Applied Iterative Methods (Computer Science and Applied by Louis A. Hageman, David M. Young

By Louis A. Hageman, David M. Young

This graduate-level textual content examines the sensible use of iterative tools in fixing huge, sparse structures of linear algebraic equations and in resolving multidimensional boundary-value difficulties. issues contain polynomial acceleration of simple iterative equipment, Chebyshev and conjugate gradient acceleration strategies appropriate to partitioning the linear approach right into a “red/black” block shape, extra. 1981 ed. comprises forty eight figures and 35 tables.

Show description

Read Online or Download Applied Iterative Methods (Computer Science and Applied Mathematics) PDF

Similar applied books

Millimeter and Submillimeter Wave Spectroscopy of Solids (Topics in Applied Physics 74)

Millimeter and Submillimeter Wave Spectroscopy of Solids makes a speciality of the experimental equipment and up to date experimental effects that are at present hired within the millimeter wave spectral variety. Time dome, Fourier remodel, coherent resource and resonant suggestions are mentioned by way of best specialists within the box.

Parallel Processing and Applied Mathematics: 9th International Conference, PPAM 2011, Torun, Poland, September 11-14, 2011. Revised Selected Papers, Part I

This two-volume-set (LNCS 7203 and 7204) constitutes the refereed court cases of the ninth foreign convention on Parallel Processing and utilized arithmetic, PPAM 2011, held in Torun, Poland, in September 2011. The a hundred thirty revised complete papers provided in either volumes have been conscientiously reviewed and chosen from various submissions.

BTEC National for IT Practitioners : core and specialists units for the IT and business pathway

BTEC nationwide for IT Practitioners: enterprise devices has been written in particular to hide the company pathway of the BTEC nationwide necessities. This ebook caters for some of the most renowned pathways within the BTEC nationwide standards, bringing jointly all of the key expert devices for college kids who've selected the enterprise course, together with the middle devices particular to this pathway that are not coated within the middle unit publication.

Studies on Atherosclerosis

This quantity explores the position loose radicals and antioxidants in the improvement of vascular affliction, interpreting basic learn and translating preclinical wisdom to scientific trials. The expertly authored chapters describe the connection of oxidative tension to atherosclerosis and the cardiovascular procedure, exploring its position in cardiac fibrosis, renovascular illness, high blood pressure, and legislation of blood strain and cerebral vascular tone.

Additional resources for Applied Iterative Methods (Computer Science and Applied Mathematics)

Example text

With OJ = 1, the SOR method reduces to the Gauss-Seidel method. If OJ > 1 or OJ < 1, we have overrelaxation or underrelaxation, respectively. We shall be concerned only with overre1axation. 13). 34) becomes Du(n+l) = OJ(C L u(n+ ll + Cuu(n) + b) + (1 - OJ)Du(n). 3 29 EXAMPLES OF BASIC ITERATIVE METHODS where 2 == (1 - WL)-l(WU + (1 - w)I) and ro k~) == (1 - WL)-l WD- 1 b. 30). The matrix 2 ro is called the SOR iteration matrix. The splitting matrix for the SOR method is (w- 1 D - C L ), which, as in the case of the Gauss-Seidel method, is not SPD.

2) can be solved for /;(n), then we immediately have the solution u = u(n) - /;(n). 2) for /;(n) as it is to solve Au = b for U. On the other hand, it is not always necessary to determine /;(n) with great precision to improve the accuracy of u(n). 1), using u(O) as the initial guess. 2), and set u(O) = U(L) - 8(L). Then go to step (1) again. There are many ways to obtain the approximation 8(L). , see Nicolaides [1975, 1977J and Hackbusch [1977J). Another approach is to obtain the approximation elL) using the method of weighted residuals.

1) n 2:: 1.

Download PDF sample

Applied Iterative Methods (Computer Science and Applied by Louis A. Hageman, David M. Young
Rated 4.25 of 5 – based on 43 votes