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Displaying 21 – 40 of 60

Descriptor fractional linear systems with regular pencils

Tadeusz Kaczorek (2013)

International Journal of Applied Mathematics and Computer Science

Methods for finding solutions of the state equations of descriptor fractional discrete-time and continuous-time linear systems with regular pencils are proposed. The derivation of the solution formulas is based on the application of the Z transform, the Laplace transform and the convolution theorems. Procedures for computation of the transition matrices are proposed. The efficiency of the proposed methods is demonstrated on simple numerical examples.

Eigenvalues of Hermite and Laguerre ensembles : large beta asymptotics

Ioana Dumitriu, Alan Edelman (2005)

Annales de l'I.H.P. Probabilités et statistiques

Hierarchy of closures of matrix pencils.

Pervouchine, Dmitri D. (2004)

Journal of Lie Theory

Higher-order linear matrix descriptor differential equations of Apostol-Kolodner type.

Kalogeropoulos, Grigoris I., Karageorgos, Athanasios D., Pantelous, Athanasios A. (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

La controverse de 1874 entre Camille Jordan et Leopold Kronecker

Frédéric Brechenmacher (2007)

Revue d'histoire des mathématiques

Une vive querelle oppose en 1874 Camille Jordan et Leopold Kronecker sur l’organisation de la théorie des formes bilinéaires, considérée comme permettant un traitement « général » et « homogène » de nombreuses questions développées dans des cadres théoriques variés au xixe siècle et dont le problème principal est reconnu comme susceptible d’être résolu par deux théorèmes énoncés indépendamment par Jordan et Weierstrass. Cette controverse, suscitée par la rencontre de deux théorèmes que nous considérerions...

Linearization of regular matrix polynomials.

Lancaster, Peter (2008)

ELA. The Electronic Journal of Linear Algebra [electronic only]

Linearizations of polynomial matrices with symmetries and their applications.

Antoniou, E.N., Vologiannidis, S. (2006)

ELA. The Electronic Journal of Linear Algebra [electronic only]

Linearizations of singular matrix polynomials and the recovery of minimal indices.

De Terán, Fernando, Dopico, Froilán M., Mackey, D.Steven (2009)

ELA. The Electronic Journal of Linear Algebra [electronic only]

Low-rank iterative methods for projected generalized Lyapunov equations.

Stykel, Tatjana (2008)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

On a Generalized Linear Boundary Value Problem

Gr. Kalogeropoulos, I. G. Stratis (1992)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

On generalized inverses of singular matrix pencils

Klaus Röbenack, Kurt Reinschke (2011)

International Journal of Applied Mathematics and Computer Science

Linear time-invariant networks are modelled by linear differential-algebraic equations with constant coefficients. These equations can be represented by a matrix pencil. Many publications on this subject are restricted to regular matrix pencils. In particular, the influence of the Weierstrass structure of a regular pencil on the poles of its inverse is well known. In this paper we investigate singular matrix pencils. The relations between the Kronecker structure of a singular matrix pencil and the...

On reducing and deflating subspaces of matrices.

Monov, V., Tsatsomeros, M. (2004)

ELA. The Electronic Journal of Linear Algebra [electronic only]

On spectra of expansion graphs and matrix polynomials. II.

Förster, K.-H., Nagy, B. (2002)

ELA. The Electronic Journal of Linear Algebra [electronic only]

On the cover problems of geometric theory

Nicos Karcanias, Dimitris Vafiadis (1993)

Kybernetika

On the estimation of the $q$ -numerical range of monic matrix polynomials.

Psarrakos, Panayiotis J. (2004)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

On the finite Fourier transforms of functions with infinite discontinuities.

Saric, Branko (2002)

International Journal of Mathematics and Mathematical Sciences

On the problem $A x = λ B x$ in max algebra: every system of intervals is a spectrum

Sergeĭ Sergeev (2011)

Kybernetika

We consider the two-sided eigenproblem $A \otimes x = λ \otimes B \otimes x$ over max algebra. It is shown that any finite system of real intervals and points can be represented as spectrum of this eigenproblem.

On the Solution of sigma-alpha Regular Generalized Linear Systems

E. Grispos (1999)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

Pairs of matrices, one of which commutes with their commutator.

Bourgeois, Gerald (2011)

ELA. The Electronic Journal of Linear Algebra [electronic only]

Pointwise completeness and pointwise degeneracy of positive fractional descriptor continuous-time linear systems with regular pencils

Tadeusz Kaczorek (2015)

International Journal of Applied Mathematics and Computer Science

Pointwise completeness and pointwise degeneracy of positive fractional descriptor continuous-time linear systems with regular pencils are addressed. Conditions for pointwise completeness and pointwise degeneracy of the systems are established and illustrated by an example.

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