scholarly journals Finding the Nearest Passive or Nonpassive System via Hamiltonian Eigenvalue Optimization

2021 ◽  
Vol 42 (4) ◽  
pp. 1553-1580
Author(s):  
Antonio Fazzi ◽  
Nicola Guglielmi ◽  
Christian Lubich
Keyword(s):  
Eigenvalue Optimization

scholarly journals A Trust Region Spectral Bundle Method for Nonconvex Eigenvalue Optimization

2008 ◽  
Vol 19 (1) ◽  
pp. 281-306 ◽  
Author(s):  
P. Apkarian ◽  
D. Noll ◽  
O. Prot
Keyword(s):  
Trust Region ◽  
Bundle Method ◽  
Eigenvalue Optimization

scholarly journals A Subspace Method for Large-Scale Eigenvalue Optimization

2018 ◽  
Vol 39 (1) ◽  
pp. 48-82 ◽  
Author(s):  
Fatih Kangal ◽  
Karl Meerbergen ◽  
Emre Mengi ◽  
Wim Michiels
Keyword(s):  
Large Scale ◽  
Eigenvalue Optimization ◽  
Subspace Method

Topological Optimization Technique for Free Vibration Problems

1995 ◽  
Vol 62 (1) ◽  
pp. 200-207 ◽  
Author(s):  
Zheng-Dong Ma ◽  
Noboru Kikuchi ◽  
Hsien-Chie Cheng ◽  
Ichiro Hagiwara
Keyword(s):  
Free Vibration ◽  
Optimization Algorithm ◽  
Optimization Problem ◽  
Optimization Technique ◽  
Topological Optimization ◽  
Material Distribution ◽  
Eigenvalue Optimization ◽  
Shift Parameter ◽  
Vibration Problems ◽  
Optimal Material

A topological optimization technique using the conception of OMD (Optimal Material Distribution) is presented for free vibration problems of a structure. A new objective function corresponding to multieigenvalue optimization is suggested for improving the solution of the eigenvalue optimization problem. An improved optimization algorithm is then applied to solve these problems, which is derived by the authors using a new convex generalized-linearization approach via a shift parameter which corresponds to the Lagrange multiplier and the use of the dual method. Finally, three example applications are given to substantiate the feasibility of the approaches presented in this paper.

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