On theoretical and practical acceleration of randomized computation of the determinant of an integer matrix.
Pan, V.Y. (2004)
Zapiski Nauchnykh Seminarov POMI
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Pan, V.Y. (2004)
Zapiski Nauchnykh Seminarov POMI
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Jitka Machalová (2000)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Ladislav Halada (1984)
Banach Center Publications
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Jan Spousta (1992)
Kybernetika
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Popoviciu, Ioan (2003)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Francisco Pedroche, Miguel Rebollo, Carlos Carrascosa, Alberto Palomares (2016)
Czechoslovak Mathematical Journal
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In this paper we present some theoretical results about the irreducibility of the Laplacian matrix ordered by the Reverse Cuthill-McKee (RCM) algorithm. We consider undirected graphs with no loops consisting of some connected components. RCM is a well-known scheme for numbering the nodes of a network in such a way that the corresponding adjacency matrix has a narrow bandwidth. Inspired by some properties of the eigenvectors of a Laplacian matrix, we derive some properties based on row...
Al'pin, Yu.A., Ilyin, S.N. (2005)
Zapiski Nauchnykh Seminarov POMI
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Branislav Martić (1984)
Publications de l'Institut Mathématique
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