Nonlinear iterative methods and parallel computation

Fridrich Sloboda

Aplikace matematiky (1976)

  • Volume: 21, Issue: 4, page 252-262
  • ISSN: 0862-7940

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Sloboda, Fridrich. "Nonlinear iterative methods and parallel computation." Aplikace matematiky 21.4 (1976): 252-262. <http://eudml.org/doc/14963>.

@article{Sloboda1976,
author = {Sloboda, Fridrich},
journal = {Aplikace matematiky},
language = {eng},
number = {4},
pages = {252-262},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Nonlinear iterative methods and parallel computation},
url = {http://eudml.org/doc/14963},
volume = {21},
year = {1976},
}

TY - JOUR
AU - Sloboda, Fridrich
TI - Nonlinear iterative methods and parallel computation
JO - Aplikace matematiky
PY - 1976
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 21
IS - 4
SP - 252
EP - 262
LA - eng
UR - http://eudml.org/doc/14963
ER -

References

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  1. J. M. Ortega W. C. Rheinboldt, Iterative solution of nonlinear equations in several variables, AP, New York, 1970. (1970) MR0273810
  2. M. J. D. Powell, 10.1137/1012004, SIAM Review, 1 (1970), 79-97. (1970) Zbl0218.90059MR0258253DOI10.1137/1012004
  3. D. Chazan W. Miranker, A nongradient and parallel algorithm for unconstrained minimization, SIAM J. Control, 2 (1970), 207-217. (1970) MR0275637
  4. D. M. Himmelblau, Decomposition of large-scale problems, North-Holl. publ. соmр., New York, 1973. (1973) Zbl0254.90002MR0456435
  5. R. M. Karp W. L. Miranker, Parallel minimax search for a maximum, J. of Combinatioral Theory, 1 (1968), 19-35. (1968) MR0220434
  6. R. P. Brent, Algorithms for minimization without derivatives, Prentice-Hall, Englewood Cliffs, New Jersey, 1973. (1973) Zbl0245.65032MR0339493
  7. W. I. Zangwill, Minimizing a function without calculating derivatives, Соmр. J., 7 (1967), 293-296. (1967) Zbl0189.48004MR0234614
  8. M. J. D. Powell, 10.1093/comjnl/7.2.155, Compt. J., 7 (1964), 155- 162. (1964) MR0187376DOI10.1093/comjnl/7.2.155
  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. (1973) MR0353717
  10. W. Miranker, 10.1147/rd.133.0297, IBM J. of Research and Development, vol. 13, 1967, 297-301. (1967) MR0239752DOI10.1147/rd.133.0297
  11. S. Winograd, Parallel iteration methods, Complexity of computer computations, R. E. Miller and J. W. Thatcher, Plenum Press, New York, 1972, 53 - 60. (1972) MR0383833
  12. N. Anderson A. Brörck, 10.1007/BF01951936, BIT, 13 (1973), 253-264. (1973) MR0339474DOI10.1007/BF01951936
  13. F. Sloboda, A parallel projection method for linear algebraic systems, to appear. Zbl0398.65013MR0490260
  14. F. Sloboda, Parallel method of conjugate directions for minimization, Apl. mat. 6 (1975), 436-446. (1975) Zbl0326.90050MR0395830

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