SOLVING THE GENERAL LINEAR-MODEL ON A SIMD ARRAY PROCESSOR

被引:0
作者
KONTOGHIORGHES, EJ [1 ]
机构
[1] CITY UNIV LONDON, SCH BUSINESS, CTR INSURANCE & INVEST, BARBICAN CTR, LONDON EC2Y 8HB, ENGLAND
来源
COMPUTERS AND ARTIFICIAL INTELLIGENCE | 1995年 / 14卷 / 04期
关键词
GENERAL LINEAR MODELS; GIVENS ROTATIONS; HOUSEHOLDER TRANSFORMATIONS; SIMD ARRAY PROCESSOR;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Two parallel algorithms are proposed for the solution of the General Linear Model on a SIMD array processor. The first algorithm employs efficiently compound Givens rotations while the second algorithm uses Householder transformations. The implementation of the two algorithms on the 1024 processor AMT DAP-510 is described and their performance analysed using high accurate execution time models. No single algorithm is superior in all the ranges examined and the best choice depends on the problem size and the number of processing elements available.
引用
收藏
页码:353 / 370
页数:18
相关论文
共 28 条
[1]   THE WY REPRESENTATION FOR PRODUCTS OF HOUSEHOLDER MATRICES [J].
BISCHOF, C ;
VANLOAN, C .
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1987, 8 (01) :S2-S13
[2]  
Bj┬u├erck ┬u├a., 1967, BIT, V7, P322, DOI 10.1007/BF01939326
[3]   IMPLEMENTATION OF QR FACTORIZATION ON THE DAP USING HOUSEHOLDER TRANSFORMATIONS [J].
BOWGEN, GSJ ;
MODI, JJ .
COMPUTER PHYSICS COMMUNICATIONS, 1985, 37 (1-3) :167-170
[4]  
BUSINGER P. A., 1965, NUMER MATH, V7, P269, DOI DOI 10.1007/BF01436084
[5]  
COSNARD M, 1986, NUMER MATH, V48, P239, DOI 10.1007/BF01389871
[6]  
COSNARD M, 1988, PARALLEL COMPUTING M, P91
[7]   IMPLEMENTATION OF SOME CONCURRENT ALGORITHMS FOR MATRIX FACTORIZATION [J].
DONGARRA, JJ ;
SAMEH, AH ;
SORENSEN, DC .
PARALLEL COMPUTING, 1986, 3 (01) :25-34
[8]  
FAREBROTHER RW, 1988, STATISTICS TXB MONOG, V91
[9]  
Freeman T.L., 1992, PARALLEL NUMERICAL A
[10]  
Golub G.H., 1983, MATRIX COMPUTATIONS