含有符号矩阵的Hadamard积的性质

给出了含符合矩阵的性质及数值特征．     

Some preserving subordination and superordination of analytic functions involving the Liu-Owa integral operator

In this paper, we obtain some subordination and superordination-preserving results of analytic functions involving the Liu-Owa integral operator. Sandwich-type result is also obtained.     

A simple multivariate ARCH model specified by random coefficients

This paper provides an alternative formulation of the conditional correlation structure in fitting the multivariate GARCH model. A special case is the multivariate ARCH model with random coefficients. Its coherence structure is derived by the correlations between the random coefficients which play an important role in describing the interested heteroscedastic features. The parameter estimation problem can be solved by maximum likelihood estimation and model selection is via the likelihood ratio test. We consider three real applications: (1) the spot and forward rates of the Deutsche Mark against the US dollars; (2) exchange rates of Deutsche Mark and Japanese Yen against US dollars; (3) the Heng Sang index and SES index.     

五对角逆M -矩阵的充分条件

通过矩阵分块的方法，探讨了五对角逆M-矩阵的结构，给出了五对角逆M-矩阵的充分条件，进一步证明了这类五对角矩阵在Hadamard积下的封闭性。     

DCN：双通道密集哈达玛卷积的画质评价网络

随着人类对高质量图像的需求日益紧迫，客观画质评价（image quality assessment，IQA）的研究日趋重要，其中的无参考真实失真评估，面临失真的复杂性和内容多样性的巨大挑战。为了获取更加准确有效的质量特征，提出了一种双通道密集哈达玛卷积的画质评价网络（dual-channel network，DCN），其以深度卷积模型Inception-ResNet-v2为骨干网络提取特征，将设计的双通道融合网络为分数评估网络，最后映射到客观质量分数。分数评估网络由卷积特征提取分支和多层感知机分支并联组成，将提出的密集哈达玛卷积模块（dense Hadamard product module，DHPM）应用到多层感知机分支中，通过哈达玛乘积将低层特征与高层特征融合，发挥特征自适应和高级表达的作用。在公开数据集KonIQ-10k上的实验结果表明，该网络测试的斯皮尔曼秩相关系数（spearman rankorder correlation coefficient，SROCC）为0.922，皮尔森线性相关系数（Pearson linear correlation coefficient，PLCC）达到0.938。     

Product of spaces of doubly periodic arrays

A characterization of the space generated by the Hadamard product of doubly periodic arrays is presented, and the results of Zierler and Mills are extended to higher dimensions.     

A note on commutative multivariate rational series

Direct arguments are presented showing that for rational series in several commuting variables, the rational series problem is undecidable, and closure under Hadamard product fails.     

Certain sufficient conditions for a subclass of analytic functions involving Hohlov operator

Making use of the Hohlov operator, the authors obtain inclusion relations between the classes of certain normalized analytic functions. Relevant connections of our work with the earlier works are pointed out.     

Necessary conditions for Hadamard factorizations of Hurwitz polynomials

A property of Hurwitz polynomials is related with the Hadamard product. Garloff and Wagner proved that Hadamard products of Hurwitz polynomials are Hurwitz polynomials, and Garloff and Shrinivasan shown that there are Hurwitz polynomials of degree 4 which do not have a Hadamard factorization into two Hurwitz polynomials of the same degree 4. In this paper, we give necessary conditions for an even-degree Hurwitz polynomial to have a Hadamard factorization into two even-degree Hurwitz polynomials; such conditions are given in terms of the coefficients of the given polynomial alone. Furthermore, we show that if an odd-degree Hurwitz polynomial has a Hadamard factorization then a system of nonlinear inequalities has at least one solution.     

特殊矩阵的几种性质

首先给出两个矩阵A,B的Hadamard乘积的定义,然后给出M-矩阵在Hadamard积下的几个运算性质,运用矩阵Hadamard乘积及特殊矩阵理论,将M-矩阵在Hadamard积下的若干性质,推广到其他类型的特殊矩阵上。获得了M-矩阵,L-矩阵,H-矩阵和Hermitie-矩阵的几种特征值(q(A),l(A),λ(A))的不等式,以及谱半径ρ(A)、矩阵迹tr(A)满足的几个不等式性质。