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Searching for "On the Minimal Polynomial of a Matrix." – sorted by Relevance.

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23 documents found, showing 1 through 10. Next 10 →

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Comm. Algebra 32(5) (2004) 2015-2017
by Integrally Closed Domains, Sophie Frisch
… domain D occurs as a coefficient of the minimal polynomial of a matrix with entries in D. This answers…
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How to Test for Diagonalizability: The Discretized PT-Invariant Square-Well Potential
by Stefan Weigert — 2008
… to determine the minimal polynomial of a matrix without going through its characteristic polynomial…
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An O(n³) Algorithm for Frobenius Normal Form
by Arne Storjohann — 1997 — In Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation
… the minimal polynomial of a matrix and testing two matrices for similarity. Assuming standard matrix…
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LINBOX LIBRARY
by William Jonathan, Black Box, Linear Algebra, Linbox Library, William J. Turner, Erich Kaltofen, Hoon Hong, Carl D. Meyer, B. David, Saunders Ralph, C. Smith To — 2002
… that the minimal polynomial of a matrix generates the Krylov sequences of the matrix and their projections…
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On the computation of minimal polynomials, cyclic vectors, and Frobenius forms
by Daniel Augot, Paul Camion — 1997 — Linear Algebra and its Applications
… the minimal polynomial and all characteristic subspaces of a matrix of size n. Furthermore an iterative…
Cited by 5 (0 self) – Add To MetaCart

Nearly Optimal Algorithms For Canonical Matrix Forms
by Mark Giesbrecht — 1993
… the minimal and characteristic polynomials of a matrix, the rational Jordan form of a matrix, for testing…
Cited by 49 (10 self) – Add To MetaCart

INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF PHYSICS A: MATHEMATICAL AND GENERAL
by Stefan Weigert — 2005
… which consists of constructing the minimal polynomial of the matrix followed by a search for degenerate…
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Efficient Decomposition of Separable Algebras
by W. Eberly, M. Giesbrecht — 1999
… 2 = elements. Given a matrix 2 F mm whose minimal polynomial is separable over F, a Las Vegas…
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Vice Provost for Academic and International Programs
by Zhendong Wan, Zhendong Wan, Henry R. Glyde, Ph. D, Ph. D, Conrado M. Gempesaw Ii, Ph. D, Erich Kaltofen Ph. D, Qing Xiang Ph. D — 2005
… such as determining the rank of a matrix, computing the minimal and characteristic polynomials of a matrix…
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Computing Simplicial Homology Based on Efficient Smith Normal Form Algorithms
by Jean-Guillaume Dumas, Frank Heckenbach, David Saunders, Volkmar Welker — 2002
…. The minimal valence or simply the valence of a matrix A is the valence of its minimal polynomial, minpoly A…
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