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
โฆ LIBER โฆ
A Uniform Twin Parabola Convergence Theorem for Continued Fractions
โ Scribed by L.J. Lange
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 363 KB
- Volume
- 188
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A Pincherle Theorem for Matrix Continued
โ
Calvin D. Ahlbrandt
๐
Article
๐
1996
๐
Elsevier Science
๐
English
โ 274 KB
Convergence Theorems for Continued Fract
โ
Andreas Schelling
๐
Article
๐
1996
๐
Elsevier Science
๐
English
โ 390 KB
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.
Optimal Error Bounds for Convergents of
โ
Yair Shapira; Avram Sidi; Moshe Israeli
๐
Article
๐
1996
๐
Elsevier Science
๐
English
โ 134 KB
Let F F be the family of continued fractions K a r1 , where a s yg , a s g x , ps2, 3, . . . , with 0 F g F 1, g fixed, and x F 1, p s py 1 p p p p p 2, 3, . . . . In this work, we derive upper bounds on the errors in the convergents of ลฝ . K a r1 that are uniform for F F, and optimal in the sense