Results 11 to 20 of about 1,579,149 (313)
P-matrix recognition is co-NP-complete [PDF]
, 2007 This is a summary of the proof by G.E. Coxson that P-matrix recognition is co-NP-complete. The result follows by a reduction from the MAX CUT problem using results of S. Poljak and J. Rohn.
Foniok, Jan
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iScience, 2023 Summary: Because any perturbation in the number of oxidation sites associated with the polymeric backbone can cause changes in the electrical properties, the stability of electrical properties has strongly prevented the wide adoption of most conducting ...
Juexin Huang, Chuanliang Feng
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On matrices whose exponential is a P-matrix
, 2021 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~$\EP$. A matrix is in~$\EP$ if and only if its matrix exponential is a P-matrix for all positive times.
Wu, Chengshuai, Margaliot, Michael
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Advanced Science, 2023 The regulation of inflammatory response at the site of injury and macrophage immunotherapy is critical for tissue repair. Chiral self‐assemblies are one of the most ubiquitous life cues, which is closely related to biological functions, life processes ...
Lei Yang +8 more
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Spectra of matrices with P-matrix powers
Linear Algebra and its Applications, 1986 Let A be an \(n\times n\) matrix with all powers having all principal minors positive. It is not known if these conditions force the eigenvalues of A to be all positive. The authors prove that conclusion for \(n\leq 4\), and show in general that the eigenvalues of A with the same absolute value form the vertices of a regular polygon of odd order, with ...
Charles R. Johnson, Daniel Hershkowitz
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Extensions of the matrix Gelfand-Dickey hierarchy from generalized Drinfeld-Sokolov reduction [PDF]
, 1995 The $p\times p$ matrix version of the $r$-KdV hierarchy has been recently treated as the reduced system arising in a Drinfeld-Sokolov type Hamiltonian symmetry reduction applied to a Poisson submanifold in the dual of the Lie algebra $\widehat{gl}_{pr ...
A. Deckmyn +34 more
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Photodynamic Pattern Memory Surfaces with Responsive Wrinkled and Fluorescent Patterns
Advanced Science, 2020 Reversible pattern systems, namely pattern memory surfaces, possessing tunable morphology play an important role in the development of smart materials; however, the construction of these surfaces is still extensively challenging because of complicated ...
Shuai Chen +5 more
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On some properties of P-matrix sets
Linear Algebra and its Applications, 1999 AbstractA nonempty set %plane1D;49E; in ℝn×n is said to have the row-P-property if every row representative of %plane1D;49E; is a P-matrix. We show that this property is equivalent to saying that for every nonzero x in ℝn there is an index i with x1(Mx)1 > 0 for all M∈%plane1D;49E;.
Yoon J. Song +2 more
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M-matrix and inverse M-matrix extensions
Special Matrices, 2020 A class of matrices that simultaneously generalizes the M-matrices and the inverse M-matrices is brought forward and its properties are reviewed. It is interesting to see how this class bridges the properties of the matrices it generalizes and provides a
McDonald J.J. +6 more
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Good hidden P-matrix sandwiches
Linear Algebra and its Applications, 2007 AbstractWe introduce two new classes of matrices that contain the class of P-matrices and can be recognized in polynomial time. These classes are related to the known classes of Hidden Minkowski and hidden positive row diagonally dominant matrices, which are subclasses of the P-matrix class.
Walter D. Morris, Makoto Namiki
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