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visits | member for | 2 years, 1 month |
seen | Nov 16 '12 at 11:43 | |
stats | profile views | 21 |
Nov 15 |
comment |
Moore-Penrose question
Felix, a reverse order law for the triple product might give some nice answer. For instance, see R. Hartwig, The reverse order law revisited, Linear Algebra Appl., 76 (1986), 241-246. |
Nov 6 |
answered | Approximating commuting matrices by commuting diagonalizable matrices |
Oct 15 |
awarded | Teacher |
Oct 14 |
answered | Duality between extremal points and extremal maps |
Oct 6 |
comment |
Sufficient conditions for inverse-positivity
What about semipositivity ? An $m \times n$ matrix is said to be semipositive if there exists $x \in \mathbb{R}^n_+$ such that $Ax \in int(\mathbb{R}^m_+)$; $A$ is said to be minimally semipositive if in addition to being semipositive, no proper $m \times p$ submatrix is semipositive. For a square matrix, minimal semipositivity is the same as inverse positivity. I do not know if MSP is easy to verify. Two references are : Johnson, Kerr and Stanford, Semipositivity of matrices, LAMA, 37(4) (1994), 265-271 and H.J Werner, Characterizations of semipositivity, LAMA, 37(4) (1994), 273-278. |
Oct 5 |
awarded | Editor |
Oct 5 |
revised |
Sufficient conditions for inverse-positivity
deleted 3 characters in body |
Oct 5 |
answered | Sufficient conditions for inverse-positivity |