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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Displaying similar documents to “On Lyapunov transformations of linear systems of implicit differential equations”
Solving two-point boundary value problems for the non monic regular matrix differential equation
Métodos para la actualización de los factores de Q y R de una matriz.
Laureano F. Escudero (1984)
Trabajos de Estadística e Investigación Operativa
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Recientemente se han propuesto varios métodos para modificar los factores Q y R de una matriz una vez que se ha eliminado (o añadido) una fila o una columna. Normalmente la descripción de estos métodos se efectúa en el contexto de una determinada aplicación; quizá sea ésta la causa de su escasa difusión.
On Nonadaptive Search Problem
Kolev, Emil (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 91A46, 91A35. We consider nonadaptive search problem for an unknown element x from the set A = {1, 2, 3, . . . , 2^n}, n ≥ 3. For fixed integer S the questions are of the form: Does x belong to a subset B of A, where the sum of the elements of B is equal to S? We wish to find all integers S for which nonadaptive search with n questions finds x. We continue our investigation from [4] and solve the last remaining case n = 2^k , k ≥ 2. ...
Representation of solutions of general linear differential systems of the second order
Ondřej Došlý (1985)
Czechoslovak Mathematical Journal
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Some applications of the matrix Haffian in connection with differentiable matrix functions of a central Wishart variate.
Heinz Neudecker (2001)
Qüestiió
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In this paper we revisit Haff's seminal work on the matrix Haffian as we proposed to call it. We review some results, and give new derivations. Use is made of the link between the matrix Haffian ∇F and the differential of the matrix function, dF.
A footnote to the Poincaré complete reducibility theorem.
Henrik H. Martens (1992)
Publicacions Matemàtiques
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Poincaré's work on the reduction of Abelian integrals contains implicitly an algorithm for the expression of a theta function as a sum of products of theta functions of fewer variables in the presence of reduction. The aim of this paper is to give explicit formulations and reasonably complete proofs of Poincaré's results.
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...
Similarity transformation of matrices to one common canonical form and its applications to 2D linear systems
Tadeusz Kaczorek (2010)
International Journal of Applied Mathematics and Computer Science
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The notion of a common canonical form for a sequence of square matrices is introduced. Necessary and sufficient conditions for the existence of a similarity transformation reducing the sequence of matrices to the common canonical form are established. It is shown that (i) using a suitable state vector linear transformation it is possible to decompose a linear 2D system into two linear 2D subsystems such that the dynamics of the second subsystem are independent of those of the first one,...