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61.171  Articles
1 of 6.118 pages  |  10  records  |  more records»
In this paper, firstly, manifoldPD(n)consisting of alln×nsymmetric positive-definite matrices is introduced based on matrix information geometry; Secondly, the geometrical structures of information submanifold ofPD(n)are presented including metric, geodes... see more

Correlation matrices are standardized covariance matrices. They form an affine space of symmetric matrices defined by setting the diagonal entries to one. We study the geometry of maximum likelihood estimation for this model and linear submodels that enco... see more

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A new, non-iterative  technique for synthesizing equispaced linear arrays with symmetric excitation is proposed. The methods is on the computation of an  eigenvector of an appropriate real, Symmetric and positive-definite matrix. This technique ... see more

We obtain integral representations for positive definite functions of one variable, when kernels K(x,y)K(x,y) are positive definite. The proof is based on the spectral theory of differential operators of fourth order.

We obtain the integral representation of positive definite kernels of the two variables associated with differential expression of second order of elliptic type.

For solving a broad class of complex symmetric linear systems, recently Salkuyeh et al. recast the system in a real formulation and studied a generalized successive overrelaxation (GSOR) iterative method. In this paper, we introduce an accelerated GSOR (A... see more

We present a new construction of a symmetric arrow matrix from a particular spectral information: let ?1(n) be the minimal eigenvalue of the matrix and ?j(j) ,j=1,2,...,n the maximales eigenvalues of all leading principal submatrices of the... see more

In 2007, the first author gave an alternative proof of the refined alternating sign matrix theorem by introducing a linear equation system that determines the refined ASM numbers uniquely. Computer experiments suggest that the numbers appearing in a conje... see more

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