A fast continuous method for the extreme eigenvalue problem

Huan Gao;  ; Zhibao Li; Haibin Zhang;

doi:10.3934/jimo.2017008

A fast continuous method for the extreme eigenvalue problem

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2017008 ◽

2017 ◽

Vol 13 (3) ◽

pp. 1587-1599

Author(s):

Huan Gao ◽

◽

Zhibao Li ◽

Haibin Zhang ◽

Keyword(s):

Eigenvalue Problem ◽

Continuous Method ◽

Extreme Eigenvalue

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A Recurrent Neural Network for Extreme Eigenvalue Problem

Lecture Notes in Computer Science - Advances in Intelligent Computing ◽

10.1007/11538059_82 ◽

2005 ◽

pp. 787-796 ◽

Cited By ~ 4

Author(s):

Fuye Feng ◽

Quanju Zhang ◽

Hailin Liu

Keyword(s):

Neural Network ◽

Eigenvalue Problem ◽

Recurrent Neural Network ◽

Extreme Eigenvalue

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An efficient adaptive algorithm for the direction-of-arrival (DOA) estimation utilizing the solution of extreme eigenvalue problem

Antennas and Propagation Society Symposium 1991 Digest ◽

10.1109/aps.1991.174854 ◽

2002 ◽

Author(s):

S. Choi ◽

H.D. Bae ◽

T.K. Sarkar

Keyword(s):

Eigenvalue Problem ◽

Adaptive Algorithm ◽

Direction Of Arrival ◽

Doa Estimation ◽

Extreme Eigenvalue

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Barzilai-Borwein-like methods for the extreme eigenvalue problem

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2015.11.999 ◽

2015 ◽

Vol 11 (3) ◽

pp. 999-1019 ◽

Cited By ~ 3

Author(s):

Huan Gao ◽

◽

Yu-Hong Dai ◽

Xiao-Jiao Tong ◽

◽

...

Keyword(s):

Eigenvalue Problem ◽

Extreme Eigenvalue

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Blind adaptive beamforming algorithms based on the extreme eigenvalue problem

IEEE Antennas and Propagation Society International Symposium 1997. Digest ◽

10.1109/aps.1997.625458 ◽

2002 ◽

Cited By ~ 1

Author(s):

Seungwon Choi ◽

Dongun Yun ◽

Hyunbae Lee

Keyword(s):

Eigenvalue Problem ◽

Adaptive Beamforming ◽

Extreme Eigenvalue ◽

Blind Adaptive

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FREDHOLM DETERMINANT SOLUTION FOR NONLINEAR EQUATIONS ASSOCIATED WITH ISOSPECTRAL SCHRÖDINGER EIGENVALUE PROBLEM

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30132-2 ◽

1994 ◽

Vol 14 (4) ◽

pp. 426-437

Author(s):

Liede Huang ◽

Zhonghuan Xia

Keyword(s):

Eigenvalue Problem ◽

Nonlinear Equations ◽

Fredholm Determinant

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A comparative study of history-based versus vectorized Monte Carlo methods in the GPU/CUDA environment for a simple neutron eigenvalue problem

SNA + MC 2013 - Joint International Conference on Supercomputing in Nuclear Applications + Monte Carlo ◽

10.1051/snamc/201404206 ◽

2014 ◽

Cited By ~ 1

Author(s):

Tianyu Liu ◽

Xining Du ◽

Wei Ji ◽

X. George Xu ◽

Forrest B. Brown

Keyword(s):

Monte Carlo ◽

Eigenvalue Problem ◽

Comparative Study ◽

Monte Carlo Methods

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Eigenvalue Problem for the Second Order Differential Equation with Nonlocal

Nonlinear Analysis Modelling and Control ◽

10.15388/na.2006.11.1.14762 ◽

2006 ◽

Vol 11 (1) ◽

pp. 13-32 ◽

Cited By ~ 10

Author(s):

B. Bandyrskii ◽

I. Lazurchak ◽

V. Makarov ◽

M. Sapagovas

Keyword(s):

Differential Equation ◽

Eigenvalue Problem ◽

Variable Coefficient ◽

Order Differential Equation ◽

Integral Condition ◽

Second Order ◽

Computational Results ◽

Discrete Method ◽

Complex Eigenvalues ◽

Nonlocal Integral Condition

The paper deals with numerical methods for eigenvalue problem for the second order ordinary differential operator with variable coefficient subject to nonlocal integral condition. FD-method (functional-discrete method) is derived and analyzed for calculating of eigenvalues, particulary complex eigenvalues. The convergence of FD-method is proved. Finally numerical procedures are suggested and computational results are schown.

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