Convergence Theorems for Matrix Continued Fractions
β Scribed by Field, David A.
- Book ID
- 118199889
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1984
- Tongue
- English
- Weight
- 770 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0036-1410
- DOI
- 10.1137/0515097
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π SIMILAR VOLUMES
Generalizations of S leszyn ski Pringheim's convergence criteria for ordinary continued fractions are proved for noncommutative continued fractions in Banach spaces. Some of them are exact generalizations of the scalar results.
Pincherle theorems equate convergence of a continued fraction to existence of a recessive solution of the associated linear system. Matrix continued fractions have recently been used in the study of singular potentials in high energy physics. The matrix continued fractions and discrete Riccati equat
A matrix continued fraction is defined and used for the approximation of a function F known as a power series in 1Γz with matrix coefficients p\_q, or equivalently by a matrix of functions holomorphic at infinity. It is a generalization of P-fractions, and the sequence of convergents converges to th