scholarly journals The computation of the degree of the greatest common divisor of three Bernstein basis polynomials

2020 ◽  
Vol 373 ◽  
pp. 112373
Author(s):  
Martin Bourne ◽  
Joab R. Winkler ◽  
Yi Su
Keyword(s):  
Greatest Common Divisor ◽  
Bernstein Basis

Normalization Bernstein Basis For Solving Fractional Fredholm-Integro Differential Equation

2018 ◽  
pp. 491
Author(s):  
Abdul Khaleq O. Al-Jubory ◽  
Shaymaa Hussain Salih
Keyword(s):  
Differential Equation ◽  
Approximate Solution ◽  
Linear System ◽  
Differential Equations ◽  
Bernstein Basis ◽  
Traditional Methods ◽  
Integro Differential Equation

In this work, we employ a new normalization Bernstein basis for solving linear Freadholm of fractional integro-differential equations  nonhomogeneous  of the second type (LFFIDEs). We adopt Petrov-Galerkian method (PGM) to approximate solution of the (LFFIDEs) via normalization Bernstein basis that yields linear system. Some examples are given and their results are shown in tables and figures, the Petrov-Galerkian method (PGM) is very effective and convenient and overcome the difficulty of traditional methods. We solve this problem (LFFIDEs) by the assistance of Matlab10.   

Greatest common divisor of matrices one of which is a disappear matrix

2014 ◽  
Vol 66 (3) ◽  
pp. 479-485 ◽  
Author(s):  
A. M. Romaniv ◽  
V. P. Shchedryk
Keyword(s):  
Greatest Common Divisor

scholarly journals On the optimal stability of the Bernstein basis

1996 ◽  
Vol 65 (216) ◽  
pp. 1553-1567 ◽  
Author(s):  
R. T. Farouki ◽  
T. N. T. Goodman
Keyword(s):  
Bernstein Basis ◽  
Optimal Stability
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