Algebraic matrix equations in systems theory
Hernández, Vicente G. (1985-1986)
Portugaliae mathematica
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Displaying similar documents to “Closed form solutions of coupled algebraic and differential matrix equations”
Algebraic matrix equations in systems theory
Solving two-point boundary value problems for the non monic regular matrix differential equation
Navarro, E., Jódar, L. (1991)
Portugaliae mathematica
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A matrix function useful in the estimation of linear continuous-time models.
Heinz Neudecker (2006)
SORT
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Singular bilateral boundary value problems for discrete generalized Lyapunov matrix equations.
Lucas Jódar Sánchez (1987)
Stochastica
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Existence and uniqueness conditions for solving singular initial and two-point boundary value problems for discrete generalized Lyapunov matrix equations and explicit expressions of solutions are given.
Nonnegative order iterates of Bernstein polynomials and their limiting semigroup
Silva, M.R. da (1983-1984)
Portugaliae mathematica
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Some remarks on a certain method of successive approximations in differential equations
M. Kwapisz (1963)
Colloquium Mathematicae
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An algebraic approach for solving boundary value matrix problems: existence, uniqueness and closed form solutions.
Lucas A. Jódar Sanchez (1988)
Revista Matemática de la Universidad Complutense de Madrid
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In this paper we show that in an analogous way to the scalar case, the general solution of a non homogeneous second order matrix differential equation may be expressed in terms of the exponential functions of certain matrices related to the corresponding characteristic algebraic matrix equation. We introduce the concept of co-solution of an algebraic equation of the type X^2 + A1.X + A0 = 0, that allows us to obtain a method of the variation of the parameters for the matrix case and...
The recurrent calculation of the inversion of a special class of matrices
František Mikloško (1978)
Banach Center Publications
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Solving a class of generalized Lyapunov operator differential equations without the exponential operator function.
Lucas A. Jódar Sánchez (1990)
Publicacions Matemàtiques
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In this paper a method for solving operator differential equations of the type X' = A + BX + XD; X(0) = C, avoiding the operator exponential function, is given. Results are applied to solve initial value problems related to Riccati type operator differential equations whose associated algebraic equation is solvable.