A METHOD FOR EVALUATION OF BEST CHEBYSHEV-APPROXIMATION FOR SQUARE ROOT FUNCTION

被引:0
作者
HOLZWARTH, A
机构
[1] Mathematisches Institut der Universität Tübingen, Tübingen, D-7400
[2] Nürnberger Lebensversicherung AG, Nürnberg, D-8500
关键词
D O I
10.1007/BF02234764
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
A method is presented for the evaluation of the best rational Chebyshev-approximation for the square root function. The basis of the method is a modification of Heron's algorithm and a generalisation of the alternating properties. Errorbounds are also given. © 1969 Springer-Verlag.
引用
收藏
页码:168 / +
页数:1
相关论文
共 50 条
[31]   A CHEBYSHEV-APPROXIMATION FOR SOLVING OPTIMAL-CONTROL PROBLEMS [J].
ELGINDY, TM ;
ELHAWARY, HM ;
SALIM, MS ;
ELKADY, M .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1995, 29 (06) :35-45
[32]   CHEBYSHEV-APPROXIMATION OF A POINT SET BY A STRAIGHT-LINE [J].
STRENG, M ;
WETTERLING, W .
CONSTRUCTIVE APPROXIMATION, 1994, 10 (02) :187-196
[33]   NONLINEAR CHEBYSHEV-APPROXIMATION WITH VARYING FUNCTIONS, DOMAINS AND CONSTRAINTS [J].
ZHU, CZ ;
DUNHAM, CB .
UTILITAS MATHEMATICA, 1991, 40 :155-160
[35]   LINEAR CHEBYSHEV-APPROXIMATION IN COMPLEX PLANE USING LAWSONS ALGORITHM [J].
ELLACOTT, S ;
WILLIAMS, J .
MATHEMATICS OF COMPUTATION, 1976, 30 (133) :35-44
[36]   ON BERNSTEIN TYPE INEQUALITIES AND A WEIGHTED CHEBYSHEV-APPROXIMATION PROBLEM ON ELLIPSES [J].
FREUND, R .
LECTURE NOTES IN MATHEMATICS, 1990, 1435 :45-55
[37]   STRICT CHEBYSHEV-APPROXIMATION FOR GENERAL SYSTEMS OF LINEAR-EQUATIONS [J].
THIRAN, JP ;
THIRY, S .
NUMERISCHE MATHEMATIK, 1987, 51 (06) :701-725
[38]   OPTIMALITY AND UNIQUENESS CONDITIONS IN COMPLEX RATIONAL CHEBYSHEV-APPROXIMATION WITH EXAMPLES [J].
THIRAN, JP ;
ISTACE, MP .
CONSTRUCTIVE APPROXIMATION, 1993, 9 (01) :83-103
[39]   CREST-FACTOR MINIMIZATION USING NONLINEAR CHEBYSHEV-APPROXIMATION METHODS [J].
GUILLAUME, P ;
SCHOUKENS, J ;
PINTELON, R ;
KOLLAR, I .
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, 1991, 40 (06) :982-989
[40]   BEST APPROXIMATION WITH CHEBYSHEV POLYNOMIALS [J].
MURTY, VN .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1971, 8 (04) :717-&