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A practical technique for the determination of the optimum relaxation factor of the successive over-relaxation method

H. E. Kulsrud
1961 Communications of the ACM  
Scientific and Business Applications A Practical Technique for the Determination of the Optimum Relaxation Factor of the Successive Over-Relaxation Method H. E.  ...  the best rate of convergence, is given by The successive over-relaxation method converges for 1 S w S 2.  ... 
doi:10.1145/355578.366504 fatcat:ohbkejpfjvabtmzwi6uazp2a54

Page 184 of Communications of the Association for Computing Machinery Vol. 4, Issue 4 [page]

1961 Communications of the Association for Computing Machinery  
Scientific and Business Applications A Practical Technique for the Determination of the Optimum Relaxation Factor of the Successive Over-Relaxation Method H. E.  ...  the best rate of convergence, is given by The successive over-relaxation method converges for 1 S w S 2.  ... 

An Iterative Process for Optimizing Symmetric Successive Over-Relaxation

D. J. Evans, C. V. D. Forrington
1963 Computer journal  
An iterative process for optimizing symmetric successive over-relaxation is described and numerical results are presented to illustrate the practical utility of the process when applied to the solution  ...  of elliptic difference equations.  ...  Acknowledgement The authors would like to thank Dr. D. W. Martin of the National Physical Laboratory for his valuable  ... 
doi:10.1093/comjnl/6.3.271 fatcat:he7lvgwpp5hn7fonioq673ysum

Interval computations, rigour and non-rigour in deterministic continuous global optimization

Ralph Baker Kearfott
2011 Optimization Methods and Software  
guidance for research into and implementation of these techniques. (6) Provide some theoretical backing, with examples, for convergence of common relaxation techniques.  ...  Deterministic branch and bound methods for the solution of general nonlinear programs have become increasingly popular during the last decade or two, with increasing computer speed, algorithmic improvements  ...  Acknowledgements I wish to thank the referees, whose very careful reading and comments led to both significant clarification of the paper and avoidance of embarrassing errors.  ... 
doi:10.1080/10556781003636851 fatcat:hvktuh4z4jb2ncygpmxhu3t5fi

THE OVER-RELAXATION FACTOR IN THE NUMERICAL SOLUTION OF THE OMEGA EQUATION1

DAVID W. STUART, THOMAS H. R. O'NEILL
1967 Monthly Weather Review  
Results of tests for the optimum over-relaxation coefficients in the numerical relaxation of the omega equation we presented.  ...  A sharp cut-off is found to occur shortly after the optimum over-relaxation value is reached regardless of the number of dimensions of the equation or the size of the grid.  ...  In this note we present some results of tests for the optimum over-relaxation coefficients which are used in the numerical relaxation of the omega equation by the extrapolated Liebmann method.  ... 
doi:10.1175/1520-0493(1967)095<0303:torfit>2.3.co;2 fatcat:ykayffkefbgevldztw763bmlf4

Page 172 of Mathematical Reviews Vol. 26, Issue 1 [page]

1963 Mathematical Reviews  
A. M. Duguid (London) Kulsrud, H. E. 895 A practical technique for the determination of the optimum relaxation factor of the successive over- relaxation method. Comm. ACM 4 (1961), 184-187.  ...  The author suggests a new method for the practical determination of the optimum relaxation factor w», which is essential in efficient applications of the successive overrelaxation method.  ... 

The AGA two-sweep iterative methods for the solution of linear equation systems

Z.I. Woźnicki
1989 Linear Algebra and its Applications  
The effectiveness of the AGA single and double SOR two-sweep iterative methods depends on the selection of the relaxation factors a, but the determination of their optimum values which minimize the spectral  ...  The application of the double successive-over-relaxation process for the acceleration of inner-iteration convergence in the production codes HEXAGA-II [lo] and HEXAGA-III [ 111 proved to be highly effective  ... 
doi:10.1016/s0024-3795(16)30323-8 fatcat:noz6xcte5vfulgmb5j4ydd5cke

Traditional and Modern Means of Recovery in Sports: Survey on a Sample of Athletes

Sabău Elena, Niculescu Georgeta, Gevat Cecilia
2014 Procedia - Social and Behavioral Sciences  
One of the priorities in training is to ensure the complete recovery of the tired body. Recovery is a condition for success in sports achievements.  ...  Training in sports is a practical activity that requires a certain level of effort. Energy has various organi sources in accordance with the activities performed.  ...  Most of the athletes, no matter what sport they practice, are open and willing to try new methods and techniques of recovery.  ... 
doi:10.1016/j.sbspro.2014.02.252 fatcat:rzmiyxdxtzaufjf2orxurylosm

