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Relationship of certain rings of infinite matrices over integers

Mario Petrich, Pedro V. Silva (2000)

Bollettino dell'Unione Matematica Italiana

Sia N l'insieme degli interi non negativi e Z l'anello degli interi. Sia A l'anello delle matrici N × N su Z che hanno solo un numero finito di cifre non nulle in ogni linea ed in ogni colonna. Sia B il sottoanello generato da X e Y , dove X (rispettivamente Y ) è ottenuto dalla matrice identità muovendo gli 1 una posizione a destra (rispettivamente in giù). Sia pure C il sottoanello di A generato da 1 - X e 1 - Y . Infine sia F il sottoanello delle matrici di A che hanno solo un numero finito di cifre non nulle....

Remark on inequalities for the Laplacian spread of graphs

Igor Milovanović, Emina Milovanović (2014)

Czechoslovak Mathematical Journal

Two inequalities for the Laplacian spread of graphs are proved in this note. These inequalities are reverse to those obtained by Z. You, B. Liu: The Laplacian spread of graphs, Czech. Math. J. 62 (2012), 155–168.

Remark on properties of bases for additive logratio transformations of compositional data

Karel Hron (2008)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

The statistical analysis of compositional data, multivariate data when all its components are strictly positive real numbers that carry only relative information and having a simplex as the sample space, is in the state-of-the-art devoted to represent compositions in orthonormal bases with respect to the geometry on the simplex and thus provide an isometric transformation of the data to an usual linear space, where standard statistical methods can be used (e.g. [2], [4], [5], [9]). However, in some...

Remarks on inverse of matrix polynomials

Fischer, Cyril, Náprstek, Jiří (2017)

Programs and Algorithms of Numerical Mathematics

Analysis of a non-classically damped engineering structure, which is subjected to an external excitation, leads to the solution of a system of second order ordinary differential equations. Although there exists a large variety of powerful numerical methods to accomplish this task, in some cases it is convenient to formulate the explicit inversion of the respective quadratic fundamental system. The presented contribution uses and extends concepts in matrix polynomial theory and proposes an implementation...

Representación finita de sistemas de infinitas inecuaciones.

Miguel Angel Goberna Torrent, Marco A. López Cerdá, Jesús T. Pastor Ciurana (1982)

Trabajos de Estadística e Investigación Operativa

Dado un Problema de Programación Semi-Infinita, si se puede obtener una representación finita del conjunto factible, pueden aplicarse para resolver el problema los métodos de programación con restricciones finitas.En la primera parte se caracterizan los sistemas lineales infinitos que pueden ser reducidos a un sistema finito equivalente, dándose además condiciones suficientes y métodos para efectuar tal reducción. En la segunda parte se establecen diferentes procedimientos de obtención de la representación...

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