多变量非线性方程的迭代解

J. Ortega, W. Rheinboldt
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引用次数: 8483

摘要

经典版序言序言致谢符号词汇介绍第一部分背景材料。例题2。线性代数3。分析第二部分。非构造存在性定理。梯度映射和最小化缩并与延拓性质映射的度(三)。迭代法。一般迭代法最小化方法第四部分:局部收敛。收敛速度-一般一步固定法12.多步方法和附加的一步方法。第五部分:半局部收敛和全局收敛。缩写和非线性主修偏序下的收敛性。最小化方法的收敛性——基本参考书目书目作者索引主题索引注释表。
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Iterative solution of nonlinear equations in several variables
Preface to the Classics Edition Preface Acknowledgments Glossary of Symbols Introduction Part I. Background Material. 1. Sample Problems 2. Linear Algebra 3. Analysis Part II. Nonconstructive Existence Theorems. 4. Gradient Mappings and Minimization 5. Contractions and the Continuation Property 6. The Degree of a Mapping Part III. Iterative Methods. 7. General Iterative Methods 8. Minimization Methods Part IV. Local Convergence. 9. Rates of Convergence-General 10. One-Step Stationary Methods 11. Multistep Methods and Additional One-Step Methods Part V. Semilocal and Global Convergence. 12. Contractions and Nonlinear Majorants 13. Convergence under Partial Ordering 14. Convergence of Minimization Methods An Annotated List of Basic Reference Books Bibliography Author Index Subject Index.
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