Computing matrix functions arising in engineering models with orthogonal matrix polynomials
暂无分享,去创建一个
[1] Ya Yan Lu,et al. Computing a Matrix Function for Exponential Integrators , 2003 .
[2] S. Serbin,et al. An Algorithm for Computing the Matrix Cosine , 1980 .
[3] R. Company,et al. Hermite matrix polynomials and second order matrix differential equations , 1996, Approximation Theory and its Applications.
[4] David Westreich,et al. A practical method for computing the exponential of a matrix and its integral , 1990 .
[5] Nicholas J. Higham,et al. A Schur-Parlett Algorithm for Computing Matrix Functions , 2003, SIAM J. Matrix Anal. Appl..
[6] Emilio Defez,et al. Efficient orthogonal matrix polynomial based method for computing matrix exponential , 2011, Appl. Math. Comput..
[7] Shing-Tung Yau,et al. Reducing the Symmetric Matrix Eigenvalue Problem to Matrix Multiplications , 1993, SIAM J. Sci. Comput..
[8] Emilio Defez,et al. Some applications of the Hermite matrix polynomials series expansions , 1998 .
[9] M. M. Tung,et al. Improvement on the bound of Hermite matrix polynomials , 2011 .
[10] Nicholas J. Higham,et al. The Scaling and Squaring Method for the Matrix Exponential Revisited , 2005, SIAM J. Matrix Anal. Appl..
[11] Nicholas J. Higham,et al. Functions of matrices - theory and computation , 2008 .
[12] S. Serbin. Rational approximations of trigonometric matrices with application to second-order systems of differential equations , 1979 .
[13] Nicholas J. Higham,et al. Computing the Matrix Cosine , 2004, Numerical Algorithms.
[14] L. Dieci,et al. Padé approximation for the exponential of a block triangular matrix , 2000 .
[15] R. Ward. Numerical Computation of the Matrix Exponential with Accuracy Estimate , 1977 .
[16] Emilio Defez,et al. Computing matrix functions solving coupled differential models , 2009, Math. Comput. Model..
[17] N. Higham. The Test Matrix Toolbox for MATLAB , 1993 .
[18] Larry J. Stockmeyer,et al. On the Number of Nonscalar Multiplications Necessary to Evaluate Polynomials , 1973, SIAM J. Comput..
[19] Timothy F. Havel,et al. Derivatives of the Matrix Exponential and Their Computation , 1995 .
[20] C. Loan,et al. Nineteen Dubious Ways to Compute the Exponential of a Matrix , 1978 .
[21] Nicholas J. Higham,et al. Efficient algorithms for the matrix cosine and sine , 2005, Numerical Algorithms.
[22] Jorge J. Moré,et al. Digital Object Identifier (DOI) 10.1007/s101070100263 , 2001 .
[23] Cleve B. Moler,et al. Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later , 1978, SIAM Rev..