Algebraic matrix equations in systems theory
Hernández, Vicente G. (1985-1986)
Portugaliae mathematica
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Displaying similar documents to “Semi-algebraic complexity-additive complexity of diagonalization of quadratic forms.”
Algebraic matrix equations in systems theory
The recurrent calculation of the inversion of a special class of matrices
František Mikloško (1978)
Banach Center Publications
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A numerical method of matrix spectral factorization
Zdeněk Vostrý (1972)
Kybernetika
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The multiplicative matrix commutator equation (A,X)=B
Cain, Bryan E., Zaballa, Ion (1992)
Portugaliae mathematica
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An equivalent matrix pencilfor bivariate polynomial matrices
Mohamed Boudellioua (2006)
International Journal of Applied Mathematics and Computer Science
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In this paper, we present a simple algorithm for the reduction of a given bivariate polynomial matrix to a pencil form which is encountered in Fornasini-Marchesini's type of singular systems. It is shown that the resulting matrix pencil is related to the original polynomial matrix by the transformation of zero coprime equivalence. The exact form of both the matrix pencil and the transformation connecting it to the original matrix are established.
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 additive inverse characteristic polynomial theorem
Silva, Fernando C. (1990)
Portugaliae mathematica
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Numerical solution of boundary value problems for selfadjoint differential equations of th order
Jiří Taufer (2004)
Applications of Mathematics
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The paper is devoted to solving boundary value problems for self-adjoint linear differential equations of th order in the case that the corresponding differential operator is self-adjoint and positive semidefinite. The method proposed consists in transforming the original problem to solving several initial value problems for certain systems of first order ODEs. Even if this approach may be used for quite general linear boundary value problems, the new algorithms described here exploit...