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
Distortion operator method and Padé approximants
✍ Scribed by B Michalík
- Publisher
- Elsevier Science
- Year
- 1970
- Tongue
- English
- Weight
- 503 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0003-4916
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✦ Synopsis
The continuous fraction expression of a partial-wave matrix element following from the distortion operator method developed before is proved to be an s-fraction expansion of the matrix element. The proof is more general, it applies to an arbitrary matrix element of T or K operator. One of our formerly developed approximate schemes is thus proved to be equivalent to the stair-like sequence of Padt approximants; in this way, the Pad& method is generated by a sequence of transformations of the original integral equation and, thus, it is not only an algebraic method any more.
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