Sylvester Hadamard matrixBoolean functionsSteiner systemIn this paper, the eigenvalues of row-inverted 2 n ×2 n Sylvester Hadamard matrices are derived. Especially when the sign of a single row or two rows of a 2 n ×2 n Sylvester Hadamard matrix are inverted, its eigenvalues are completely ...
The spectrum of a matrixA∈Cn×nis denoted byΛ(A)⊆C. A matrix is called stable if its spectrum is contained in the left open half planeC−. The Frobenius inner product onCn×mis given by⟨A,B⟩F:=∑i=1n∑j=1mAi,jBi,j¯. The Hadamard product isA⊙B=(Ai,j⋅Bi,j)i...
5. F-矩阵的性质与Hadamard不等式等号成立的条件 [J] . 赵建中 . 皖西学院学报 . 2011,第002期 6. 基于线性矩阵不等式的永磁直线同步电机的滑模控制 [C] . 齐俊鹏 ,王丽梅 . 第十三届沈阳科学学术年会 . 2016 7. 矩阵Frobenius范数不等式及次可加性研究 [A] . 石聪聪 . 2016 相关主题 MapReduc...
Let A and B be $n imes n$ positive semidefinite Hermitian matrices, let $\\\alpha $ and $\\\beta $ be real numbers, let $ \\\circ $ denote the Hadamard ... BY Wang,F Zhang - 《Siam Journal on Matrix Analysis & Applications》 被引量: 84发表: 1995年 Inequalities and equalities...
It is well-known that the evaluation of the permanent of an arbitrary$(-1,1)$-matrix is a formidable problem. Ryser's formula is one of the fastestknown general algorithms for computing permanents. In this paper, Ryser'sformula has been rewritten for the special case of Sylvester Hadamard...
In this work we revisited some properties of Sylvester Hadamard matrices of order 2k. Based only on the existence of a base from which any Sylvester Hadamard matrix can be constructed, we prove that their rows (columns) are closed under addition and that the numbers of sign interchanges along...
Sylvester Hadamard matrix constructionlow correlation zone sequencesimplex codeIn this paper, we are concerned with Hadamard matrices with a certain noncyclic property. First we show that when the first column of a Sylvester Hadamard matrix of order $2^m,$ $mge 2$, a positive integer, is ...
Generalized Hadamard matrixAutomorphism groupCocyclic developmentWe examine the cocyclic development of the generalized Sylvester (also called Drake) Hadamard matrix. In particular, we give detailed results about the permutation automorphism group and full automorphism group. Following on from this, we ...
Sylvester matrix equationLyapunov matrix equationidentificationestimationleast squaresJacobi iterationGauss-Seidel iterationHadamard productstar producthierarchical identification principleIn this paper, we present a general family of iterative methods to solve linear equations, which includes the well-known Jacobi ...
We will be concerned with a particular form of the Hadamard matrix of rank 2n . This form is produced using a recursive Kronecker product. Specifically, the Hadamard matrix of interest is designated a Sylvester-Hadamard Matrix after Sylvester (1867), denoted as H n and created by $${H_n}...