lower eigenvalue
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A Skeletal Finite Element Method Can Compute Lower Eigenvalue Bounds

2020 ◽  
Vol 58 (1) ◽  
pp. 109-124
Author(s):  
Carsten Carstensen ◽  
Qilong Zhai ◽  
Ran Zhang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Lower Eigenvalue ◽  
Eigenvalue Bounds ◽  
Element Method

scholarly journals Optimal lower eigenvalue estimates for Hodge-Laplacian and applications

2019 ◽  
Vol 266 (12) ◽  
pp. 8320-8343
Author(s):  
Qing Cui ◽  
Linlin Sun
Keyword(s):  
Lower Eigenvalue ◽  
Eigenvalue Estimates ◽  
Hodge Laplacian

Lower Eigenvalue Bounds on Summation for the Solution of the Lyapunov Matrix Differential Equation

2016 ◽  
Vol 19 (1) ◽  
pp. 382-390
Author(s):  
Juan Zhang ◽  
Jianzhou Liu ◽  
Hao Huang
Keyword(s):  
Differential Equation ◽  
Lower Eigenvalue ◽  
Matrix Differential Equation ◽  
Eigenvalue Bounds ◽  
Lyapunov Matrix ◽  
Matrix Differential

Guaranteed lower eigenvalue bounds for the biharmonic equation

2013 ◽  
Vol 126 (1) ◽  
pp. 33-51 ◽  
Author(s):  
Carsten Carstensen ◽  
Dietmar Gallistl
Keyword(s):  
Biharmonic Equation ◽  
Lower Eigenvalue ◽  
Eigenvalue Bounds

New Upper and Lower Eigenvalue Bounds for the Solution of the Continuous Algebraic Riccati Equation

2012 ◽  
Vol 16 (1) ◽  
pp. 284-291 ◽  
Author(s):  
Jianzhou Liu ◽  
Juan Zhang
Keyword(s):  
Riccati Equation ◽  
Algebraic Riccati Equation ◽  
Lower Eigenvalue ◽  
Eigenvalue Bounds

scholarly journals An Optimal Lower Eigenvalue System

2011 ◽  
Vol 2011 ◽  
pp. 1-20
Author(s):  
Yingfan Liu
Keyword(s):  
Growth Factors ◽  
Lipschitz Continuity ◽  
Optimal Growth ◽  
Lower Eigenvalue ◽  
Input Output ◽  
Von Neumann ◽  
Balanced Growth ◽  
Continuity Result ◽  
Neumann Type ◽  
Eigenvalue System

An optimal lower eigenvalue system is studied, and main theorems including a series of necessary and suffcient conditions concerning existence and a Lipschitz continuity result concerning stability are obtained. As applications, solvability results to some von-Neumann-type input-output inequalities, growth, and optimal growth factors, as well as Leontief-type balanced and optimal balanced growth paths, are also gotten.

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