Screen LibraryComputational functional analysis /
This course text fills a gap for first-year graduate-level students reading applied functional analysis or advanced engineering analysis and modern control theory. Containing 100 problem-exercises, answers, and tutorial hints, the first edition is often cited as a standard reference. Making a unique...
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| Main Authors: | |
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| Corporate Authors: | |
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| Published: |
Horwood Pub.,
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| Publisher Address: | Chichester, UK [England] : |
| Publication Dates: | 2007. |
| Literature type: | eBook |
| Language: | English |
| Edition: | Second edition. |
| Series: |
Ellis Horwood series in mathematics and its applications
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| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/book/9781904275244 |
| Summary: |
This course text fills a gap for first-year graduate-level students reading applied functional analysis or advanced engineering analysis and modern control theory. Containing 100 problem-exercises, answers, and tutorial hints, the first edition is often cited as a standard reference. Making a unique contribution to numerical analysis for operator equations, it introduces interval analysis into the mainstream of computational functional analysis, and discusses the elegant techniques for reproducing Kernel Hilbert spaces. There is discussion of a successful ''hybrid'' method for difficult real |
| Carrier Form: | 1 online resource (180 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages 173-176) and index. |
| ISBN: |
9781613448120 1613448120 9780857099433 0857099434 |
| Index Number: | QA320 |
| CLC: | O177 |
| Contents: | Linear spaces -- Topological spaces -- Metric spaces -- Normed linear spaces and Banach spaces -- Inner product spaces and Hilbert spaces -- Linear functionals -- Types of convergence in function spaces -- Reproducing Kernel Hilbert spaces -- Order relations in function spaces -- Operators in function spaces -- Completely continuous (compact) operators -- Approximation methods for linear operator equations -- Interval methods for operator equations -- Contraction mappings and iterative methods -- Fre chet derivatives -- Newton's method in Banach spaces -- Variants of Newton's method -- Homot |