Average-Case Analysis of Numerical Problems, Ausgabe 1733

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Springer Science & Business Media, 26.05.2000 - 254 Seiten
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The average-case analysis of numerical problems is the counterpart of the more traditional worst-case approach. The analysis of average error and cost leads to new insight on numerical problems as well as to new algorithms. The book provides a survey of results that were mainly obtained during the last 10 years and also contains new results. The problems under consideration include approximation/optimal recovery and numerical integration of univariate and multivariate functions as well as zero-finding and global optimization. Background material, e.g. on reproducing kernel Hilbert spaces and random fields, is provided.
 

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Inhalt

I
1
II
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III
7
IV
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V
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VI
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VIII
13
X
15
LVI
105
LVII
106
LVIII
108
LIX
110
LXI
112
LXII
113
LXIII
114
LXV
115

XII
16
XIII
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XIV
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XV
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XVI
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XVII
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XIX
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XX
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XXI
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XXII
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XXIII
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XXIV
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XXV
33
XXVI
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XXVII
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XXVIII
44
XXIX
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XXXI
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XXXII
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XXXIII
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XXXIV
55
XXXVI
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XXXVII
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XXXVIII
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XL
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XLII
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XLIII
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XLIV
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XLV
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XLVI
72
XLVII
79
XLVIII
81
L
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LI
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LII
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LIII
92
LIV
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LV
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LXVI
116
LXVII
119
LXVIII
123
LXIX
126
LXX
127
LXXI
133
LXXII
134
LXXIII
135
LXXIV
139
LXXV
148
LXXVI
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LXXVII
155
LXXVIII
157
LXXIX
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LXXX
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LXXXI
167
LXXXII
168
LXXXIII
170
LXXXIV
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LXXXV
178
LXXXVI
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LXXXVII
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LXXXVIII
187
XC
190
XCI
192
XCII
194
XCIII
196
XCIV
199
XCV
206
XCVI
209
XCVII
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XCVIII
214
XCIX
220
C
227
CI
245
CII
249
CIII
253
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