Algebraic Systems of Equations and Computational Complexity Theory
Language: English
Published by Springer, Springer Okt 2012, 2012
- Softcover
- New
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This item is printed on demand - Print on Demand Titel. Neuware -Chpater 1 Kuhn's algorithm for algebraic equations.- 1. Triangulation and labelling.- 2. Complementary pivoting algorithm.- 3. Convergence, I.- 4. Convergence, II.- 2 Efficiency of Kuhn's algorithm.- 1. Error estimate.- 2. Cost estimate.- 3. Monotonicity problem.- 4. Results on monotonicity.- 3 Newton method and approximate zeros.- 1. Approximate zeros.- 2. Coefficients of polynomials.- 3. One step of Newton iteration.- 4. Conditions for approximate zeros.- 4 A complexity comparison of Kuhn's algorithm and Newton method.- 1. Smale's work on the complexity of Newton method.- 2. Set of bad polynomials and its volume estimate.- 3. Locate approximate zeros by Kuhn's algorithm.- 4. Some remarks.- 5 Incremental algorithms and cost theory.- 1. Incremental algorithms Ih,f.- 2. Euler's algorithm is of efficiency k.- 3. Generalized approximate zeros.- 4. Ek iteration.- 5. Cost theory of Ek as an Euler's algorithm.- 6. Incremental algorithms of efficiency k.- 6 Homotopy algorithms.- 1. Homotopies and Index Theorem.- 2. Degree and its invariance.- 3. Jacobian of polynomial mappings.- 4. Conditions for boundedness of solutions.- 7 Probabilistic discussion on zeros of polynomial mappings.- 1. Number of zeros of polynomial mappings.- 2. Isolated zeros.- 3. Locating zeros of analytic functions in bounded regions.- 8 Piecewise linear algorithms.- 1. Zeros of PL mapping and their indexes.- 2. PL approximations.- 3. PL homotopy algorithms work with probability one.- References.- Acknowledgments.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 260 pp. Englisch.…
Seller Inventory # 9789401043427
- Title
- Algebraic Systems of Equations and Computational Complexity Theory
- Author
- Z. Wang
- Publisher
- Springer, Springer Okt 2012
- Publication year
- 2012
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 9401043426
- ISBN 13
- 9789401043427
- Item weight
- 421 grams
- Dimensions
- 240x160x15 mm
This volume presents a self-contained account of recent work on simplicial and continuation methods applied to the solution of algebraic equations. The contents are divided into eight chapters. Chapters 1 and 2 deal with Kuhn's algorithm; Chapter 3 considers Newton's method, and a comparison between Kuhn's algorithm and Newton's method is presented in Chapter 4. The following four chapters discuss respectively, incremental algorithms and their cost theory, homotopy algorithms, zeros of polynomial mapping, and piecewise linear algorithms.
For researchers and graduates interested in algebraic equations and computational complexity theory.
"Synopsis" may belong to another edition of this title.
Product Description
This volume presents a self-contained account of recent work on simplicial and continuation methods applied to the solution of algebraic equations. The contents are divided into eight chapters. Chapters 1 and 2 deal with Kuhn's algorithm; Chapter 3 considers Newton's method, and a comparison between Kuhn's algorithm and Newton's method is presented in Chapter 4. The following four chapters discuss respectively, incremental algorithms and their cost theory, homotopy algorithms, zeros of polynomial mapping, and piecewise linear algorithms.
For researchers and graduates interested in algebraic equations and computational complexity theory.
"About the title" may belong to another edition of this title.
buchversandmimpf2000
Emtmannsberg, BAYE, Germany
AbeBooks seller since January 23, 2017
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