Academic
Publications
Extrapolation and Convergence Criteria with Jacobi and Gauss-Seidel Iteration in Animal Models

Extrapolation and Convergence Criteria with Jacobi and Gauss-Seidel Iteration in Animal Models,10.3168/jds.S0022-0302(87)80327-2,Journal of Dairy Scie

Extrapolation and Convergence Criteria with Jacobi and Gauss-Seidel Iteration in Animal Models   (Citations: 6)
BibTex | RIS | RefWorks Download
A population of individuals was simu- lated to study convergence rate of an iterative method, a mix of Gauss-Seidel and second-order Jacobi, for solving mixed model equations for an animal model. The solutions drifted for many iterations and their accuracy for con- verged solutions was far from that sug- gested by criteria such as the difference between right-hand and left-hand sides or a modified difference between consecu- tive solutions. The drift in later rounds of iteration closely followed a geometric progression, and formulas were derived for estimating: 1) the true solutions via exponential extrapolation, 2) relation- ships between various convergence cri- teria, and 3) number of rounds needed to increase the accuracy of solutions by an arbitrarily specified factor. A range of relaxation factors was studied. The accu- racy of solutions was very sensitive to the value of this factor in the absence of extrapolation. The optimal relaxation factor was lower when solutions were extrapolated, but its value was not as critical in this case.
Journal: Journal of Dairy Science - J DAIRY SCI , vol. 70, no. 12, pp. 2577-2584, 1987
Cumulative Annual
View Publication
The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
Sort by: