Results 31 to 40 of about 1,236 (297)
Logarithm of a Non-Singular Complex Matrix via the Dunford–Taylor Integral
Axioms, 2022 Using the Dunford–Taylor integral and a representation formula for the resolvent of a non-singular complex matrix, we find the logarithm of a non-singular complex matrix applying the Cauchy’s residue theorem if the matrix eigenvalues are known or a ...
Diego Caratelli, Paolo Emilio Ricci
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Wronskians, dualities and FZZT-Cardy branes
Nuclear Physics B, 2016 The resolvent operator plays a central role in matrix models. For instance, with utilizing the loop equation, all of the perturbative amplitudes including correlators, the free-energy and those of instanton corrections can be obtained from the spectral ...
Chuan-Tsung Chan +3 more
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On Fundamental Solution for Autonomous Linear Retarded Functional Differential Equations
Mathematics, 2020 This document focuses attention on the fundamental solution of an autonomous linear retarded functional differential equation (RFDE) along with its supporting cast of actors: kernel matrix, characteristic matrix, resolvent matrix; and the Laplace ...
Clement McCalla
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"Spectrally gapped" random walks on networks: a Mean First Passage Time formula
SciPost Physics, 2021 We derive an approximate but explicit formula for the Mean First Passage Time of a random walker between a source and a target node of a directed and weighted network.
Silvia Bartolucci, Fabio Caccioli, Francesco Caravelli, Pierpaolo Vivo
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On the resolvent approach to the spectral decomposition of a regular matrix pencil [PDF]
, 1990 We give a simple approach to the Weierstrass canonical form of the regular matrix pencil sE−A based on the partial fraction decomposition of the “generalized resolvent” (sE−A ...
Delebecque, F., F. Delebecque
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Tau-functions for the Ablowitz--Ladik hierarchy: the matrix-resolvent method [PDF]
, 2021 15 pagesWe extend the matrix-resolvent method for computing logarithmic derivatives of tau-functions to the Ablowitz--Ladik hierarchy. In particular, we derive a formula for the generating series of the logarithmic derivatives of an arbitrary tau ...
Yang, Di, Cafasso, Mattia
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Special Matrices, 2017 We obtain explicit interrelations between new Dyukarev-Stieltjes matrix parameters and orthogonal matrix polynomials on a finite interval [a, b], as well as the Schur complements of the block Hankel matrices constructed through the moments of the ...
Choque-Rivero A.E.
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Qualitative aspects of Volterra integro-dynamic system on time scales
Electronic Journal of Qualitative Theory of Differential Equations, 2013 This paper deals with the resolvent, asymptotic stability and boundedness of the solution of time-varying Volterra integro-dynamic system on time scales in which the coefficient matrix is not necessarily stable.
Vasile Lupulescu +2 more
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Random Perturbations of Matrix Polynomials [PDF]
, 2020 A sum of a large-dimensional random matrix polynomial and a fixed low-rank matrix polynomial is considered. The main assumption is that the resolvent of the random polynomial converges to some deterministic limit. A formula for the limit of the resolvent
Pagacz, Patryk, Wojtylak, Michał
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GRID PATTERNS AS A MATHEMATICAL MODEL OF MULTIPLE ELEMENTS MEASURING DEVICES
Радіоелектронні і комп'ютерні системи, 2019 Computer modeling of measuring devices that contains matrix of electrodes are examined. Method of local weighted approximation is applied. Special location of the measurement nodes that forms a matrix structure (grid pattern) is applied for quadratic ...
А. В. Карташов +1 more
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