Mathematics Mathematical analysis 0211 other engineering and technologies Duality (optimization) 021107 urban & regional planning 010103 numerical & computational mathematics 02 engineering and technology Operator theory 01 natural sciences Potential theory Theoretical Computer Science Combinatorics Matrix (mathematics) Cone (topology) Complementarity theory 0101 mathematics Mathematics::Symplectic Geometry Analysis Mathematics Q-matrix |
| Zdroj: | Positivity. 22:379-398 |
| ISSN: | 1572-9281 1385-1292 |
| Popis: | The semipositive cone of $$A\in \mathbb {R}^{m\times n}, K_A = \{x\ge 0\,:\, Ax\ge 0\}$$ , is considered mainly under the assumption that for some $$x\in K_A, Ax>0$$ , namely, that A is a semipositive matrix. The duality of $$K_A$$ is studied and it is shown that $$K_A$$ is a proper polyhedral cone. The relation among semipositivity cones of two matrices is examined via generalized inverse positivity. Perturbations and intervals of semipositive matrices are discussed. Connections with certain matrix classes pertinent to linear complementarity theory are also studied. |
| Databáze: | OpenAIRE |
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