𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Padé method for computing the matrix exponential

✍ Scribed by M. Arioli; B. Codenotti; C. Fassino


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
959 KB
Volume
240
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


A practical method for computing the exp
✍ Westreich, David 📂 Article 📅 1990 🏛 Wiley (John Wiley & Sons) 🌐 English ⚖ 341 KB

A practical algorithm is described for the computation of the transition matrix and its integral of a timeinvariant state-space system. It is based on the partial Taylor expansion of the matrices, and methods for reducing computations and increasing accuracy are given.

On Polynomials Related with Hermite–Padé
✍ Kathy A. Driver; Nico M. Temme 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 445 KB

We investigate the polynomials P n , Q m , and R s , having degrees n, m, and s, respectively, with P n monic, that solve the approximation problem We give a connection between the coefficients of each of the polynomials P n , Q m , and R s and certain hypergeometric functions, which leads to a sim

Shift-invert Lanczos method for the symm
✍ Hong-Kui Pang; Hai-Wei Sun 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 128 KB

The Lanczos method with shift-invert technique is exploited to approximate the symmetric positive semidefinite Toeplitz matrix exponential. The complexity is lowered by the Gohberg-Semencul formula and the fast Fourier transform. Application to the numerical solution of an integral equation is studi