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Linear Algebra and its Applications
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Samir Mondal +2 more
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Samir Mondal +2 more
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A Linear Complementarity Problem with a P-Matrix
SIAM Review, 2004Summary: 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 by \textit{J. Rohn} [Linear Algebra Appl. 126, 39--78 (1989; Zbl 0712.65029)], which is less known to the LCP community. Its focus is in computing the
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Computation of Error Bounds for P-matrix Linear Complementarity Problems
Mathematical Programming, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaojun Chen 0001, Shuhuang Xiang
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The P-matrix problem is co-NP-complete
Mathematical Programming, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The P matrix methods for the quark model
Nuclear Physics A, 1987Abstract 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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A Smoothing Method for a Mathematical Program with P-Matrix Linear Complementarity Constraints
Computational Optimization and Applications, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaojun Chen 0001, Masao Fukushima
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On matrices whose exponential is a P-matrix
Communications in Optimization TheorySummary: A matrix is called a P-matrix if all its principal minors are positive. P-matrices have found important applications in functional analysis, mathematical programming, and dynamical systems theory. We introduce a new class of real matrices denoted \(\mathbb{E}^{\mathbb{P}}\).
Wu, Chengshuai +2 more
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