REFERENCES
- A.H. Al-Mohy and N.J. Higham, A new scaling and squaring algorithm for the matrix exponential, SIAM J. Matrix Anal. Appl. 31(3) (2009), pp. 970–989. doi: 10.1137/09074721X
- M. Arioli, B. Codenotti, and C. Fassino, The Padé method for computing the matrix exponential, Linear Algebra Appl. 240 (1996), pp. 111–130. doi: 10.1016/0024-3795(94)00190-1
- S. Blackford and J. Dongarra, Installation guide for LAPACK, LAPACK Working Note 411, Department of Computer Science, University of Tenessee, 1999.
- L. Dieci and A. Papini, Padé approximation for the exponential of a block triangular matrix, Linear Algebra Appl. 308 (2000), pp. 183–202. doi: 10.1016/S0024-3795(00)00042-2
- L. Dieci and A. Papini, Conditioning of the exponential of a block triangular matrix, Numer. Algorithms 28 (2001), pp. 137–150. doi: 10.1023/A:1014071202885
- E.D. Dolan and J.J. Moré, Benchmarking optimization software with performance profiles, Math. Program. 91 (2002), pp. 201–213. doi: 10.1007/s101070100263
- C. Fassino, Computation of matrix functions, Ph.D. thesis TD-7/93, Università di Pisa, Genova, 1993.
- N.J. Higham, The Matrix Computation Toolbox. Available at http://www.ma.man.ac.uk/higham/mctoolbox.
- N.J. Higham, Accuracy and Stability of Numerical Algorithms, 2nd ed., SIAM, Philadelphia, PA, 2002.
- N.J. Higham, The scaling and squaring method for the matrix exponential revisited, SIAM J. Matrix Anal. Appl. 26(4) (2005), pp. 1179–1193. doi: 10.1137/04061101X
- N.J. Higham, Functions of Matrices: Theory and Computation, SIAM, Philadelphia, PA, 2008.
- N.J. Higham and F. Tisseur, A block algorithm for matrix 1-norm estimation, with an application to 1-norm pseudospectra, SIAM J. Matrix Anal. Appl. 21 (2000), pp. 1185–1201. doi: 10.1137/S0895479899356080
- C.B. Moler and C.V. Loan, Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later, SIAM Rev. 45 (2003), pp. 3–49. doi: 10.1137/S00361445024180
- M.S. Paterson and L.J. Stockmeyer, On the number of nonscalar multiplications necessary to evaluate polynomials, SIAM J. Comput. 2(1) (1973), pp. 60–66. doi: 10.1137/0202007
- J. Sastre, J. Ibáñez, E. Defez, and P. Ruiz, Accurate matrix exponential computation to solve coupled differential models in engineering, Math. Comput. Model. 54 (2011), pp. 1835–1840. doi: 10.1016/j.mcm.2010.12.049