1) universe extended matrix
酉延拓矩阵
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) 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
4) generalized extended matrix
广义延拓矩阵
1.
The quantitative correspondence of the singular values and singular vectors between the generalized row or column symmetric matrix(namely,generalized extended matrix)and its original(a.
具有广义行或列对称性结构的矩阵(即广义延拓矩阵)的奇异值和奇异向量与原矩阵(母矩阵)的奇异值和奇异向量存在定量关系,从而对于广义延拓矩阵的奇异值分解,可利用母矩阵奇异值分解来实现。
5) unitary matrix
酉矩阵
1.
The application of unitary matrix in monitoring phased array antennas
酉矩阵在相控阵天线监测中的应用
2.
The properties of the unitary matrix for the localization of molecular orbitals were discussed.
讨论了分子轨道定域化酉矩阵的性质,揭示了其物理意义和统计性质。
3.
The key of this method is to spread a perfect sequence by correlation product of the shift sequences set of the perfect sequence and corresponding unitary matrix.
提出了一种由一个完备序列的移位序列集和酉矩阵构造零相关区序列集的方法。
6) unitary matrices
酉矩阵
1.
Based on perfect sequences and unitary matrices,this paper constructs a kind of hexa-phase ZCZ sequence and also improved the method,finally analyzes their correlation functions.
本文在最近提出的利用完备序列和酉矩阵构造 ZCZ 序列的基础上,构造了一六相的 ZCZ 序列,并将构造方法进行了扩展,并对其相关特性进行了分析。
补充资料：酉矩阵
酉矩阵
unitary matrix
酉矩阵(tlllitary帕tri又;yH“Tap“翻Ma印Itua} 复数域C上的方阵A二}“*日，它的所有行构成一个规范正交系，即 门对于j=k. a，1“*1+”‘+“!·厅*一}o对于、‘、·i，k二1，…，n.在酉空间〔四tarys琳ce)里，从一个规范正交基到另一个规范正交基的变换是由一个酉矩阵来实现的.酉变换(unitaryt~fonllatjon)关于一个规范正交基的矩阵也是(称为)一个酉矩阵.元素为复数的方阵A是酉的，当且仅当它满足下列条件之一: 1)通’通=￡; 2)A注‘=石: 3)A’二A一’; 4)A的所有列构成一个规范正交系(这里A‘是A的共扼转置矩阵). 酉矩阵的行列式是模为1的复数. 0 .A.HBaHoBa撰【补注】 【AI 1 Noll，W.，Finite dinr们sional sPaces，Nijhoff，1987， 63. IA21G把ub，W.，Lineara」geb用，Sp力nger，1975，329. 蒋滋梅译
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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