Trust-region algorithms for the generalized symmetric eigenvalue problem

نویسندگان

  • P.-A. Absil
  • C. G. Baker
  • K. A. Gallivan
چکیده

The generalized eigenvalue problem

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

یک الگوریتم کارا برای زیر مساله‌ی ناحیه‌ اطمینان توسیع یافته با دو قید خطی

Trust region subproblem (TRS), which is the problem of minimizing a quadratic function over a ball, plays a key role in solving unconstrained nonlinear optimization problems. Though TRS is not necessarily convex, there are efficient algorithms to solve it, particularly in large scale. Recently, extensions of TRS with extra linear constraints have received attention of several researchers. It ha...

متن کامل

Max - Min Eigenvalue Problems , Primal -

Two Primal-dual interior point algorithms are presented for the problem of maximizing the smallest eigenvalue of a symmetric matrix over diagonal perturbations. These algorithms prove to be simple, robust, and eecient. Both algorithms are based on transforming the problem to one over the cone of positive semideenite matrices. One of the algorithms does this transformation through an intermediat...

متن کامل

Some results on the symmetric doubly stochastic inverse eigenvalue problem

‎The symmetric doubly stochastic inverse eigenvalue problem (hereafter SDIEP) is to determine the necessary and sufficient conditions for an $n$-tuple $sigma=(1,lambda_{2},lambda_{3},ldots,lambda_{n})in mathbb{R}^{n}$ with $|lambda_{i}|leq 1,~i=1,2,ldots,n$‎, ‎to be the spectrum of an $ntimes n$ symmetric doubly stochastic matrix $A$‎. ‎If there exists an $ntimes n$ symmetric doubly stochastic ...

متن کامل

A truncated - CG style method for symmetric generalized eigenvalue problems 1

A numerical algorithm is proposed for computing an extreme eigenpair of a symmetric/positive-definite matrix pencil (A, B). The leftmost or the rightmost eigenvalue can be targeted. Knowledge of (A, B) is only required through a routine that performs matrix-vector products. The method has excellent global convergence properties and its local rate of convergence is superlinear. It is based on a ...

متن کامل

Solving the Trust-Region Subproblem By a Generalized Eigenvalue Problem

The state-of-the-art algorithms for solving the trust-region subproblem are based on an iterative process, involving solutions of many linear systems, eigenvalue problems, subspace optimization, or line search steps. A relatively underappreciated fact, due to Gander, Golub and von Matt in 1989, is that trust-region subproblems can be solved by one generalized eigenvalue problem, with no outer i...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004