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On an accurate method to compute the matrix logarithm
E. Defez
[1]
;
J. J. Ibáñez
[1]
;
J. M. Alonso
[1]
;
J.R. Herráiz
[1]
[1]
Universidad Politécnica de Valencia
Universidad Politécnica de Valencia
Valencia,
España
Localización:
Mathematical Modelling in Engineering & Human Behaviour
:
MME&HB2022
/
coord.
por
Juan Ramón Torregrosa Sánchez
,
Juan Carlos Cortés López
,
Antonio Hervas Jorge
, A. Vidal Ferràndiz
, Elena López Navarro, 2022,
ISBN
978-84-09-47037-2,
págs.
76-84
Idioma:
inglés
Enlaces
Texto Completo Libro (
html
)
Referencias bibliográficas
Higham, N. J., Functions of Matrices: Theory and Computation. Philadelphia, PA, USA, Society for Industrial and Applied Mathematics, 2008.
Miyajima, S., Verified computation for the matrix principal logarithm Linear Algebra and its Applications, 569:38–61, 2019.
Ossikovski, R., De Martino, A., Differential Mueller matrix of a depolarizing homogeneous medium and its relation to the Mueller matrix logarithm,...
Ramézani, H., Jeong, J., Non-linear elastic micro-dilatation theory: Matrix exponential function paradigm, International Journal of Solids...
Jafari, A., Fi´etier, N., Deville, M. O., A new extended matrix logarithm formulation for the simulation of viscoelastic fluids by spectral...
Lastman, G., Sinha, N., Infinite series for logarithm of matrix, applied to identification of linear continuous-time multivariable systems...
Williams, P. M., Matrix logarithm parametrizations for neural network covariance models, Neural Net-works, 12 (2): 299–308, 1999.
Philip, L., Wang, X., Zhu, Y., High dimensional covariance matrix estimation by penalizing the matrix-logarithm transformed likelihood, Computational...
Al-Mohy, A. H., Higham, N. J., Improved inverse scaling and squaring algorithms for the matrix logarithm, SIAM Journal on Scientific Computing,...
Cardoso, J. R., Ralha, R., Matrix arithmetic-geometric mean and the computation of the logarithm, SIAM Journal on Matrix Analysis and Applications...
Horenko, I., Schütte, C., Likelihood-based estimation of multidimensional Langevin models and its application to biomolecular dynamics, Multiscale...
Kenney, C. S., Laub, A. J., A Schur–Fr´echet algorithm for computing the logarithm and exponential of a matrix, SIAM Journal on Matrix Analysis...
Cardoso, J. R., Leite, F. S., Theoretical and numerical considerations about Pad´e approximants for the matrix logarithm, Linear Algebra and...
Dieci, L., Papini, A., Conditioning and Pad´e approximation of the logarithm of a matrix, SIAM Journal on Matrix Analysis and Applications,...
Cheng, S. H., Higham, N. J., Kenney, C. S., Laub, A. J., Approximating the logarithm of a matrix to specified accuracy, SIAM Journal on Matrix...
Fasi, M., Higham, N. J., Multiprecision algorithms for computing the matrix logarithm, SIAM Journal on Matrix Analysis and Applications, 39...
Fasi, M., Iannazzo, B., The dual inverse scaling and squaring algorithm for the matrix logarithm, IMA Journal of Numerical Analysis, 42 (3):...
Ibáñez, J., Sastre, J., Ruiz, P., Alonso, J. M., Defez, E., An improved Taylor algorithm for computing the matrix logarithm, Mathematics 9...
Dieci, L., Morini, B., Papini, A., Computational techniques for real logarithms of matrices, SIAM Journal on Matrix Analysis and Applications,...
Tatsuoka, F., Sogabe, T., Miyatake, Y., Zhang, S.-L., Algorithms for the computation of the matrix logarithm based on the double exponential...
Kenney, C., Laub, A. J., Condition estimates for matrix functions, SIAM Journal on Matrix Analysis and Applications, 10 (2):191–209, 1989.
Higham, N. J., The Matrix Computation Toolbox (2002) URL:https://www.maths.manchester.ac.uk/∼higham/mctoolbox/
T. G. Wright, Eigtool, version 2.1 (2009). web.comlab.ox.ac.uk/pseudospectra/eigtool
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