منابع مشابه
Product of Four Hadamard Matrices
We prove that if there exist Hadamard matrices of order 4m, 4n, 4p, and 4q then there exists an Hadamard matrix of order 16mnpq. This improves and extends the known result of Agayan that there exists a Hadamard matrix of order 8mn if there exist Hadamard matrices of order 4m and 4n. Disciplines Physical Sciences and Mathematics Publication Details R. Craigen, Jennifer Seberry and Xian-Mo Zhang,...
متن کاملThe Product of Four Hadamard Matrices
We prove that if there exist Hadamard matrices of order 4m, 4n, 4p, 4q then there exists an Hadamard matrix of order 16mnpq. This improves and extends the known result of Agayan that there exists an Hadamard matrix of order 8mn if there exist Hadamard matrices of order 4m and 4n.
متن کاملSubordination Results Associated with Hadamard Product
In the present investigation, we consider an unified class of functions of complex order using Hadamard’s convolution. We obtain a necessary and sufficient condition for functions to be in these classes.
متن کاملHadamard Product of Certain Classes of Functions
In this paper we consider the Hadamard product ? of regular functions using the concept of subordination. Let P (A,B) denote the class of regular functions subordinated to the linear fractional transformation (1 +Az)/(1−Bz), where A+B 6= 0 and |B| ≤ 1. By P (A,B) ? P (C,D) we denote the set {f ? g : f ∈ P (A,B), g ∈ P (C,D)} . It is known ([3], [7]), that for some complex numbers A,B,C,D there ...
متن کاملOrthogonal arrays obtained by generalized Hadamard product
In this paper, by using the generalized Hadamard product and the orthogonal decomposition of projection matrix, we propose a new general approach to construct mixed-level orthogonal arrays. As an application of the method, some new mixed-level orthogonal array’s of run sizes 36 and 72 are constructed. c © 2001 Elsevier Science B.V. All rights reserved.
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1974
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1974.51.477