We obtain, for entire functions of exponential type, a complementary result and a generalization of a quadrature formula with nodes at the zeros of Bessel functions. Our formula contains a sequence of rational fractions whose properties are studied.
Explicit formulas for the exponentials of some special matrices
β Scribed by Beibei Wu
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 206 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
The matrix exponential plays a very important role in many fields of mathematics and physics. It can be computed by many methods. This work is devoted to the study of some explicit formulas for computing e A , where A is a special square matrix. The main results are based on the convergent power series of e A . Examples and applications are given.
π SIMILAR VOLUMES
In this paper, we present certain general formulae for the stability function of explicit advanced step-point (EAS) methods [1,2]. The stability function of EAS methods is quite complicated and appropriate general formulae will facilitate stability analysis and further computational manipulation of