摘要
从性质C1/2C1/2=C出发,在不求过渡矩阵的前提下,利用Sherman-Morrison公式得到了非负定矩阵A=aaT+bbT的平方根表示,进而解决了一类特殊矩阵方程X2=A的求解问题.其中a,b是Rn中的n维非零列向量.
From the property of C^1/2C^1/2=C,representation of square root of a non-negative definite matrix A=aa^T＋bb^T was given by using the Sherman-Morrison formula,which will avoid the computation of the transfer matrix.So the computational problem on special matrix X^2=A was solved,where a and b are none-zero column vectors in Rn.
出处
《河南科学》
2010年第8期914-916,共3页
Henan Science
基金
新疆维吾尔自治区高校科研计划重点项目(XJEDU2008I31)
关键词
对角矩阵
矩阵的平方根
非负定矩阵
symmetric matrix
square root of a matrix
nonnegative definite matrix
