PRACTICAL APPROXIMATE SOLUTIONS TO LINEAR OPERATOR EQUATIONS WHEN DATA ARE NOISY

被引：534
作者：
WAHBA, G [1 ]
机构：
[1] UNIV WISCONSIN,DEPT STAT,MADISON,WI 53705
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 1977年 / 14卷 / 04期
关键词：
D O I：
10.1137/0714044
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
引用
收藏
页码：651 / 667
页数：17
相关论文
共 39 条
[1]   NEW LOOK AT STATISTICAL-MODEL IDENTIFICATION [J].
AKAIKE, H .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1974, AC19 (06) :716-723
[2]  
ANDERSSEN RS, 1974, TECHNOMETRICS, V16, P69
[3]   NUMERICAL DIFFERENTIATION PROCEDURES FOR NON EXACT DATA [J].
ANDERSSEN, RS ;
BLOOMFIELD, P .
NUMERISCHE MATHEMATIK, 1974, 22 (03) :157-182
[4]   THEORY OF REPRODUCING KERNELS [J].
ARONSZAJN, N .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1950, 68 (MAY) :337-404
[5]   NUMERICAL-SOLUTION OF FREDHOLM INTEGRAL-EQUATIONS OF FIRST KIND [J].
BAKER, CTH ;
WRIGHT, K ;
FOX, L ;
MAYERS, DF .
COMPUTER JOURNAL, 1964, 7 (02) :141-&
[6]   NUMERICAL DIFFERENTIATION AND REGULARIZATION [J].
CULLUM, J .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1971, 8 (02) :254-&
[7]   WELL-POSED STOCHASTIC EXTENSIONS OF ILL-POSED LINEAR PROBLEMS [J].
FRANKLIN, JN .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1970, 31 (03) :682-&
[8]  
GORODNOVA VI, 1973, Z VYCISL MAT MAT FIZ, V13, P539
[9]  
HILGERS J, 1974, TSR1413 U WISC MATH
[10]  
Ievlev I. I., 1973, Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, V13, P1049
1234