bicharacteristics

The paper has discussed such problims as the properties of sub-eigenvalue and sub-eigenvector of real-anti-sub-symmetric matrix,and its diagonalization.

讨论了实反次对称矩阵的次特征值与次特征向量的性质及实反次对称矩阵的对角化问题。

An algorithm to recognize unconstrained handwritten numerals based on centroid layer feature is proposed in this paper.

采用了基于字符质心的层次特征对无约束手写体数字进行分类识别。

Some main properties of sub-characteristic value of general real matrix are given,and sub-characteristic value of(anti) asymmetric matrix,(anti) sub-symmetric matrix,sub-orthogonal matrix,involutary matrix and idempotent matrix is studied.

给出了一般实方阵次特征值的一些主要性质,并对(反)对称阵、(反)次对称阵、次正交矩阵,以及对合矩阵与幂等矩阵的次特征值的取值情况进行了研究,得到了一些新结果。

This paper includes theorems such as the one that the real parts of the sub-characteristic values belonged to an n-square metapositive definite complex matrix are positive,and that if JA is a normal composite matrix,then A is a metapositive definite complex matrix if and only if the real part of the sub-characteristic value belonged to A is real.

研究了复矩阵的次正定性的性质和一系列充分必要条件,得到了“n阶次正定复矩阵的次特征值实部为正”与“当JA为复正规矩阵时,A是次正定复矩阵的充分必要条件是A的次特征值实部为正”等结论;讨论并给出了矩阵乘积是次正定复矩阵的充分和充要条件;得到了与著名的Ostrowski-Taussky不等式、Hadamard不等式、Oppenhein不等式等相应的重要结果。

It was proved that the real parts of the sub-characteristic values of an n-order metapositive semi-definite matrix are positive and,when JA is a normal real matrix,then A is a metapositive semi-definite matrix if and only if the real part of the sub-characteristic value of A is real.

研究了次亚正定矩阵的性质和一系列充分必要条件,主要得到了2 个结论:(1) n阶次亚正定矩阵的次特征值实部为正;(2) 当JA为实正规矩阵时,A是次亚正定矩阵的充分必要条件是A 的次特征值实部为正。

This paper discusses inverse problems of secondary eigenvalue for anti-skew-symmetric matrices on a linear manifold.

讨论了线性流形上次反对称矩阵的次特征值的反问题,给出了解存在的条件,并给出了解的通式。