Results 281 to 290 of about 19,039,568 (311)
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On some subclasses of P‐matrices
Numerical Linear Algebra with Applications, 2007AbstractA matrix with positive row sums and all its off‐diagonal elements bounded above by their corresponding row averages is called a B‐matrix by J. M. Peña in References (SIAM J. Matrix Anal. Appl. 2001; 22:1027–1037) and (Numer. Math. 2003; 95:337–345).
Hou-Biao Li, Ting-Zhu Huang, Hong Li
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LipschitzianQ-matrices areP-matrices
Mathematical Programming, 1996In this note, we show that LipschitzianQ-matrices areP-matrices by obtaining a necessary condition on LipschitzianQ0-matrices. The sufficiency of this condition has also been established by the first two authors along with another coauthor (Murthy, Parthasarathy and Sriparna, 1995).
T. Parthasarathy +2 more
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Linear Complementarity and P-Matrices for Stochastic Games
2007We define the first nontrivial polynomially recognizable subclass of P-matrixGeneralized Linear Complementarity Problems (GLCPs) with a subexponential pivot rule. No such classes/rules were previously known. We show that a subclass of Shapley turn-based stochastic games, subsuming Condon's simple stochastic games, is reducible to the new class of GLCPs.
Ola Svensson, Sergei G. Vorobyov
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Periodica Mathematica Hungarica, 1994
The relation between \(EP-\lambda\) matrices and \(E^ kP - \lambda\) matrices over an arbitrary field \(F\) is studied. Further, conditions for the product of \(E^ kP - \lambda\) matrices to be an \(E^ kP - \lambda\) matrix and for the reverse order law to hold for the polynomial Moore- Penrose inverse of the product of \(E^ kP - \lambda\) matrices are
Meenakshi, Ar., Anandam, N.
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The relation between \(EP-\lambda\) matrices and \(E^ kP - \lambda\) matrices over an arbitrary field \(F\) is studied. Further, conditions for the product of \(E^ kP - \lambda\) matrices to be an \(E^ kP - \lambda\) matrix and for the reverse order law to hold for the polynomial Moore- Penrose inverse of the product of \(E^ kP - \lambda\) matrices are
Meenakshi, Ar., Anandam, N.
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Sets of Generalized Complementarity Problems and P-Matrices
Mathematics of Operations Research, 1980The existence and uniqueness of solutions for a set of 2n simultaneous generalized linear complementarity problems (one per orthant of Rn) is studied. If all the complementary points are nondegenerate, each problem has a unique solution if and only if the coefficient matrix M is a P-matrix.
George J. Habetler, Michael M. Kostreva
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Cascading formulas for identical transducer P-matrices
IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 1996Formulas are derived for the P-matrix of a cascade of identical acoustic transducers, in terms of the P-matrix of one elementary transducer. The derivation makes no assumptions other than reciprocity and the validity of the P-matrix description. Consequently, the results are valid for a wide range of cases, such as simple SAW gratings or group-type ...
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On a Characterization ofP-Matrices
SIAM Journal on Applied Mathematics, 1971It has been shown earlier that the complementarity problem \[ w - Mz = q,\quad w\geqq 0,\quad z\geqq 0,\quad w^T z = 0 \] has a unique solution for each $q \in R^n $ if and only if M is a P-matrix.Here we show that if the complementarity problem has a unique solution for each \[ q \in \Gamma = \{ I_{ \cdot 1} , \cdots ,I_{ \cdot n} , - I_{ \cdot 1 ...
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On Relation Between P-Matrices and Regularity of Interval Matrices
2017We explore new results between P-matrix property and regularity of interval matrices . In particular, we show that an interval matrix is regular in and only if some special matrices constructed from its center and radius matrices are P-matrices . We also investigate the converse direction.
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Eigenvalue bounds for some classes of P‐matrices
Numerical Linear Algebra with Applications, 2009AbstractEigenvalue bounds are provided. It is proved that the minimal eigenvalue of a Z‐matrix strictly diagonally dominant with positive diagonals lies between the minimal and the maximal row sums. A similar upper bound does not hold for the minimal eigenvalue of a matrix strictly diagonally dominant with positive diagonals but with off‐diagonal ...
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