| Title:
|
Nonlinear iterative methods and parallel computation (English) |
| Author:
|
Sloboda, Fridrich |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
21 |
| Issue:
|
4 |
| Year:
|
1976 |
| Pages:
|
252-262 |
| Summary lang:
|
English |
| Summary lang:
|
Slovak |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
Nonlinear iterative methods are investigated and a generalization of a direct method for linear systems is presented which is suitable for parallel computation and for sparse occurrence matrices. () |
| MSC:
|
65H10 |
| MSC:
|
65K05 |
| MSC:
|
90C30 |
| idZBL:
|
Zbl 0356.65057 |
| idMR:
|
MR0426411 |
| DOI:
|
10.21136/AM.1976.103645 |
| . |
| Date available:
|
2008-05-20T18:05:03Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103645 |
| . |
| Reference:
|
[1] J. M. Ortega W. C. Rheinboldt: Iterative solution of nonlinear equations in several variables.AP, New York, 1970. MR 0273810 |
| Reference:
|
[2] M. J. D. Powell: A survey of numerical methods for unconstrained optimization.SIAM Review, 1 (1970), 79-97. Zbl 0218.90059, MR 0258253, 10.1137/1012004 |
| Reference:
|
[3] D. Chazan W. Miranker: A nongradient and parallel algorithm for unconstrained minimization.SIAM J. Control, 2 (1970), 207-217. MR 0275637 |
| Reference:
|
[4] D. M. Himmelblau: Decomposition of large-scale problems.North-Holl. publ. соmр., New York, 1973. Zbl 0254.90002, MR 0456435 |
| Reference:
|
[5] R. M. Karp W. L. Miranker: Parallel minimax search for a maximum.J. of Combinatioral Theory, 1 (1968), 19-35. MR 0220434 |
| Reference:
|
[6] R. P. Brent: Algorithms for minimization without derivatives.Prentice-Hall, Englewood Cliffs, New Jersey, 1973. Zbl 0245.65032, MR 0339493 |
| Reference:
|
[7] W. I. Zangwill: Minimizing a function without calculating derivatives.Соmр. J., 7 (1967), 293-296. Zbl 0189.48004, MR 0234614 |
| Reference:
|
[8] M. J. D. Powell: An efficient method for finding minimum of a function of several variables without calculating derivatives.Compt. J., 7 (1964), 155- 162. MR 0187376, 10.1093/comjnl/7.2.155 |
| Reference:
|
[9] H. T. Kung J. F. Traub: On the efficiency of parallel iterative algorithms for non-linear equations.Symposium on complexity of sequential and parallel numerical algorithms, Cornegie-Mellon University, 1973. MR 0353717 |
| Reference:
|
[10] W. Miranker: Parallel methods for approximating the root of a function.IBM J. of Research and Development, vol. 13, 1967, 297-301. MR 0239752, 10.1147/rd.133.0297 |
| Reference:
|
[11] S. Winograd: Parallel iteration methods, Complexity of computer computations.R. E. Miller and J. W. Thatcher, Plenum Press, New York, 1972, 53 - 60. MR 0383833 |
| Reference:
|
[12] N. Anderson A. Brörck: A new high order method of regula falsi type for computing a root of an equation.BIT, 13 (1973), 253-264. MR 0339474, 10.1007/BF01951936 |
| Reference:
|
[13] F. Sloboda: A parallel projection method for linear algebraic systems.to appear. Zbl 0398.65013, MR 0490260 |
| Reference:
|
[14] F. Sloboda: Parallel method of conjugate directions for minimization.Apl. mat. 6 (1975), 436-446. Zbl 0326.90050, MR 0395830 |
| . |
