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Maximal solutions of two–sided linear systems in max–min algebra

Pavel Krbálek, Alena Pozdílková (2010)

Kybernetika

Max-min algebra and its various aspects have been intensively studied by many authors [1, 4] because of its applicability to various areas, such as fuzzy system, knowledge management and others. Binary operations of addition and multiplication of real numbers used in classical linear algebra are replaced in max-min algebra by operations of maximum and minimum. We consider two-sided systems of max-min linear equations $A \otimes x = B \otimes x$ , with given coefficient matrices $A$ and $B$ . We present a polynomial method for...

Maximale Permanenten von $(1, - 1)$ -Matrizen mit beliebigem Rang.

Kräuter, Arnold Richard (1988)

Séminaire Lotharingien de Combinatoire [electronic only]

Maximising the permanent of $(0, 1)$ -matrices and the number of extensions of Latin rectangles.

Mckay, B.D., Wanless, I.M. (1998)

The Electronic Journal of Combinatorics [electronic only]

Maximization for inner products under quasi-monotone constraints.

Berenhaut, Kenneth S., Foley, John D., Bandyopadhyay, Dipankar (2006)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Maximizing Spectral Radii of Uniform Hypergraphs with Few Edges

Yi-Zheng Fan, Ying-Ying Tan, Xi-Xi Peng, An-Hong Liu (2016)

Discussiones Mathematicae Graph Theory

In this paper we investigate the hypergraphs whose spectral radii attain the maximum among all uniform hypergraphs with given number of edges. In particular we characterize the hypergraph(s) with maximum spectral radius over all unicyclic hypergraphs, linear or power unicyclic hypergraphs with given girth, linear or power bicyclic hypergraphs, respectively.

Maximizing the determinant for a special class of block-partitioned matrices.

Popescu, Otilia, Rose, Christopher, Popescu, Dimitrie C. (2004)

Mathematical Problems in Engineering

Maximum exponent of Boolean circulant matrices with constant number of nonzero entries in their generating vector.

Bueno, M.I., Furtado, S., Sherer, N. (2009)

The Electronic Journal of Combinatorics [electronic only]

Maximum rank of a power of a matrix of a given pattern

Svatopluk Poljak (1988)

Commentationes Mathematicae Universitatis Carolinae

Max-min interval systems of linear equations with bounded solution

Helena Myšková (2012)

Kybernetika

Max-min algebra is an algebraic structure in which classical addition and multiplication are replaced by $\oplus$ and $\otimes$ , where $a \oplus b = max {a, b}, a \otimes b = min {a, b}$ . The notation $𝐀 \otimes 𝐱 = 𝐛$ represents an interval system of linear equations, where $𝐀 = [\underset{̲}{A}, \bar{A}]$ , $𝐛 = [\underset{̲}{b}, \bar{b}]$ are given interval matrix and interval vector, respectively, and a solution is from a given interval vector $𝐱 = [\underset{̲}{x}, \bar{x}]$ . We define six types of solvability of max-min interval systems with bounded solution and give necessary and sufficient conditions for them.

Means of positive matrices: geometry and a conjecture.

Petz, Dénes (2005)

Annales Mathematicae et Informaticae

Meixner-type results for Riordan arrays and associated integer sequences.

Barry, Paul, Hennessy, Aoife (2010)

Journal of Integer Sequences [electronic only]

Merging of states of Markov chains with infinite probability rates

Petr Kůrka (1979)

Commentationes Mathematicae Universitatis Carolinae

Méthode directe pour calculer la somme des puissances $α$ des $n$ premiers nombres entiers

Georges Dostor (1879)

Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale

Méthode directe pour calculer la somme des puissances $α$ des $n$ premiers nombres entiers

Georges Dostor (1879)

Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale

Methods for solving some parameter problems of algebra.

Khazanov, V.B. (2005)

Zapiski Nauchnykh Seminarov POMI

Métodos para la actualización de los factores de Q y R de una matriz.

Laureano F. Escudero (1984)

Trabajos de Estadística e Investigación Operativa

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.

Currently displaying 1381 – 1400 of 3024

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Displaying 1381 – 1400 of 3024

Maximal solutions of two–sided linear systems in max–min algebra

Maximale Permanenten von $(1, - 1)$ -Matrizen mit beliebigem Rang.

Maximising the permanent of $(0, 1)$ -matrices and the number of extensions of Latin rectangles.

Maximization for inner products under quasi-monotone constraints.

Maximizing Spectral Radii of Uniform Hypergraphs with Few Edges

Maximizing the determinant for a special class of block-partitioned matrices.

Maximum exponent of Boolean circulant matrices with constant number of nonzero entries in their generating vector.

Maximum rank of a power of a matrix of a given pattern

Max-min interval systems of linear equations with bounded solution

Means of positive matrices: geometry and a conjecture.

Meixner-type results for Riordan arrays and associated integer sequences.

Merging of states of Markov chains with infinite probability rates

Méthode directe pour calculer la somme des puissances $α$ des $n$ premiers nombres entiers

Méthode directe pour calculer la somme des puissances $α$ des $n$ premiers nombres entiers

Methods for solving some parameter problems of algebra.

Métodos para la actualización de los factores de Q y R de una matriz.

Metric spaces in pure and applied mathematics.

Metrische G-Moduln über Körpern der Charakteristik 2.

Minima of Vector Quadratic Forms with Applications to Statistics

Minimal $c p$ rank.

Currently displaying 1381 – 1400 of 3024