Efficient FORTRAN implementation of the gaussian elimination and Householder reduction algorithms on the IBM 3090 vector multiprocessor
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 23 (1989) no. 1, p. 63-86
@article{M2AN_1989__23_1_63_0,
author = {Carnevali, P. and Radicati, G. and Robert, Y. and Sguazzero, P.},
title = {Efficient FORTRAN implementation of the gaussian elimination and Householder reduction algorithms on the IBM 3090 vector multiprocessor},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
publisher = {Dunod},
volume = {23},
number = {1},
year = {1989},
pages = {63-86},
zbl = {0671.65023},
language = {en},
url = {http://www.numdam.org/item/M2AN_1989__23_1_63_0}
}

Carnevali, P.; Radicati, G.; Robert, Y.; Sguazzero, P. Efficient FORTRAN implementation of the gaussian elimination and Householder reduction algorithms on the IBM 3090 vector multiprocessor. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 23 (1989) no. 1, pp. 63-86. http://www.numdam.org/item/M2AN_1989__23_1_63_0/

[BGH 86] M. Berry, K. Gallivan, W. Harrod, W. Jalby, S.Lo, U.Meier, B.Philippe and A. H.Sameh, Parallel algorithms on the CEDAR System, in CONPAR 86 (G. Goos and J. Hartmanis eds.) pp. 25-39, Lecture Notes in Computer Science 237, Springer Verlag (1986).

[BV 85] C. Bischoff and C. Van Loan, The WY représentationfor products of Householder matrices, Cornell University, Report DCS-85-681 (1985). | Zbl 0628.65033

[Buc 86] W. Buchholz, The IBM System/370 vector architecture, IBM Systems Journal 25, 1 (1986) pp. 51-62.

[CMRT 86] M. Cosnard, M. Marrakchi, Y. Robert and D. Trystram, Gaussian élimination algorithms for MIMD computers, in CONPAR 86 (G.Goos and J. Hartmanis eds.) pp. 247-254, Lecture Notes in Computer Science 237, Springer Verlag (1986). | Zbl 0608.65017

[DD 85] C. Daly and J. J. Ducroz, Performance of a subroutine library on vector processing machines, Computer Physics Communications 37 (1985) pp. 181-186. | MR 817064

[Don 84] J. J. Dongarra, Performance of various computers using Standard linear equations software in a Fortran environment, Argonne National Laboratory Report MCA-TM-23 (1984, updated December 1986).

[DE 84] J. J. Dongarraand S. C. Eisenstat, Squeezing the most out of an algorithm in Cray Fortran, ACM Trans. Math. Software 10, 3 (1984) pp. 221-230. | MR 791988

[DGK 84] J. J. Dongarra, F. G. Gustavson and A. Karp, Implementing linear algebra algorithms for dense matrices on a vector pipeline machine, SI AM Review 12, 1 (1984) pp. 91-112. | MR 735077 | Zbl 0539.65009

[DH 79] J. J. Dongarra and A. R. Hinds, Unrolling loops in Fortran, Software -Practice and Expérience 9 (1979) pp. 219-229. | Zbl 0393.68011

[DS 86] J. J. Dongarra and D. C. Sorensen, Linear algebra on high-performance computers, in Parallel Computing 85 (M. Feilmeier et al. eds.), pp. 221-230, Elsevier Science Publishers B. V. (1986). | MR 852444 | Zbl 0628.65016

[ESSL 86] Engineering and Scientific Subroutine Library, Order No. SC23-0184-0, available through IBM branch offices (1986).

[FORT 86] VS FORTRAN Version 2 Programming Guide (Release 1.1), Order No. SC26-4222-1, available through IBM branch offices (1986).

[GV 83] G. H. Golub and C. F. Van Loan, Matrix computations, The John Hopkins University Press (Baltimore, MA, 1983). | MR 733103 | Zbl 0559.65011

[LHKK 79] C. Lawson, R. Hanson, D. Kincaid and F. Krogh, Basic linear algebras subprograms for Fortran usage, ACM Trans. Math. Software 5 (1979)algebras subp pp. 308-371. | Zbl 0412.65022

[LKK 83] R. E. Lord, J. S. Kowalik and S. P. Kumar, Solving linear algebraic equations on an MIMD computer, J. ACM 30, 1 (1983) pp. 103-117. | MR 694482 | Zbl 0502.65017

[RS 86] Y. Robert and P. Sguazzero, The LU décomposition algorithm and its efficient FORTRAN implementation on the IBM 3090 vector multiprocessor, IBM ECSEC Technical Report (March 1987).

[Tuc 86] S. G. Tucker, The IBM 3090 system : an overview, IBM Systems Journal 25, 1 (1986) pp. 4-19.

[VECT 86] IBM System/370 Vector Opérations, Order No. SA22-7125-0, available through IBM branch offices (1986).