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Matrix functions 3 Derivatives of matrix functions 1 Euler characteristic 1 Excursion sets 1 Exponential integrators 1 Hamiltonian matrices 1 Krylov subspace methods 1 Matrix pth root function 1 Multiple right-hand sides 1 Multivariate random fields 1 QR decomposition 1 Skew-symmetric matrices 1 Stochastic matrices 1
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Carbonell, F. 1 Del Buono, N. 1 Galan, L. 1 Hochbruck, Marlis 1 Lopez, L. 1 Niehoff, Jörg 1 Politi, T. 1 Politi, Tiziano 1 Popolizio, Marina 1 Worsley, K. 1
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Mathematics and Computers in Simulation (MATCOM) 3 Annals of the Institute of Statistical Mathematics 1
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On stochasticity preserving methods for the computation of the matrix pth root
Politi, Tiziano; Popolizio, Marina - In: Mathematics and Computers in Simulation (MATCOM) 110 (2015) C, pp. 53-68
In this paper we consider the numerical computation of the matrix pth root of stochastic matrices. In particular a collection of theoretical results concerning the pth root of stochastic matrices is reported and some numerical methods are described. The aim of the paper is to highlight the...
Persistent link: https://www.econbiz.de/10011264177
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The geometry of the Wilks’s Λ random field
Carbonell, F.; Worsley, K.; Galan, L. - In: Annals of the Institute of Statistical Mathematics 63 (2011) 1, pp. 1-27
Persistent link: https://www.econbiz.de/10008925556
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Approximation of matrix operators applied to multiple vectors
Hochbruck, Marlis; Niehoff, Jörg - In: Mathematics and Computers in Simulation (MATCOM) 79 (2008) 4, pp. 1270-1283
In this paper we propose a numerical method for approximating the product of a matrix function with multiple vectors by Krylov subspace methods combined with a QR decomposition of these vectors. This problem arises in the implementation of exponential integrators for semilinear parabolic...
Persistent link: https://www.econbiz.de/10011051231
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Computation of functions of Hamiltonian and skew-symmetric matrices
Del Buono, N.; Lopez, L.; Politi, T. - In: Mathematics and Computers in Simulation (MATCOM) 79 (2008) 4, pp. 1284-1297
In this paper we consider numerical methods for computing functions of matrices being Hamiltonian and skew-symmetric. Analytic functions of this kind of matrices (i.e., exponential and rational functions) appear in the numerical solutions of ortho-symplectic matrix differential systems when...
Persistent link: https://www.econbiz.de/10010748935
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