SOLUTION OF EQUILIBRIUM EQUATIONS IN THE FORCE METHOD - A COMPACT BAND SCHEME FOR UNDERDETERMINED LINEAR-SYSTEMS

被引:10
作者
PELLEGRINO, S
VANHEERDEN, T
机构
[1] Cambridge University Engineering Department, Cambridge, CB2 1PZ, Trumpington Street
关键词
D O I
10.1016/0045-7949(90)90103-9
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper presents a compact storage scheme for the (rectangular) equilibrium matrix of a general structural assembly, and a simple yet efficient algorithm for solving the system of equilibrium equations without ever exceeding the number of coefficients stored at the beginning. An implementation of the algorithm, written in C, is given in the Appendix.
引用
收藏
页码:743 / 751
页数:9
相关论文
共 50 条
[21]   A PARALLEL ELIMINATION METHOD FOR THE SOLUTION OF BANDED LINEAR-SYSTEMS [J].
CHAWLA, MM ;
PASSI, K .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1994, 50 (3-4) :197-201
[22]   Sparse Solution of Underdetermined Systems of Linear Equations by Stagewise Orthogonal Matching Pursuit [J].
Donoho, David L. ;
Tsaig, Yaakov ;
Drori, Iddo ;
Starck, Jean-Luc .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2012, 58 (02) :1094-1121
[23]   Iteratively weighted thresholding homotopy method for the sparse solution of underdetermined linear equations [J].
Wenxing Zhu ;
Zilin Huang ;
Jianli Chen ;
Zheng Peng .
ScienceChina(Mathematics), 2021, 64 (03) :639-664
[24]   Iteratively weighted thresholding homotopy method for the sparse solution of underdetermined linear equations [J].
Zhu, Wenxing ;
Huang, Zilin ;
Chen, Jianli ;
Peng, Zheng .
SCIENCE CHINA-MATHEMATICS, 2021, 64 (03) :639-664
[25]   Sparse nonnegative solution of underdetermined linear equations by linear programming [J].
Donoho, DL ;
Tanner, J .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2005, 102 (27) :9446-9451
[26]   A PROJECTION METHOD FOR THE NUMERICAL-SOLUTION OF LINEAR-SYSTEMS IN SEPARABLE STIFF DIFFERENTIAL-EQUATIONS [J].
LOPEZ, L ;
TRIGIANTE, D .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1989, 30 (3-4) :191-206
[27]   Iteratively weighted thresholding homotopy method for the sparse solution of underdetermined linear equations [J].
Wenxing Zhu ;
Zilin Huang ;
Jianli Chen ;
Zheng Peng .
Science China Mathematics, 2021, 64 :639-664
[28]   EXPONENTIAL SOLUTION OF LINEAR-SYSTEMS [J].
NARRAWAY, JJ .
IEEE TRANSACTIONS ON CIRCUIT THEORY, 1972, CT19 (04) :367-&
[29]   ON THE SOLUTION OF CIRCULANT LINEAR-SYSTEMS [J].
CHEN, MK .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1987, 24 (03) :668-683
[30]   ON THE SOLUTION OF INTERVAL LINEAR-SYSTEMS [J].
RUMP, SM .
COMPUTING, 1992, 47 (3-4) :337-353