Polynomial operator equations in abstract spaces and applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton [u.a.]
CRC Press
1998
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 573 S. |
| ISBN: | 0849387027 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
List of Tables v
Introduction vii
1 Quadratic Equations and Perturbation Theory 1
1.1 Algebraic Theory of Quadratic Operators 1
1.2 Perturbation Theory 8
1.3 Chandrasekhar s Integral Equation 24
1.4 Anselone and Moore s Equation 31
1.5 Other Perturbation Theorems 34
Exercises 48
2 More Methods for Solving Quadratic Equations 63
2.1 Banach Algebras 63
2.2 The Majorant Method 69
2.3 Compact Quadratic Equations 84
2.4 Finite Rank Equations 90
2.5 Noncontractive Solutions 100
2.6 On a Class of Quadratic Integral Equations with Perturbation . . 129
Exercises 141
3 Polynomial Equations in Banach Space 151
3.1 Polynomial Equations 151
3.2 Noncontractive Results 173
3.3 Solving Polynomial Operator Equations in Ordered
Banach Spaces 190
Exercises 200
4 Integral and Differential Equations 209
4.1 Equations of Hammerstein Type 209
4.2 Radiative Transfer Equations 216
iv CONTENTS
4.3 Differential Equations 249
4.4 Integrals on a Separable Hilbert Space 263
4.5 Approximation of Solutions of Some Quadratic Integral Equations
in Transport Theory 276
4.6 Multipower Equations 295
4.7 Uniformly Contractive Systems and Quadratic Equations in
Banach Space 317
Exercises 329
5 Polynomial Operators in Linear Spaces 339
5.1 A Weierstrass Theorem 339
5.2 Matrix Representations 349
5.3 Lagrange and Hermite Interpolation 359
5.4 Bounds of Polynomial Equations 372
5.5 Representations of Multilinear and Polynomial Operators on
Vector Spaces 391
5.6 Completely Continuous and Related Multilinear Operators . . . 399
Exercises 414
6 General Methods for Solving Nonlinear Equations 421
6.1 Accessibility of Solutions of Equations by Newton Like Methods
and Applications 421
6.2 The Super Halley Method 429
6.3 Convergence Rates for Inexact Newton Like Methods at Singular
Points 438
6.4 A Newton Mysovskii Type Theorem with Applications to Inexact
Newton Like Methods at their Discretizations 454
6.5 Convergence Domains for some Iterative Processes in Banach
Spaces Using Outer and Generalized Inverses 484
6.6 Convergence of Inexact Newton Methods on Banach Spaces with
a Convergence Structure 501
Exercises 516
Glossary of Symbols 551
References 553
Index 569
|
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:21:59Z |
| institution | BVB |
| isbn | 0849387027 |
| language | English |
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| physical | VIII, 573 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | CRC Press |
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| spelling | Argyros, Ioannis K. Verfasser (DE-588)14160820X aut Polynomial operator equations in abstract spaces and applications Ioannis K. Argyros Boca Raton [u.a.] CRC Press 1998 VIII, 573 S. txt rdacontent n rdamedia nc rdacarrier Iterative methods (Mathematics) Operator equations Numerical solutions Polynomials Operatorgleichung (DE-588)4043601-9 gnd rswk-swf Polynomoperator (DE-588)4175267-3 gnd rswk-swf Polynomoperator (DE-588)4175267-3 s Operatorgleichung (DE-588)4043601-9 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008205969&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Argyros, Ioannis K. Polynomial operator equations in abstract spaces and applications Iterative methods (Mathematics) Operator equations Numerical solutions Polynomials Operatorgleichung (DE-588)4043601-9 gnd Polynomoperator (DE-588)4175267-3 gnd |
| subject_GND | (DE-588)4043601-9 (DE-588)4175267-3 |
| title | Polynomial operator equations in abstract spaces and applications |
| title_auth | Polynomial operator equations in abstract spaces and applications |
| title_exact_search | Polynomial operator equations in abstract spaces and applications |
| title_full | Polynomial operator equations in abstract spaces and applications Ioannis K. Argyros |
| title_fullStr | Polynomial operator equations in abstract spaces and applications Ioannis K. Argyros |
| title_full_unstemmed | Polynomial operator equations in abstract spaces and applications Ioannis K. Argyros |
| title_short | Polynomial operator equations in abstract spaces and applications |
| title_sort | polynomial operator equations in abstract spaces and applications |
| topic | Iterative methods (Mathematics) Operator equations Numerical solutions Polynomials Operatorgleichung (DE-588)4043601-9 gnd Polynomoperator (DE-588)4175267-3 gnd |
| topic_facet | Iterative methods (Mathematics) Operator equations Numerical solutions Polynomials Operatorgleichung Polynomoperator |
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