Laureano F. Escudero (1984)
Trabajos de Estadística e Investigación Operativa
Similarity:
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.
Yongge Tian, Yonghui Liu (2006)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Navarro, E., Jódar, L. (1991)
Portugaliae mathematica
Similarity:
Lucas A. Jódar Sanchez (1988)
Revista Matemática de la Universidad Complutense de Madrid
Similarity:
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...
Tadeusz Kaczorek (2010)
International Journal of Applied Mathematics and Computer Science
Similarity:
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,...
Henrik H. Martens (1992)
Publicacions Matemàtiques
Similarity:
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.
Lubomír Kubáček, Ludmila Kubáčková (1997)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Similarity:
Thomas Sauer (2002)
RACSAM
Similarity:
The paper considers stationary vector subdivision schemes, that is, subdivision schemes acting on vector valued sequences by using a matrix valued mask, and derives the analog of the well-known "zero condition" for an arbitrary number of variables as well as arbitrary expanding dilation matrices.