POPART - Performance Optimized Algebraic Reconstruction Technique

K. M. Hanson, T. Russell Hsing
1988 Visual Communications and Image Processing '88: Third in a Series  
This method is used to optimize the Algebraic Reconstruction Technique (ART), which reconstructs images from their projections, by varying the relaxation factor employed in the updating procedure.  ...  This method is used to optimize the Algebraic Reconstruction Technique (ART), which reconstructs images from their projections, by varying the relaxation factor employed in the updating procedure.  ...  The evaluation of task performance is based on an average over ten similar scenes. A* = X0 (r,)K-\ (3) The proper choice of the relaxation factor is the issue at hand.  ... 
doi:10.1117/12.968969 fatcat:ebaeh3wuxfe4zoydj6gb5lgevi

Re-establishing Physiologic Vertical Dimension for an Overclosed Patient

Derek Mahony
2014 Orthodontic Journal of Nepal  
By evaluating the patient for common signs and symptoms associated with overclosure, one can determine the need for re-establishing a physiologic vertical dimension.  ...  Opening of the bite can be accomplished in a number of ways by following specific guidelines.  ...  Within each method, however, the common basis for all muscle-oriented approaches involves first determining the resting length of the masticatory muscles.  ... 
doi:10.3126/ojn.v4i1.11313 fatcat:rvzvwgy3mvbenmdxydsnu7wmwa

Page 18 of Hydata Vol. 13, Issue 10 [page]

1977 Hydata  
to Determine the Optimum Successive Over- relaxation Factor.  ...  B G Tilak, Member and V R Siddhaye, Non-member Discussion on ‘Mechanics and Control of Rockfalls’ by Dr R K Bhandari and S C Sharma HYDROLOGY AND HYDRAULIC ENGINEERING GROUP UDC 624.131.6 A Practical Technique  ... 

Assessment of a non-adaptive deterministic global optimization algorithm for problems with low-dimensional non-convex subspaces

Ralph Baker Kearfott, Jessie M. Castille, Gaurav Tyagi
2013 Optimization Methods and Software  
The optimum and at least one optimizing point for convex nonlinear programs can be approximated well by the solution to a linear program (a fact long used in branch and bound algorithms).  ...  well by the solution of a single linear program.  ...  (Determine an upper bound on the optimum over the i-th subbox) Use a local optimizer with starting point the result of Step (2)e to compute an approximate optimum to the problem (1), subject to the parameters  ... 
doi:10.1080/10556788.2013.780058 fatcat:42t2giuedvfgjiq25pvc7akcie

A domain decomposition approach for coupled modelling of nonlinear soil–structure interaction

H. Zolghadr Jahromi, B.A. Izzuddin, L. Zdravkovic
2009 Computer Methods in Applied Mechanics and Engineering  
and accelerate convergence to compatibility in successive update of the boundary conditions.  ...  relaxation algorithms.  ...  Employing a relaxation scheme is one of the most common techniques used for successive update of the boundary conditions in iterative coupling algorithms.  ... 
doi:10.1016/j.cma.2009.03.018 fatcat:wxy3cvs34jdpbcx3fiwowpmihu

The sigma-SOR algorithm and the optimal strategy for the utilization of the SOR iterative method

Zbigniew I. Wo{źnicki
1994 Mathematics of Computation  
The paper describes, discusses, and numerically illustrates the method for obtaining a priori estimates of the optimum relaxation factor in the SOR iteration method.  ...  optimum relaxation factor during the course of the SOR solution.  ...  the a priori determination of the optimum relaxation factor tyopt • 2.  ... 
doi:10.1090/s0025-5718-1994-1212270-6 fatcat:otakrw6nrrbw5b3yiuinftxele

The Sigma-Sor Algorithm and the Optimal Strategy for the Utilization of the Sor Iterative Method

Zbigniew I. Woznicki
1994 Mathematics of Computation  
The paper describes, discusses, and numerically illustrates the method for obtaining a priori estimates of the optimum relaxation factor in the SOR iteration method.  ...  optimum relaxation factor during the course of the SOR solution.  ...  the a priori determination of the optimum relaxation factor tyopt • 2.  ... 
doi:10.2307/2153527 fatcat:xllcllhqava53mawda5diqolwi
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