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Nonlinear programming methods for solving nonlinear eigenvalue problems

机译：求解非线性特征值问题的非线性规划方法

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摘要

Existence and extendability of continuous eigenvector branches and application of nonlinear programming algorithms to nonlinear heat generation and rotating string problems

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作者
Rauch, S. W.;
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年度 1971
页码 1-192
总页数 192
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
ALGORITHMS; BRANCHING (MATHEMATICS); CONVERGENCE; EIGENVECTORS; HEAT GENERATION; NONLINEAR PROGRAMMING; EXISTENCE THEOREMS; ROTATING BODIES; STEP FUNCTIONS; STRINGS;

机译：算法;分支（数学）;收敛;特征向量;热量;非线性规划;存在定理;旋转机构;步骤功能; sTRINGs;

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专利

1. The Method of Cauchy Problem for Solving a Nonlinear Eigenvalue Transmission Problem for TM Waves Propagating in a Layer with Arbitrary Nonlinearity [J] . D. V. Valovik, E. V. Zarembo Computational mathematics and mathematical physics . 2013,第1期

机译：Cauchy问题的方法，用于求解在任意非线性层中传播的TM波的非线性特征值传递问题
2. Nonlinear rayleigh-ritz iterative method for solving large scale nonlinear eigenvalue problems [J] . Liao B.-S., Bai Z., Lee L.-Q., Taiwanese journal of mathematics . 2010,第3Appa期

机译：求解大型非线性特征值问题的非线性瑞利-里兹迭代法
3. A CHEBYSHEV POLYNOMIAL INTERVAL-SEARCHING METHOD (LANCZOS ECONOMIZATION) FOR SOLVING A NONLINEAR EQUATION WITH APPLICATION TO THE NONLINEAR EIGENVALUE PROBLEM [J] . Boyd JP. Journal of Computational Physics . 1995,第1期

机译：求解非线性方程的切比雪夫多项式区间搜索方法（兰科斯经济学）及其在非线性特征值问题中的应用
4. A simple numerical method for minimizing the maximum eigenvalues of symmetric matrices via nonlinear differential equation solvers [C] . Imae, J., Furudate, . 1996

机译：通过非线性微分方程求解器最小化对称矩阵最大特征值的简单数值方法
5. Branch and bound methods for solving a class of nonlinear integer programming problems. [D] . Lee, Won Jun. 1989

机译：解决一类非线性整数规划问题的分支定界方法。
6. Restarting iterative projection methods for Hermitian nonlinear eigenvalue problems with minmax property [O] . Marta M. Betcke, Heinrich Voss -1

机译：具有minmax属性的Hermitian非线性特征值问题的重新启动迭代投影方法
7. Non-monotone derivative-free algorithm for solving optimization models with linear constraints: extensions for solving nonlinearly constrained models via exact penalty methods [O] . Ubaldo M. García-Palomares 2020

机译：非单调的衍生算法，用于解决线性约束的优化模型：通过精确的惩罚方法解决非线性约束模型的延伸
8. Nonlinear Programming Methods for Solving Nonlinear Eigenvalue Problems [R] . Rauch, S. W. 1971

机译：求解非线性特征值问题的非线性规划方法

Nonlinear programming methods for solving nonlinear eigenvalue problems

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