scholarly journals On real-analytic recurrence relations for cardinal exponential B-splines

2007 ◽  
Vol 145 (2) ◽  
pp. 253-265 ◽  
Author(s):  
J.M. Aldaz ◽  
O. Kounchev ◽  
H. Render
Keyword(s):  
Recurrence Relations ◽  
B Splines ◽  
Real Analytic

Recurrence Relations for Multivariate B-Splines.

1981 ◽  
Author(s):  
Carl DE Boor ◽  
Klaus Hoellig
Keyword(s):  
Recurrence Relations ◽  
B Splines

Recurrence relations for Tchebycheffian B-splines

1988 ◽  
Vol 51 (1) ◽  
pp. 118-138 ◽  
Author(s):  
Nira Dyn ◽  
Amos Ron
Keyword(s):  
Recurrence Relations ◽  
B Splines

Clifford algebras and vector-valued rational forms. I

1990 ◽  
Vol 431 (1882) ◽  
pp. 285-300 ◽  
Keyword(s):  
Continued Fractions ◽  
Clifford Algebras ◽  
Recurrence Relations ◽  
Generalized Inverse ◽  
Multiplicative Group ◽  
Group Inverse ◽  
Scalar Theory ◽  
Real Analytic ◽  
Usual Scalar ◽  
Vector Valued

We demonstrate how Clifford algebras offer a framework for the construction of vector-valued rational forms possessing features of the usual scalar theory, including three-term recurrence relations for continued fractions. The price for this advantage is that the Moore–Penrose generalized inverse is replaced by the multiplicative group inverse of a Clifford algebra. However, the connection between the new vector-valued rational forms and generalized inverse rational forms is a close one; in fact, the two forms are identical for real analytic data.

Recurrence Relations for Multivariate B-Splines

1982 ◽  
Vol 85 (3) ◽  
pp. 397 ◽  
Author(s):  
Carl De Boor ◽  
Klaus Hollig
Keyword(s):  
Recurrence Relations ◽  
B Splines

B-splines via recurrence relations

CALCOLO ◽  
1989 ◽  
Vol 26 (2-4) ◽  
pp. 289-302 ◽  
Author(s):  
G. Casciola
Keyword(s):  
Recurrence Relations ◽  
B Splines
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