Results 11 to 20 of about 175,846,736 (289)
New techniques for solving some matrix and matrix differential equations
Ain Shams Engineering Journal, 2015 Matrix and matrix differential equations play an important role in system theory, control theory, stability theory of differential equations, communication systems and many other fields.
Zeyad Abdel Aziz Al-Zhour
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Solving a System of Sylvester-like Quaternion Matrix Equations
Symmetry, 2022 Using the ranks and Moore-Penrose inverses of involved matrices, in this paper we establish some necessary and sufficient solvability conditions for a system of Sylvester-type quaternion matrix equations, and give an expression of the general solution to the system when it is solvable.
Ruo-Nan Wang +2 more
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Mathematics, 2018 This paper introduces a new numerical approach to solving a system of fractional differential equations (FDEs) using the Legendre wavelet operational matrix method (LWOMM).
Aydin Secer, Selvi Altun
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Alternative methods for representing the inverse of linear programming basis matrices [PDF]
, 1988 Methods for representing the inverse of Linear Programming (LP) basis matrices are closely related to techniques for solving a system of sparse unsymmetric linear equations by direct methods.
Mitra, G, Tamiz, M
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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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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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A study of matrix equations [PDF]
, 1987 Matrix equations have been studied by Mathematicians for many years. Interest in them has grown due to the fact that these equations arise in many different fields such as vibration analysis, optimal control, stability theory etc.
Eileen M. McDonald (5242613)
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On the Hermitian R‐Conjugate Solution of a System of Matrix Equations [PDF]
Journal of Applied Mathematics, 2012 Let R be an n by n nontrivial real symmetric involution matrix, that is, R = R−1 = RT ≠ In. An n × n complex matrix A is termed R‐conjugate if , where denotes the conjugate of A. We give necessary and sufficient conditions for the existence of the Hermitian R‐conjugate solution to the system of complex matrix equations AX = C and XB = D and present an
Chang-Zhou Dong +2 more
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Boundary value problems for matrix Euler-Poisson-Darboux equation with data on a characteristic
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 We consider the system of $n$ partial differential equations in matrix notation (the system of Euler-Poisson-Darboux equations). For the system we formulate the Cauchy-Goursat and Darboux problems for the case when the eigenvalues of the coefficient ...
Aleksander A Andreev +1 more
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Interval fuzzy matrix equations [PDF]
, 2013 summary:This paper deals with the solvability of interval matrix equations in fuzzy algebra. Fuzzy algebra is the algebraic structure in which the classical addition and multiplication are replaced by maximum and minimum, respectively.
Draženská, Emília +4 more
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