论文标题
特征向量非线性的轮廓集成
Contour Integration for Eigenvector Nonlinearities
论文作者
论文摘要
解决特征向量非线性（PEPV）的多项式特征值问题（PEPV）是一个有趣的计算挑战，超出了针对非线性特征值问题的发达方法的范围。我们提出了这些方法的自然概括，该方法导致一种用于计算复杂平面紧凑区域中PEPV的所有特征值的轮廓积分方法。我们的方法可用于求解任何合适的多项式或有理函数方程的通用系统。
Solving polynomial eigenvalue problems with eigenvector nonlinearities (PEPv) is an interesting computational challenge, outside the reach of the well-developed methods for nonlinear eigenvalue problems. We present a natural generalization of these methods which leads to a contour integration approach for computing all eigenvalues of a PEPv in a compact region of the complex plane. Our methods can be used to solve any suitably generic system of polynomial or rational function equations.
