Practical Rational Interpolation of Exact and Inexact Data Theory ...

More documents

Recommendations

Info

Part I A Practical Algorithm for Univariate Rational Interpolation with Asymptotic Information 1
Page 1: Faculteit Wetenschappen Departement
Page 4 and 5: iv Contents 5 Related algorithms 57
Page 6 and 7: vi Nederlandstalige samenvatting ri
Page 9: Acknowledgments “ It is, at the e
Page 14 and 15: 4 Introduction ues, but excluding t
Page 16 and 17: 6 1. Classical rational interpolati
Page 18 and 19: 8 1. Classical rational interpolati
Page 20 and 21: 10 1. Classical rational interpolat
Page 22 and 23: 12 1. Classical rational interpolat
Page 25 and 26: Barycentric representation 2 In thi
Page 27 and 28: 2.1. Classical rational interpolati
Page 29 and 30: 2.3. Pole free rational interpolati
Page 31 and 32: 2.4. Numerical stability 21 From th
Page 33 and 34: 2.4. Numerical stability 23 Proposi
Page 35 and 36: 2.4. Numerical stability 25 and wit
Page 37 and 38: 2.4. Numerical stability 27 numerat
Page 39: 2.5. Conclusion 29 The explanation
Page 42 and 43: 32 3. Interpolating continued fract
Page 57 and 58: Asymptotic behavior 4 In the previo
Page 59 and 60: 4.3. Modification of Werner’s alg
Page 61 and 62:
4.3. Modification of Werner’s alg
Page 63 and 64:
4.4. Connection with Thiele continu
Page 65 and 66:
4.5. Illustrations 55 the point at
Page 67 and 68:
Related algorithms 5 There are many
Page 69 and 70:
5.1. Staircase G-fractions 59 total
Page 71 and 72:
5.2. Parameterizations 61 (s1,s2)-d
Page 73 and 74:
5.2. Parameterizations 63 Algorithm
Page 75 and 76:
5.2. Parameterizations 65 Propositi
Page 77 and 78:
5.2. Parameterizations 67 Propositi
Page 79:
Part II Multivariate Rational Appro
Page 82 and 83:
72 Related algorithms Chapter 8 is
Page 84 and 85:
74 6. Rational interpolation of ver
Page 86 and 87:
Page 88 and 89:
Page 90 and 91:
Page 92 and 93:
Page 94 and 95:
Page 97 and 98:
Benchmarks 7 In this Chapter we app
Page 99 and 100:
7.2. Bivariate problems 89 7.2 Biva
Page 101 and 102:
7.3. Higher dimensional problems 91
Page 103 and 104:
7.3. Higher dimensional problems 93
Page 105 and 106:
7.4. Guidelines 95 0.022 0.02 0.018
Page 107 and 108:
Case study: multidimensional recurs
Page 109 and 110:
8.1. Multidimensional recursive sys
Page 111 and 112:
8.2. Rational interpolation of unce
Page 113 and 114:
8.3. Design of stable IIR filters 1
Page 115 and 116:
8.3. Design of stable IIR filters 1
Page 117 and 118:
8.4. Guaranteeing stability in the
Page 119 and 120:
8.4. Guaranteeing stability in the
Page 121 and 122:
Conclusions and further research 9.
Page 123 and 124:
9.2. Further research 113 multivari
Page 125 and 126:
Software A The techniques developed
Page 127 and 128:
A.1. Univariate rational interpolat
Page 129 and 130:
A.2. Rational interpolation of vert
Page 131 and 132:
Page 133 and 134:
Page 135 and 136:
Page 137 and 138:
Page 139 and 140:
Filter Coefficients B.1 Tables B Th
Page 141 and 142:
B.1. Tables 131 Table B.5 continued
Page 143 and 144:
B.1. Tables 133 (k1, k2) α(k1, k2)
Page 145 and 146:
B.1. Tables 135 (k1, k2) α(k1, k2)
Page 147 and 148:
Bibliography [AA86] A. Antoulas and
Page 149 and 150:
Bibliography 139 [CW88] A. Cuyt and
Page 151 and 152:
Bibliography 141 [MC04] H. Motulsky
Page 153:
Bibliography 143 [Vla08] E. Y. Vlad
show all

Practical Rational Interpolation of Exact and Inexact Data Theory ...

Create successful ePaper yourself

Delete template?

Save as template?