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Disproving the P-Matrix Property

, 2011
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A Linear Complementarity Problem with a P-Matrix

SIAM Review, 2004
In this paper, we present an application of a linear complementarity problem where M is a P-matrix but, in general, is neither an H-matrix nor a positive definite matrix. This application occurs originally in [J. Rohn, Linear Algebra Appl., 126 (1989), pp. 39--78], which is less known to the LCP community.
exaly   +3 more sources

P-Matrix Analysis of Surface Acoustic Waves in Piezoelectric Phononic Crystals

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 2016
Large time/memory costs have constituted a significant obstacle for accurately analyzing surface acoustic waves (SAWs) in large size two-dimensional (2-D) piezoelectric phononic crystals (PnCs). To overcome this obstacle, this study introduces the unit P matrix and its associated cascading.
Yahui Tian, Mathieu Pernot
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A Smoothing Method for a Mathematical Program with P-Matrix Linear Complementarity Constraints

Computational Optimization and Applications, 2004
We consider a mathematical program whose constraints involve a parametric P-matrix linear complementarity problem with the design (upper level) variables as parameters. Solutions of this complementarity problem define a piecewise linear function of the parameters. We study a smoothing function of this function for solving the mathematical program.
Masao Fukushima, Xiaojun Chen
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Randomized pivot algorithms for P-matrix linear complementarity problems

Mathematical Programming, 2002
We study orientations of the n-cube that come from simple principal pivot algorithms for the linear complementarity problem with a P-matrix. We show that these orientations properly generalize those that are obtained from linear objective functions on polytopes combinatorially equivalent to the cube.
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Simple Stochastic Games and P-Matrix Generalized Linear Complementarity Problems

Lecture Notes in Computer Science, 2005
We show that the problem of finding optimal strategies for both players in a simple stochastic game reduces to the generalized linear complementarity problem (GLCP) with a P-matrix, a well-studied problem whose hardness would imply NP = co–NP. This makes the rich GLCP theory and numerous existing algorithms available for simple stochastic games.
Bernd Gärtner, Leo Rüst
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The P matrix methods for the quark model

Nuclear Physics A, 1987
Abstract Physical foundations of the P-matrix approach, connecting P-matrix poles to multiquark states, are explored. The QCB interaction is constructed explicitly for ππ, πN, πK, KN and NN systems. Deuteron and tritium characteristics are calculated.
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Examining thePmatrix

Physical Review D, 1987
Exact model calculations are employed to test the reliability of methods using properties of bag-model states to obtain P- or F-matrix parameters.
Gregory A. Crawford, Gerald A. Miller
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Causal P-matrix description of leaky SAW devices

2016 IEEE International Ultrasonics Symposium (IUS), 2016
In this work a causal P-matrix method for leaky SAW(LSAW) devices and the determination of the thereto needed COM-parameters slowness s and reflection r are presented. As a consequence of causality s and r in general are complex. The imaginary parts of reflection and slowness are interpreted as the exchange of energy between SAW and BAW.
Gholamreza Dadgar-Javid, Karl Wagner, Markus Mayer, Thomas Ebner   +3 more
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