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PLACEMENT OF L-CONE AND M-CONE IN THE PERIPHERAL PHOTORECEPTOR MATRIX

, 1993
Cm Cicerone, Shiro Otake
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Improving CUR Matrix Decomposition and the Nystr\"{o}m Approximation

, 2013
Shusen Wang, Zhihua Zhang
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Accurate solutions of M-matrix Sylvester equations

Numerische Mathematik, 2011
The authors present a relative perturbation theory for an \(M\)-matrix Sylvester equation (MSE). Specifically, the MSE is meant by the matrix equation \(AX + XB = C\) where \(A\) and \(B\) have positive diagonal entries and nonpositive off-diagonal entries; \(P = I_m \otimes A + B^T \otimes I_n\) is a nonsingular \(M\)-matrix; and \(C\) is entry-wise ...
Xue, Jungong, Xu, Shufang, Li, Ren-Cang
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Accurate solutions of M-matrix algebraic Riccati equations

Numerische Mathematik, 2011
This paper is concerned with the relative perturbation theory and its entrywise relatively accurate numerical solutions of an Riccati equation \(XDX-AX-B+C=0\), where the block-matrix \([{B\atop -C}{-D\atop A}]\) is a nonsingular or an irreducible singular \(M\)-matrix. Such Riccati equation has a unique nonnegative solution.
Xue, Jungong, Xu, Shufang, Li, Ren-Cang
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A note on a criterion for M-matrix

Computational Mathematics and Modeling, 2009
There are many ways to characterize \(M\)-matrices. One of these is: a real \(n\times n\) matrix \(A\) is an \(M\)-matrix if and only if all its off-diagonal entries are \(\leq0\) and all leading principal minors are positive. The authors present a further criterion which may be simpler to verify.
Hashimoto, Tomoaki, Amemiya, Takashi
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M-matrix products having positive principal minors

Linear and Multilinear Algebra, 1984
Sufficient conditions are given for powers and products of M-matrices to have all principal minors positive. Several of these conditions involve directed graphs of the matrices. In particular we show that if A and B are irreducible M-matrices which have longest simple circuit of length two with A+B having no simple circuit longer than three, then the ...
Charles R. Johnson, D. D Olesky, P. van den Driessche   +2 more
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