An integral representation of some hypergeometric functions.
Driver, K.A., Johnston, S.J. (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Cisneros-Molina, José Luis (2005)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Yuan, Yongxin (2009)
Mathematical Problems in Engineering
Zhao, Linlin, Chen, Guoliang (2010)
Mathematical Problems in Engineering
Konvalinka, Matjaz (2008)
The Electronic Journal of Combinatorics [electronic only]
Waldemar Hołubowski (2002)
Discussiones Mathematicae - General Algebra and Applications
In this note we explain why the group of n×n upper triangular matrices is defined usually over commutative ring while the full general linear group is defined over any associative ring.
Yuan, Yongxin (2008)
Mathematical Problems in Engineering
Antonín Vrba (1973)
Časopis pro pěstování matematiky
Peter Szabó (2013)
Kybernetika
The paper presents an iterative algorithm for computing the maximum cycle mean (or eigenvalue) of triangular Toeplitz matrix in max-plus algebra. The problem is solved by an iterative algorithm which is applied to special cycles. These cycles of triangular Toeplitz matrices are characterized by sub-partitions of .
Helena Myšková (2012)
Kybernetika
This paper is dealing with solvability of interval systems of linear equations in max-min algebra. Max-min algebra is the algebraic structure in which classical addition and multiplication are replaced by and , where . The notation represents an interval system of linear equations, where and are given interval matrix and interval vector, respectively. We can define several types of solvability of interval systems. In this paper, we define the T4 and T5 solvability and give necessary and...
Lakić, Slobodan (1995)
Serdica Mathematical Journal
In this paper we give an iterative method to compute the principal n-th root and the principal inverse n-th root of a given matrix. As we shall show this method is locally convergent. This method is analyzed and its numerical stability is investigated.
Ivar Ekeland (2005)
ESAIM: Control, Optimisation and Calculus of Variations
Given two measured spaces and , and a third space , given two functions and , we study the problem of finding two maps and such that the images and coincide, and the integral is maximal. We give condition on and for which there is a unique solution.
Ivar Ekeland (2010)
ESAIM: Control, Optimisation and Calculus of Variations
Given two measured spaces and , and a third space Z, given two functions u(x,z) and v(x,z), we study the problem of finding two maps and such that the images and coincide, and the integral is maximal. We give condition on u and v for which there is a unique solution.
Fritzsche, David, Mehrmann, Volker, Szyld, Daniel B., Virnik, Elena (2007)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Gianfranco Cimmino (1986)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Mediante integrali multipli agevoli per il calcolo numerico vengono espressi il valore assoluto di un determinante qualsiasi e le formule di Cramer.
Fuzhen Zhang (2016)
Special Matrices
We review and update on a few conjectures concerning matrix permanent that are easily stated, understood, and accessible to general math audience. They are: Soules permanent-on-top conjecture†, Lieb permanent dominance conjecture, Bapat and Sunder conjecture† on Hadamard product and diagonal entries, Chollet conjecture on Hadamard product, Marcus conjecture on permanent of permanents, and several other conjectures. Some of these conjectures are recently settled; some are still open.We also raise...
Gasper, Ortwin, Pfoertner, Hugo, Sigg, Markus (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Haukkanen, Pentti (2006)
Journal of Inequalities and Applications [electronic only]
Hong-Hai Li, Jiong-Sheng Li (2008)
Discussiones Mathematicae Graph Theory
In this paper, we established a connection between the Laplacian eigenvalues of a signed graph and those of a mixed graph, gave a new upper bound for the largest Laplacian eigenvalue of a signed graph and characterized the extremal graph whose largest Laplacian eigenvalue achieved the upper bound. In addition, an example showed that the upper bound is the best in known upper bounds for some cases.
Tadeusz Kaczorek (2015)
International Journal of Applied Mathematics and Computer Science
A method of analysis for a class of descriptor 2D discrete-time linear systems described by the Roesser model with a regular pencil is proposed. The method is based on the transformation of the model to a special form with the use of elementary row and column operations and on the application of a Drazin inverse of matrices to handle the model. The method is illustrated with a numerical example.