@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}, volume = {23}, year = {1989}, pages = {63-86}, zbl = {0671.65023}, language = {en}, url = {http://dml.mathdoc.fr/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, Tome 23 (1989) pp. 63-86. http://gdmltest.u-ga.fr/item/M2AN_1989__23_1_63_0/
[BGH 86] 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).
, , , , , , and ,[BV 85] The WY représentationfor products of Householder matrices, Cornell University, Report DCS-85-681 (1985). | Zbl 0628.65033
and ,[Buc 86] The IBM System/370 vector architecture, IBM Systems Journal 25, 1 (1986) pp. 51-62.
,[CMRT 86] 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
, , and ,[DD 85] Performance of a subroutine library on vector processing machines, Computer Physics Communications 37 (1985) pp. 181-186. | MR 817064
and ,[Don 84] 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] Squeezing the most out of an algorithm in Cray Fortran, ACM Trans. Math. Software 10, 3 (1984) pp. 221-230. | MR 791988
and ,[DGK 84] 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
, and ,[DH 79] Unrolling loops in Fortran, Software -Practice and Expérience 9 (1979) pp. 219-229. | Zbl 0393.68011
and ,[DS 86] 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
and ,[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] Matrix computations, The John Hopkins University Press (Baltimore, MA, 1983). | MR 733103 | Zbl 0559.65011
and ,[LHKK 79] Basic linear algebras subprograms for Fortran usage, ACM Trans. Math. Software 5 (1979)algebras subp pp. 308-371. | Zbl 0412.65022
, , and ,[LKK 83] Solving linear algebraic equations on an MIMD computer, J. ACM 30, 1 (1983) pp. 103-117. | MR 694482 | Zbl 0502.65017
, and ,[RS 86] The LU décomposition algorithm and its efficient FORTRAN implementation on the IBM 3090 vector multiprocessor, IBM ECSEC Technical Report (March 1987).
and ,[Tuc 86] 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).