Revisiting the Adjoint Matrix for FPGA Calculating the Triangular Matrix Inversion
Revisiting the Adjoint Matrix for FPGA Calculating the Triangular Matrix Inversion
复制标题
重新审视 FPGA 的伴随矩阵 计算三角矩阵求逆
DOI：
10.1109/tcsii.2020.3034437
复制
发表时间：
2021-06
影响因子：
4.4
通讯作者：
Zhang Xiao-Wei
中科院分区：
文献类型：
--
作者：
Yan Di;Wang Wei-Xing;Zuo Lei;Zhang Xiao-Wei
Due to the robustness, the matrix inversion methods based on matrix factorization are often adopted in engineering while the triangular matrix inversion is one key part of those methods. This brief reviews the adjoint matrix and presents a novel scheme for field-programmable gate arrays (FPGAs) calculating the triangular matrix inversion. Employing the more characteristics of both the triangular matrix and its inversion, the proposed diagonal-wise algorithm for the triangular matrix inversion has the high parallelism and extensibility in the hardware implementation and is suitable for the different matrix triangular factorization (QR, LDL, Cholesky and LU). Meanwhile, the recursive diagonal-wise algorithm is designed for the large scale triangular matrices. Compared with the traditional row-/column-wise methods, our algorithm has a good performance at the low computation load. Finally, the experiments are conducted on one Xilinx Virtex-7 FPGA to illustrate the performances of the four different methods.
登录
查看更多内容
相关大规模 MIMO 系统的低复杂度、硬件友好的三对角矩阵求逆
影响因子：
6.8
作者：
Zhang Chuan;Liang Xiao;Wu Zhizhen;Wang Feng;Zhang Shunqing;Zhang Zaichen;You Xiaohu
通讯作者：
You Xiaohu
DOI：
10.1109/iscas.2009.5118029
发表时间：
2009-05
期刊：
2009 IEEE International Symposium on Circuits and Systems
影响因子：
--
作者：
Kuang-Hao Lin;Chih-Hung Lin;R. Chang;A. Huang;Feng-Chi Chen
通讯作者：
Kuang-Hao Lin;Chih-Hung Lin;R. Chang;A. Huang;Feng-Chi Chen
影响因子：
6.8
作者：
J. Jerez;P. Goulart;S. Richter;G. Constantinides;E. Kerrigan;M. Morari
通讯作者：
J. Jerez;P. Goulart;S. Richter;G. Constantinides;E. Kerrigan;M. Morari
DOI：
10.1109/tcsii.2003.821514
发表时间：
2004-01
期刊：
IEEE Transactions on Circuits and Systems II: Express Briefs
影响因子：
--
作者：
S. Chan;Xinxing Yang
通讯作者：
S. Chan;Xinxing Yang
DOI：
10.1109/tcsi.2010.2047744
发表时间：
2010-05
期刊：
IEEE Transactions on Circuits and Systems I: Regular Papers
影响因子：
--
作者：
R. Chang;Chih-Hung Lin;Kuang-Hao Lin;A. Huang;Feng-Chi Chen
通讯作者：
R. Chang;Chih-Hung Lin;Kuang-Hao Lin;A. Huang;Feng-Chi Chen