๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Functions of Matrices (Theory and Computation) || 10. Matrix Exponential

โœ Scribed by Higham, Nicholas J.


Book ID
118055463
Publisher
Society for Industrial and Applied Mathematics
Year
2008
Weight
431 KB
Category
Article
ISBN
0898717779

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Functions of a matrix and Krylov matrice
โœ Hongguo Xu ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 247 KB

For a given nonderogatory matrix A, formulas are given for functions of A in terms of Krylov matrices of A. Relations between the coefficients of a polynomial of A and the generating vector of a Krylov matrix of A are provided. With the formulas, linear transformations between Krylov matrices and fu

Efficient computation of the exponential
โœ Luca Bergamaschi; Marco Vianello ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 261 KB ๐Ÿ‘ 2 views

In this paper we compare Krylov subspace methods with Chebyshev series expansion for approximating the matrix exponential operator on large, sparse, symmetric matrices. Experimental results upon negative-definite matrices with very large size, arising from (2D and 3D) FE and FD spatial discretizatio