Results 91 to 100 of about 5,647,728 (213)
Mehrmann V. On classes of matrices containing M-matrices, totally nonnegative and hermitian positive semidefinite matrices.
Mehrmann, Volker
core
On the Positive Semidefinite Nature of a Certain Matrix Expression
By "positive definite matrices" or, briefly, definite matrices, we mean in this note self-adjoint matrices all the characteristic values of which are positive. Alternatively, they can be defined as matrices, all the hermitian quadratic forms of which are
Mutsuo M. Yanase, Eugene P. Wigner
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From ƒ-Divergence to Quantum Quasi-Entropies and Their Use
Csiszár’s ƒ-divergence of two probability distributions was extended to the quantum case by the author in 1985. In the quantum setting, positive semidefinite matrices are in the place of probability distributions and the quantum generalization is called ...
Dénes Petz
doaj +1 more source
Control Design Based on Generalized Lur'e Lyapunov Functions for Sampled‐Data Lur'e Systems
ABSTRACT This article addresses the synthesis of stabilizing control laws for aperiodic sampled‐data Lur'e systems. Based on a hybrid system representation of the closed‐loop system and a timer‐dependent generalized Lur'e–Postnikov type Lyapunov function, stabilization conditions are obtained by separating decision variables with the application of two
Arthur Scolari Fagundes +2 more
wiley +1 more source
Limits to the Hall Effect and Other Nonreciprocal Effects in Three‐Dimensional Metamaterials
Comprehensive and fundamental bounds on nonreciprocal effects in three‐dimensional metamaterials are derived. They reveal that the effective Hall mobility cannot exceed the largest constituent mobility, that, under certain conditions, the Verdet constant cannot be enhanced, and that, for constituents with Hall coefficients of the same sign, the largest
Christian Kern, Graeme W. Milton
wiley +1 more source
Complementarity Problems And Positive Definite Matrices [PDF]
The class of positive definite and positive semidefinite matrices is one of the most frequently encountered matrix classes both in theory and practice. In statistics, these matrices appear mostly with symmetry.
Bhimashankaram, P. +7 more
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Given matrices AA and BB of the same order, AA is called a section of BB if R(A)∩R(B−A)={0}{\mathscr{R}}\left(A)\cap {\mathscr{R}}\left(B-A)=\left\{0\right\} and R(AT)∩R((B−A)T)={0}{\mathscr{R}}\left({A}^{T})\cap {\mathscr{R}}\left({\left(B-A)}^{T ...
Eagambaram N.
doaj +1 more source
In this paper, we obtain new results concerning the generalizations of additive and multiplicative majorizations by means of exponential convexity. We prove positive semi-definiteness of matrices generated by differences deduced from majorization type ...
Naveed Latif, Josip Pečarić
doaj +2 more sources
Optimal Fisheries Management Using Transferable Shares of a Convex Tax
ABSTRACT In this paper, we propose a fishery control scheme that happens to be first best in the context of a Gordon‐Schaefer model with asymmetric information about effort/harvesting costs. It is widely acknowledged that in the absence of regulations, competition between vessels leads to a competitive game wherein the outcome is inefficient.
Helge Berglann +2 more
wiley +1 more source
A determinantal inequality for positive semidefinite matrices
Let A, B, C be n × n positive semidefinite matrices. It is known that det(A + B + C) + det C ≥ det(A + C) + det(B + C), which includes det(A + B) ≥ det A + det B as a special case.
Lin, Minghua
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