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We construct two Hadamard matrices of order 764. Both are of Goethals-Seidel type.

组合数学 · 数学 2009-03-18 Dragomir Z. Djokovic

In this note, we investigate estimates of the Morse index for F-harmonic maps into spheres, our results extend partially those obtained in ([14]) and ([15]) for harmonic and p-harmonic maps.

微分几何 · 数学 2012-10-02 Mohammed Benalili , Hafida Benallal

This paper investigates prime and co-prime integer matrices and their properties. It characterizes all pairwise co-prime integer matrices that are also prime integer matrices. This provides a simple way to construct families of pairwise…

信号处理 · 电气工程与系统科学 2025-07-25 Xiang-Gen Xia , Guangpu Guo

In this paper we establish some new inequalities of Hadamard-type for product of convex and s-convex functions in the second sense.

经典分析与常微分方程 · 数学 2012-02-13 Mevlut Tunc

In a recent paper a class of infinite Jacobi matrices with discrete character of spectra has been introduced. With each Jacobi matrix from this class an analytic function is associated, called the characteristic function, whose zero set…

谱理论 · 数学 2015-10-07 F. Stampach , P. Stovicek

We study characteristic polynomials of symmetric matrices with entries ${i+j\choose i}$ the binomial coefficients, over finite fields.

数论 · 数学 2007-05-23 Roland Bacher , Robin Chapman

In this paper, we propose a numerical method of computing an Hadamard finite-part integral, a finite value assigned to a divergent integral, with a non-integral power singularity at the endpoint on a half infinite interval. In the proposed…

数值分析 · 数学 2019-10-10 Hidenori Ogata

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 fastest known general algorithms for computing permanents. In this paper, Ryser's formula has been…

组合数学 · 数学 2013-11-12 José Andrés Armario

It is well known that many problems in interval computation are intractable, which restricts our attempts to solve large problems in reasonable time. This does not mean, however, that all problems are computationally hard. Identifying…

数值分析 · 计算机科学 2022-11-07 Milan Hladík

We find the spectrum of the Walsh-Hadamard type matrices defined by R.Adin and Y.Roichman in their recent work on character formulas and descent sets for the symmetric group.

组合数学 · 数学 2014-03-07 Gil Alon

In this article, a series of Hadamard matrix has been developed using some block matrices with the help of skew Hadamard matrix. Basically an internal structure of skew Hadamard matrix has been changed with some block matrices using…

组合数学 · 数学 2021-08-19 Shipra Kumari , Hrishikesh Mahato

We describe a subtle error which can appear in numerical calculations involving the spacing statistics of eigenvalues of random unitary matrices.

数学物理 · 物理学 2007-10-01 David W. Farmer

In this paper, we establish various inequalities for some differentiable mappings that are linked with the illustrious Hermite-Hadamard integral inequality for mappings whose derivatives are $s$-$(\alpha,m)$-convex.The generalised integral…

泛函分析 · 数学 2013-04-10 Muhammad Muddassar , Muhammad Iqbal Bhatti , Wajeeha Irshad

We study $n$-dimensional matrices with $\{0,1\}$-entries ($n$-cubes) such that all their $2$-dimensional slices are incidence matrices of symmetric designs. A known construction of these objects obtained from difference sets is generalized…

组合数学 · 数学 2025-09-30 Vedran Krčadinac , Mario Osvin Pavčević , Kristijan Tabak

Sparse non-Hermitian random matrices arise in the study of disordered physical systems with asymmetric local interactions, and have applications ranging from neural networks to ecosystem dynamics. The spectral characteristics of these…

统计力学 · 物理学 2024-02-21 Fernando Lucas Metz , Izaak Neri , Tim Rogers

Geometric aspects play an important role in the construction and analysis of structure-preserving numerical methods for a wide variety of ordinary and partial differential equations. Here we review the development and theory of symplectic…

数值分析 · 数学 2017-10-12 Ludwig Gauckler , Ernst Hairer , Christian Lubich

We characterize the d x d matrices whose numerical ranges are invariant by rotations of angle 2$\pi$/d.

泛函分析 · 数学 2025-10-02 Michel Crouzeix

In this paper, we derive some necessary and sufficient solvability conditions for some systems of one sided coupled Sylvester-type real quaternion matrix equations in terms of ranks and generalized inverses of matrices. We also give the…

环与代数 · 数学 2017-02-03 Zhuo-Heng He , Qing-Wen Wang

In this paper, a general form of integral inequalities of Hermite-Hadamard's type through differentiability for s-Convex function in second sense and whose all derivatives are absolutely continuous are established. The generalized integral…

泛函分析 · 数学 2013-06-25 Muhammad Muddassar , Muhammad Iqbal Bhatti

In this paper, we obtain some new matrix inequalities involving Hadamard product. Also some Hadamard product inequalities for accretive matrices involving the matrix means, positive unital linear maps and matrix concave functions are…

泛函分析 · 数学 2023-08-22 A. Sheikhhosseini , S. Malekinejad , M. Khosravi