FPGA Implementation of the Conjugate Gradient Method Export

@incollection{citeulike:4415445, abstract = {The rational fraction number system is proposed to solve the algebraic problems in FPGA devices. The fraction number consists of the n-bit integer numerator and the n -bit integer denominator, and can represent numbers with 2n bit mantissa. Experimental linear equation system solver was developed in FPGA device, which implements the recursive conjugate gradient method. Its hardware arithmetic unit can calculate addition, multiplication, and division of fraction numbers with n=35 in a pipelined mode. The proposed unit operates with the band matrices with the dimensions up to 3500.}, author = {Maslennikow, Oleg and Lepekha, Volodymyr and Sergyienko, Anatoli}, citeulike-article-id = {4415445}, citeulike-linkout-0 = {http://dx.doi.org/10.1007/11752578_63}, citeulike-linkout-1 = {http://www.springerlink.com/content/y3223k3650553466}, doi = {10.1007/11752578_63}, journal = {Parallel Processing and Applied Mathematics}, keywords = {fixedpoint, fpgasupercomputing, linear\_algebra, matrix}, pages = {526--533}, posted-at = {2009-04-28 15:58:38}, priority = {2}, title = {FPGA Implementation of the Conjugate Gradient Method}, url = {http://dx.doi.org/10.1007/11752578_63}, year = {2006} }

TY - CHAP ID - citeulike:4415445 L3 - citeulike-article-id:4415445 N2 - The rational fraction number system is proposed to solve the algebraic problems in FPGA devices. The fraction number consists of the n-bit integer numerator and the n -bit integer denominator, and can represent numbers with 2n bit mantissa. Experimental linear equation system solver was developed in FPGA device, which implements the recursive conjugate gradient method. Its hardware arithmetic unit can calculate addition, multiplication, and division of fraction numbers with n=35 in a pipelined mode. The proposed unit operates with the band matrices with the dimensions up to 3500. JF - Parallel Processing and Applied Mathematics EP - 533 TI - FPGA Implementation of the Conjugate Gradient Method SP - 526 KW - fixedpoint KW - fpgasupercomputing KW - linear_algebra KW - matrix AU - Maslennikow, Oleg AU - Lepekha, Volodymyr AU - Sergyienko, Anatoli PY - 2006/// UR - http://dx.doi.org/10.1007/11752578_63 ER -