scholarly journals Computing Interior Eigenvalues of Large Sparse Symmetric Matrices

2021 ◽  
Vol 7 (6) ◽  
Author(s):  
Achiya Dax
Keyword(s):  
Numerical Experiments ◽  
Monotonicity Property ◽  
Symmetric Matrices ◽  
Krylov Methods

AbstractIn this paper we present new restarted Krylov methods for calculating interior eigenvalues of large sparse symmetric matrices. The proposed methods are compact versions of the Heart iteration which are modified to retain the monotonicity property. Numerical experiments illustrate the usefulness of the proposed approach.

General Solutions for a Class of Inverse Quadratic Eigenvalue Problems

2014 ◽  
Vol 4 (1) ◽  
pp. 69-81 ◽  
Author(s):  
Xiaoqin Tan ◽  
Li Wang
Keyword(s):  
Numerical Experiments ◽  
Eigenvalue Problems ◽  
Positive Definite ◽  
Symmetric Matrices ◽  
Quadratic Eigenvalue Problem ◽  
Matrix Decompositions ◽  
Quadratic Pencil ◽  
Quadratic Eigenvalue Problems ◽  
Quadratic Eigenvalue ◽  
The Given

AbstractBased on various matrix decompositions, we compare different techniques for solving the inverse quadratic eigenvalue problem, where n × n real symmetric matrices M, C and K are constructed so that the quadratic pencil Q(λ) = λ2M + λC + K yields good approximations for the given k eigenpairs. We discuss the case where M is positive definite for 1 ≤ k ≤ n, and a general solution to this problem for n + 1 ≤ k ≤ 2n. The efficiency of our methods is illustrated by some numerical experiments.

Controllable Compliance Joint For Human Oriented Robots

2013 ◽  
Vol 43 (1) ◽  
pp. 47-60
Author(s):  
Mihail Tsveov ◽  
Dimitar Chakarov
Keyword(s):  
Numerical Experiments ◽  
Position Control ◽  
Joint Stiffness ◽  
Joint Motion ◽  
Compliance Control ◽  
Leaf Springs ◽  
Antagonistic Actuation

Abstract In the paper, different approaches for compliance control for human oriented robots are revealed. The approaches based on the non- antagonistic and antagonistic actuation are compared. In addition, an approach is investigated in this work for the compliance and the position control in the joint by means of antagonistic actuation. It is based on the capability of the joint with torsion leaf springs to adjust its stiffness. Models of joint stiffness are presented in this paper with antagonistic and non-antagonistic influence of the spring forces on the joint motion. The stiffness and the position control possibilities are investigated and the opportunity for their decoupling as well. Some results of numerical experiments are presented in the paper too.

An Experimental Study of Methods for Parallel Preconditioned Krylov Methods

1988 ◽  
Author(s):  
Doug Baxter ◽  
Joel Saltz ◽  
Martin Schultz ◽  
Stan Eisenstat ◽  
Kay Crowley
Keyword(s):  
Experimental Study ◽  
Krylov Methods

A Non-Monotone Line Search Combination Technique for Unconstrained Optimization

2014 ◽  
Vol 8 (1) ◽  
pp. 218-221 ◽  
Author(s):  
Ping Hu ◽  
Zong-yao Wang
Keyword(s):  
Global Convergence ◽  
Unconstrained Optimization ◽  
Numerical Experiments ◽  
Line Search ◽  
Optimization Problems ◽  
Search Algorithm ◽  
New Combination ◽  
Combination Rule ◽  
Combination Technique ◽  
Unconstrained Optimization Problems

We propose a non-monotone line search combination rule for unconstrained optimization problems, the corresponding non-monotone search algorithm is established and its global convergence can be proved. Finally, we use some numerical experiments to illustrate the new combination of non-monotone search algorithm’s effectiveness.

scholarly journals Computer Modeling of Aerosol Emissions Spread in the Atmosphere

2019 ◽  
Vol 97 ◽  
pp. 05023 ◽  
Author(s):  
Daler Sharipov ◽  
Sharofiddin Aynakulov ◽  
Otabek Khafizov
Keyword(s):  
Boundary Layer ◽  
Mathematical Model ◽  
Atmospheric Boundary Layer ◽  
Computer Modeling ◽  
Numerical Experiments ◽  
Climatic Factors ◽  
Numerical Algorithms ◽  
Aerosol Emissions ◽  
The Given ◽  
And Diffusion

The paper deals with the development of mathematical model and numerical algorithms for solving the problem of transfer and diffusion of aerosol emissions in the atmospheric boundary layer. The model takes into account several significant parameters such as terrain relief, characteristics of underlying surface and weather-climatic factors. A series of numerical experiments were conducted based on the given model. The obtained results presented here show how these factors affect aerosol emissions spread in the atmosphere.

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