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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:

2010年04期

Page:

19-22

Research Field:

数学

Publishing date:

Info

Title:

An Iterative Algorithm for Solving Matrix Equations With Submatrix Constraints

Author(s):

Nong Liwei¹; Chen Puyin²

1.Department of Mathematics,Nanning Prefecture’s Educational College,Nanning 530001,China 2. Departm ent ofM ethem at ics, Shanghai J iaotong Un ivers ity, Shanghai 200240, Ch in a

Keywords:

iterativ e algorithm s;  m atr ix equations;  least-squares so lutions;  the best approx im ation

PACS:

O151.21

DOI:

-

Abstract:

By use of the abstract a lgor ithm and theoretica l analysis in [ 1] for so lv ing a finite-d imensional ope rato r equation, this pape r proposes an iterativ e a lgor ithm s for getting the skew- symm etr ic least-squares so lution and the best approx im ation solution of the ma tr ix equation AXB = C w ith a subm atrix constrain t. The convergence ana lys is of the algorithm is presented and several num er ica l examp les are reported to illustra te its compu tational pe rfo rm ance.

References:

[ 1] H uang J, Nong L. An itera tive a lgor ithm for so lv ing a fin ite-dim ens iona l linear ope rato r equa tion T ( x ) = f w ith app lications [ J] . L inearA lgeb ra and Its Applica tions, 2010, 432( 5): 1 176-1 188.
[ 2] 龚丽莎, 胡锡炎, 张磊. 主子阵约束下矩阵方程AX = B 的对称最小二乘解[ J]. 数值计算与计算机应用, 2006, 27 ( 2): 154-160.
[ 3] 彭振赟, 胡锡炎, 张磊. 双对称矩阵的一类反问题[ J]. 计算数学, 2005, 27( 1): 11-18.
[ 4] 戴华. 对称正交对称矩阵反问题的最小二乘解[ J] . 计算数学, 2003, 25( 1): 59-66.
[ 5] Peng Z, Peng Y. An e fficient itera tivem e thod for so lv ing the m atr ix equation[ J]. Num er ica l L inea rA lgebraW ith App lications, 2006, 13( 6): 473-485.
[ 6] Peng Z. An itera tivem e thod for the least squares symm e tric so lution o f the linearm atrix equa tion[ J]. App liedM athem atics and Com putation, 2005, 170( 1) : 711-723.

Memo

Memo:

-

Common functions

Last Update: 2013-04-08