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Arbitrary real power of a matrix by Schur-Pade algorithm 1.0

  Date Added: March 31, 2013  |  Visits: 244

Arbitrary real power of a matrix by Schur-Pade algorithm

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X = POWERM_PADE(A,P) computes the P'th power X of the matrix A, for arbitrary real P and A with no nonpositive real eigenvalues, by the Schur-Pade algorithm. [X,NSQ,M] = POWERM_PADE(A, P) returns the number NSQ of matrix square roots computed and the degree M of the Pade approximant used.If A is singular or has any eigenvalues on the negative real axis, a warning message is printed.Function TEST.M runs a simple test of the codes.Details on the underlying algorithms can be found inN. J. Higham and L. Lin. A Schur--Pade algorithm for fractional powers of a matrix. MIMS EPrint 2010.91, Manchester Institute for Mathematical Sciences, The University of Manchester, UK, Oct. 2010; revised Feb. 2011.http://eprints.ma.man.ac.uk/1589/

Requirements: No special requirements
Platforms: Matlab
Keyword: Algorithms Codes Details Found Function Higham Printed Simple Testm Underlying
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License: Shareware Size: 10 KB
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