This paper deals with Hermite matrix polynomials expansions of some relevant matrix functions appearing in the solution of differential systems. Properties of Hermite matrix polynomials such as the three terms recurrence formula permit an efficient computation of matrix functions avoiding important
Laguerre matrix polynomial series expansion: Theory and computer applications
✍ Scribed by J. Sastre; E. Defez; L. Jódar
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 903 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0895-7177
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## Abstract A method of calculation of the correlation energy is proposed, which includes the superposition of configurations and the two particle approach. This method is based on the density matrix formalism. The approximate, but __N__‐representable expressions for the reduced density matrices ar
We consider asymptotics for orthogonal polynomials with respect to varying exponential weights w n (x)dx = e -nV (x) dx on the line as n → ∞. The potentials V are assumed to be real analytic, with sufficient growth at infinity. The principle results concern Plancherel-Rotach-type asymptotics for the