1) unitary symmetric matrix
酉对称矩阵
1.
Based on definition of orthogonal counterbalance, authors definite the unitary counterbalance of matrix and prove the unitary counterbalance properties of unitary symmetric matrix and it s mother matrix, obtain some results as the Moore-Penrose inverses of unitary symmetric matrices are unitary counterbalance if unitary symmetric matrices are unitary counterbalance.
该文讨论了酉对称矩阵QR分解中Q矩阵和R矩阵与母矩阵的Q矩阵和R矩阵之间的定量关系。
2) generalized row(column) unitary symmetric matrix
广义行(列)酉对称矩阵
1.
The full rank factorization and Moore-Penrose inverse for generalized row(column) unitary symmetric matrix
广义行(列)酉对称矩阵的满秩分解及其Moore-Penrose逆
3) general anti-symmetric unitary anti-symmetric matrix
广义反对称酉反对称矩阵
1.
By applying the properties of general anti-symmetric unitary anti-symmetric matrix and the theory of reflexive inverse of matrix,the sufficient conditions for the existence and the common expressions of general anti-symmetric unitary anti-symmetric solutions of matrix equation AX=C and the system are presented.
利用广义反对称酉反对称矩阵的性质和矩阵的自反逆的理论,得到了实四元数矩阵方程AX=C和矩阵方程组的广义反对称酉反对称解的存在条件及其通解表达式。
4) symmetric matrix
对称矩阵
1.
Determinant preserving maps on 2×2 and 3×3 symmetric matrix spaces;
三元域上2×2和3×3阶对称矩阵空间保行列式的映射
2.
The unique of inverse eigenvalue problem for a symmetric matrix;
一个对称矩阵特征值反问题的唯一性
3.
Various properties of symmetric matrix and anti-symmetric matrix;
对称矩阵和反对称矩阵的若干性质
5) symmetric matrices
对称矩阵
1.
Linear maps preserving group inverse of symmetric matrices over field;
域上保持对称矩阵群逆的线性算子
2.
Linear operator on group inverses of symmetric matrices over principal ideal domain;
主理想整环上保对称矩阵群逆的线性算子
3.
Rank-one nonincreasing additive mappings on symmetric matrices;
对称矩阵空间上秩1非增长的加法映射(英文)
6) symmetrical matrix
对称矩阵
1.
This paper presents the ARM parameter algorithm based on symmetrical matrix decomposability theory.
在分析AR模型的Y u le-W a lker方程和对称矩阵分解理论的基础上,提出基于对称矩阵分解理论的AM模型算法。
2.
Some characters of symmetrical matrix and the important conclusions are discussed and several convenient ways to the relevant studies of symmetrical matrix theories are offered.
讨论了有关对称矩阵的一些性质和定理,为以后研究对称矩阵的相关理论,提供了方便的途径。
3.
In this paper, we mainly discussed the relationship between the characteristic roots of two symmetrical matrix A\,B and AB=0 .
本文主要讨论对称矩阵 A、B的特征根与 AB=0的关系 。
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。
参考词条