Results 11 to 20 of about 1,450,703 (382)
$\Psi$-bounded solutions for a Lyapunov matrix differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2009 It is proved a necessary and sufficient condition for the existence of at least one $\Psi$-bounded solution of a linear nonhomogeneous Lyapunov matrix differential equation.
Aurel Diamandescu
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Perturbation analysis of a matrix differential equation $\dot x=ABx$ [PDF]
Applied Mathematics and Nonlinear Sciences, 2018 Two complex matrix pairs $(A,B)$ and $(A',B')$ are contragrediently equivalent if there are nonsingular $S$ and $R$ such that $(A',B')=(S^{-1}AR,R^{-1}BS)$. M.I. Garc\'{\i}a-Planas and V.V.
Garcìa-Planas, M. Isabel +1 more
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A computational solution for a Matrix Riccati differential equation
Numerische Mathematik, 1979 This paper is concerned with the solution of the finite time Riccati equation. The solution to the Riccati equation is given in terms of the partition of the transition matrix. Matrix differential equations for the partition of the transition matrix are derived and are solved using computational methods.
M. Razzaghi
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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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Oscillation of Superlinear Matrix Differential Equations [PDF]
Proceedings of the American Mathematical Society, 1989 The main purpose of this paper is to extend to matrix differential equations the classic theorem of \textit{F. V. Atkinson} [Pac. J. Math. 5, 643-647 (1955; Zbl 0065.320)], that a necessary and sufficient condition for the solutions of \(y''=f(t)y^{2n+1}\) to be oscillatory is that \(\int^{\infty}_{0}tf(t)dt=\infty\).
Ahlbrandt, Calvin D. +2 more
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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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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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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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