Average-Case Analysis of Numerical Problems, Issue 1733

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Springer Science & Business Media, May 26, 2000 - Mathematics - 254 pages
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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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Contents

I
1
II
3
III
7
IV
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V
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VI
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VIII
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X
15
LVII
105
LVIII
106
LIX
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LX
110
LXII
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LXIII
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LXIV
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LXVI
115

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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XVIII
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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
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XXVI
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XXVII
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XXVIII
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XXIX
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XXX
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XXXII
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XXXIII
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XXXIV
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XXXV
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XXXVII
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XXXVIII
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XXXIX
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XLI
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XLIII
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XLIV
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XLV
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XLVI
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XLVII
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XLVIII
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XLIX
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LI
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LII
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LIII
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LIV
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LV
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LVI
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LXVII
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LXVIII
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LXIX
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LXX
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LXXI
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LXXII
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LXXIII
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LXXIV
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LXXV
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LXXVI
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LXXVII
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LXXVIII
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LXXIX
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LXXX
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LXXXI
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LXXXII
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LXXXIII
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LXXXIV
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LXXXV
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LXXXVI
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LXXXVII
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LXXXVIII
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LXXXIX
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XCI
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XCII
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XCIII
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XCIV
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XCV
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XCVI
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XCVII
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XCVIII
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XCIX
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C
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CI
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CII
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CIII
249
CIV
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