On non-diagonal Padé approximants
✍ Scribed by D.S Lubinsky
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 1003 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
Let m be a fixed positive integer. We consider Hermite Pade approximants to the exponential function where the degree of the polynomials A p , 0 p m, is less than n. As n Ä , exact asymptotics for the A p 's and the remainder term R, along with an upper bound on the zeros of the polynomials A p , a
Several basic techniques are described for computing Pad~ approximants which are not normal. These techniques are modifications of some known methods for the computation of normal Pad6 approximants.
The aim of this paper is to define vector Pade -type approximants and vector Pade approximants following the same ideas as in the scalar case. This approach will be possible using Clifford's algebra structures. Vector Pade approximants will be derived from the theory of formal vector orthogonal poly