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1)  extensional matrices
延续矩阵
1.
By means of this method a series of extensional matrices may be obtained.
利用这种扩大法可以得到一系列延续矩阵
2)  extended matrix
延拓矩阵
1.
In this paper,based on the ordinary singular value decomposition,a quantitative correspondence of the singular values and singular vectors between the row or column symmetric matrix (namely,the extended matrix) and its original (a k a mother matrix) is derived,and the perturbation analysis for the extended matrix is provided accordingly.
本文从普通奇异值分解出发 ,导出了具有行或列对称结构的矩阵 (即延拓矩阵 )的奇异值和奇异向量与原矩阵 (亦称母矩阵 )的奇异值和奇异向量的定量关系 ,并对延拓矩阵进行了简单的扰动分析 。
2.
When the extended matrix Rk(A) is not equal to its perturbation matrix R~k(A),the perturbation bounds under additvie perburtation and multiplicatvie perturbation are deducted,by means of singualr value decomposition,the decomposited subunitary facotrs of the extended matrix Rk(A),and its perturbation matrix R~k(A) in generalized polar decomposition under Frobenius norms.
延拓矩阵Rk(A)与其扰动矩阵R~k(A)的秩不相等时,利用奇异值分解的方法和在Frobenius范数下,对延拓矩阵Rk(A)与其扰动矩阵R~k(A)在广义极分解中的次酉因子,首次导出了在加法扰动下的扰动界和乘法扰动下的扰动界。
3)  Extrapolation matrix
外延矩阵
4)  universe extended matrix
酉延拓矩阵
5)  time lagged matrix
时间延迟矩阵
6)  weighted extended matrix
加权延拓矩阵
1.
Kronecker product and singular value decomposition of weighted extended matrix;
Kronecker积与加权延拓矩阵的奇异值分解
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