scholarly journals Bounds on strong unicity for Chebyshev approximation with bounded coefficients

2021 ◽  
Author(s):  
Andrei Sipoş
Keyword(s):  
Chebyshev Approximation ◽  
Strong Unicity

Chebyshev approximation to data by geometric elements

1993 ◽  
Vol 5 (10) ◽  
pp. 509-522 ◽  
Author(s):  
Rudolf Drieschner
Keyword(s):  
Chebyshev Approximation ◽  
Geometric Elements

Algorithm for Spatial Straightness Evaluation Using Theories of Linear Complex Chebyshev Approximation and Semi-infinite Linear Programming

2005 ◽  
Vol 128 (1) ◽  
pp. 167-174 ◽  
Author(s):  
LiMin Zhu ◽  
Ye Ding ◽  
Han Ding
Keyword(s):  
Linear Programming ◽  
Chebyshev Approximation ◽  
Approximation Problem ◽  
Linear Complex ◽  
Infinite Linear Programming ◽  
Minimum Zone ◽  
Effectiveness And Efficiency ◽  
Primal And Dual ◽  
Straightness Error ◽  
Infinite Linear

This paper presents a novel methodology for evaluating spatial straightness error based on the minimum zone criterion. Spatial straightness evaluation is formulated as a linear complex Chebyshev approximation problem, and then reformulated as a semi-infinite linear programming problem. Both models for the primal and dual programs are developed. An efficient simplex-based algorithm is employed to solve the dual linear program to yield the straightness value. Also a general algebraic criterion for checking the optimality of the solution is proposed. Numerical experiments are given to verify the effectiveness and efficiency of the presented algorithm.

scholarly journals Chebyshev approximation by interpolating rationals

1984 ◽  
Vol 40 (4) ◽  
pp. 310-312
Author(s):  
Charles B Dunham
Keyword(s):  
Chebyshev Approximation
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