Iterative Solution of Nonlinear Equations in Several Variables
Iterative Solution of Nonlinear Equations in Several Variables
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DOI：
10.1137/1.9780898719468
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发表时间：
2014-09
期刊：
影响因子：
--
通讯作者：
J. M. Ortega;W. Rheinboldt
中科院分区：
文献类型：
--
作者：
J. M. Ortega;W. Rheinboldt
经典版序言致谢符号词汇介绍第一部分。背景材料。1. 2.第二章第三章线性代数分析第二部分。非构造性存在定理4.梯度映射和最小化5.收缩和连续属性6.映射的程度第三部分。迭代方法。7.一般迭代方法8.最小化方法第四部分。局部收敛。9. 10.第10章.一步固定方法11.多步法和附加的一步法第五部分半局部和整体收敛。12.收缩和非线性主变量13. 14.第14章.最小化方法的收敛基本工具书书目作者索引主题索引注释表。
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.