Formal orthogonal polynomials revisited. Applications

1996 ◽  
Vol 11 (1) ◽  
pp. 143-158 ◽  
Author(s):  
André Draux
Keyword(s):  
Orthogonal Polynomials ◽  
Formal Orthogonal Polynomials

scholarly journals The Tensor Pade´-Type Approximant with Application in Computing Tensor Exponential Function

2018 ◽  
Vol 2018 ◽  
pp. 1-10
Author(s):  
Chuanqing Gu ◽  
Yong Liu
Keyword(s):  
Orthogonal Polynomials ◽  
Generating Function ◽  
Exponential Function ◽  
Efficient Algorithm ◽  
Linear Functional ◽  
Function Form ◽  
Numerical Examples ◽  
First Time ◽  
Formal Orthogonal Polynomials

Tensor exponential function is an important function that is widely used. In this paper, tensor Pade´-type approximant (TPTA) is defined by introducing a generalized linear functional for the first time. The expression of TPTA is provided with the generating function form. Moreover, by means of formal orthogonal polynomials, we propose an efficient algorithm for computing TPTA. As an application, the TPTA for computing the tensor exponential function is presented. Numerical examples are given to demonstrate the efficiency of the proposed algorithm.

The stable computation of formal orthogonal polynomials

1996 ◽  
Vol 11 (1) ◽  
pp. 1-23 ◽  
Author(s):  
Bernhard Beckermann
Keyword(s):  
Orthogonal Polynomials ◽  
Stable Computation ◽  
Formal Orthogonal Polynomials

scholarly journals Formal orthogonal polynomials and Hankel/Toeplitz duality

1995 ◽  
Vol 10 (2) ◽  
pp. 289-335 ◽  
Author(s):  
Adhemar Bultheel ◽  
Marc Van Barel
Keyword(s):  
Orthogonal Polynomials ◽  
Formal Orthogonal Polynomials

scholarly journals Matrix interpretation of formal orthogonal polynomials for non-definite functionals

1987 ◽  
Vol 18 (3) ◽  
pp. 265-277 ◽  
Author(s):  
M. Piñar ◽  
V. Ramírez
Keyword(s):  
Orthogonal Polynomials ◽  
Formal Orthogonal Polynomials
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