نتایج جستجو برای: eigenvalue gradient method

تعداد نتایج: 1735319  

2000
Ren-Cang Li

This note gives converses to the well-known result: for any vector e u such that sin (u; e u) = O(), we have e u Ae u e u e u = + O(2) where is an eigenvalue and u is the corresponding eigenvector of a Her-mitian matrix A, and \ " denotes complex conjugate transpose. It shows that if e u Ae u=e u e u is close to A's largest eigenvalue, then e u is close to the corresponding eigenvector with an ...

Journal: :SIAM J. Scientific Computing 2007
Andrew V. Knyazev Merico E. Argentati Ilya Lashuk Evgueni E. Ovtchinnikov

We describe our software package Block Locally Optimal Preconditioned Eigenvalue Xolvers (BLOPEX) publicly released recently. BLOPEX is available as a stand-alone serial library, as an external package to PETSc (“Portable, Extensible Toolkit for Scientific Computation”, a general purpose suite of tools for the scalable solution of partial differential equations and related problems developed by...

2008
Andrej Muhic Bor Plestenjak

In the 1960s, Atkinson introduced an abstract algebraic setting for multiparameter eigenvalue problems. He showed that a nonsingular multiparameter eigenvalue problem is equivalent to the associated system of generalized eigenvalue problems. Many theoretical results and numerical methods for nonsingular multiparameter eigenvalue problems are based on this relation. In this paper, the above rela...

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه تفرش - دانشکده ریاضی 1389

مسأله بهینه سازی با قیود محدب بعنوان یکی از مسائل مهم و اساسی در بهینه سازی مطرح میباشد. مسائل برنامه ریزی خـطی حالــت خاصی از چنین مسائلی می باشند. در اینجا مسأله بهینه سازی غیرخــطی با قیود محدب، در حالتی بیان میشود که قیود محدب را بصورت قیود کراندار ساده داشته باشیم. یعنی، تنها متغیرهای مسأله از بالا و پایین کراندار باشند. در چند دهه اخیر روش های بسیاری (روش های یکنوا و غیریکنوا ) برای حل ای...

Journal: :IEEE Trans. Acoustics, Speech, and Signal Processing 1986
Huanqun Chen Tapan K. Sarkar Sohail A. Dianat John Brule

This paper proposes an alternative technique for adaptive spectral estimation. The new technique applies the method of conjugate gradient, which is used for iteratively finding the generalized eigenvector corresponding to the minimum generalized eigenvalue of a semidefinite Hermitian matrix, to the adaptive spectral analysis problem. Computer simulations have been performed to compare the new m...

2006
Jack Dongarra Julien Langou Stanimire Tomov Andrew Canning Osni Marques Christof Vömel Lin-Wang Wang

We are concerned with the computation of electronic and optical properties of quantum dots. Using the Energy SCAN (ESCAN) method with empirical pseudopotentials, we compute interior eigenstates around the band gap which determine their properties. Numerically, this interior Hermitian eigenvalue problem poses several challenges, both with respect to accuracy and efficiency. Using these criteria,...

2012
Ayumu SAITOH Taku ITOH Nobuyuki MATSUI Atsushi KAMITANI Hiroaki NAKAMURA

The numerical method for solving the nonlinear eigenvalue problem has been developed by using the collocation Element-Free Galerkin Method (EFGM) and its performance has been numerically investigated. The results of computations show that the approximate solution of the nonlinear eigenvalue problem can be obtained stably by using the developed method. Therefore, it can be concluded that the dev...

Journal: :Journal of Computational and Applied Mathematics 1994

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