Results 21 to 30 of about 1,429,804 (373)
Prime decomposition of quadratic matrix polynomials
AIMS Mathematics, 2021 We study the prime decomposition of a quadratic monic matrix polynomial. From the prime decomposition of a quadratic matrix polynomial, we obtain a formula of the general solution to the corresponding second-order differential equation.
Yunbo Tian, Sheng Chen
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Open Physics, 2022 Since obtaining an analytic solution to some mathematical and physical problems is often very difficult, academics in recent years have focused their efforts on treating these problems using numerical methods.
Ghamkhar Madiha +8 more
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Numerical differential continuation approach for systems of nonlinear equations with singular Jacobian [PDF]
AUT Journal of Mathematics and Computing, 2022 It is well known that, one of the useful and rapid methods for a nonlinear system of algebraic equations is Newton’s method. Newton’s method has at least quadratic convergence when the Jacobian is a nonsingular matrix in a neighborhood of the solution ...
Mohammad Ali Mehrpouya
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Green's Matrix for a Second Order Self-Adjoint Matrix Differential Operator [PDF]
, 2009 A systematic construction of the Green's matrix for a second order, self-adjoint matrix differential operator from the linearly independent solutions of the corresponding homogeneous differential equation set is carried out.
Bayram Tekin +12 more
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Nonlinear Eigenvalue Approach to Differential Riccati Equations for Contraction Analysis [PDF]
, 2016 In this paper, we extend the eigenvalue method of the algebraic Riccati equation to the differential Riccati equation (DRE) in contraction analysis. One of the main results is showing that solutions to the DRE can be expressed as functions of nonlinear ...
Kawano, Yu, Ohtsuka, Toshiyuki
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Lax matrix solution of c=1 Conformal Field Theory [PDF]
, 2014 To a correlation function in a two-dimensional conformal field theory with the central charge $c=1$, we associate a matrix differential equation $\Psi' = L \Psi$, where the Lax matrix $L$ is a matrix square root of the energy-momentum tensor.
Eynard, Bertrand, Ribault, Sylvain
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On linear matrix differential equations
Journal of Mathematical Analysis and Applications, 1971 AbstractIf F(z) ≠ 0 is a holomorphic function on a connected open subset U of the complex plane, it is easily shown that F satisfies a homogeneous linear differential equation of order n on U with leading coefficient 1 if and only if all the zeros of F have order less than n. This theorem will be generalized to holomorphic m × n matrix valued functions
Richard M. Koch, Franklin Lowenthal
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On ψ Bounded Solutions for a Nonlinear Lyapunov Matrix Differential Equation on
Annals of West University of Timisoara - Mathematics and Computer Science, 2018 Using Banach and Schauder - Tychono fixed point theorems, existence results for a nonlinear Lyapunov matrix differential equation on are given. The obtained results generalize and extend the results from [5] and [18].
A. Diamandescu
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The Solution Space of the Unitary Matrix Model String Equation and the Sato Grassmannian [PDF]
, 1991 The space of all solutions to the string equation of the symmetric unitary one-matrix model is determined. It is shown that the string equation is equivalent to simple conditions on points $V_1$ and $V_2$ in the big cell $\Gr$ of the Sato Grassmannian ...
A. Schwarz +40 more
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Oscillation of Superlinear Matrix Differential Equations [PDF]
Proceedings of the American Mathematical Society, 1989 Le theoreme classique d'Atkinson donnant des conditions necessaires et suffisantes pour l'oscillation d'equations differentielles scalaires superlineaires d'ordre 2 est etendu au cas des equations differentielles matricielles ...
Calvin D. Ahlbrandt +2 more
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