Serre’s Reduction of Linear Functional Systems
Serre’s Reduction of Linear Functional Systems
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DOI：
10.1007/s11786-010-0057-y
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发表时间：
2010-11
影响因子：
0.8
通讯作者：
M. S. Boudellioua;A. Quadrat
中科院分区：
文献类型：
--
作者：
M. S. Boudellioua;A. Quadrat
塞尔约化的目的是减少线性函数系统的未知数和方程的数目。找到包含较少方程和较少未知量的线性泛函系统的等价表示通常可以简化线性泛函系统的结构性质和不同数值分析问题的研究，有时还可以帮助解决线性泛函系统。本文的目的是提出一个建设性的方法来确定和欠定线性泛函系统的Serre约化。
Serre’s reduction aims at reducing the number of unknowns and equations of a linear functional system. Finding an equivalent presentation of a linear functional system containing fewer equations and fewer unknowns can generally simplify both the study of the structural properties of the linear functional system and of different numerical analysis issues, and it can sometimes help solving the linear functional system. The purpose of this paper is to present a constructive approach to Serre’s reduction for determined and underdetermined linear functional systems.