一类o-对称矩阵的3种分解OA

Three Kinds of Decompositions for a Class of o-symmetry Matrix

中文摘要英文摘要

给出o-对称矩阵概念及结构,研究其中一类o-对称矩阵的LDU分解和Cholesky分解及三对角分解,给出了分解公式,得到一些新结果,据此可大大减少这类矩阵的LDU分解和Cholesky分解及三对角分解的计算量和存储量.

This paper gives concept and structure of decomposition and triple diagonal decomposition of a formula, and obtains some new conclusions, which can o-symmetry matrix, studies LDU decomposition, Cholesky class of o-symmetry matrix, proposes its decomposition largely reduce the calculation and storage quantity of the three kinds of decompositions of this class of matrix.

郭伟

重庆工商大学数学与统计学院,重庆400067

数学

o-对称矩阵LDU分解Cholesky分解三对角分解

o-symmetry matrixLDU decompositionCholesky decompositiontriple diagonal decomposition

《重庆工商大学学报:自然科学版》 2012 (8)

22-25,4

重庆市教委科技项目(KJ090729).

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