In this paper we consider estimating the rank of an unknown symmetric matrix based on a symmetric, asymptotically normal estimator of the matrix. The related positive definite limit covariance matrix ...

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This paper is concerned with the inverse eigenvalue problems for symmetric Toeplitz matrices. A kind of inverse problem for constructing a real symmetric Toeplitz matrix from the given k eigenpairs is ...

ABSTRACT The problem of joint approximate diagonalization of symmetric real matrices is addressed. It is reduced to an optimization problem with the restriction that the matrix of the similarity ...

In this paper, we explore the inverse spectral problem for a kind of pseudo-symmetric matrix A (ε,c,s) that corresponds to a graph of a banana tree when all ε=1. The problem of reconstructing ...

Inspired by recent work in the theory of central projections onto hypersurfaces, we characterize self-linked perfect ideals of grade 2 as those with a Hilbert-Burch matrix that has a maximal symmetric ...

In this paper the exact solution of the non-symmetric matrix Riccati equation with analytic coefficients is approximated by a rational matrix function with a prefixed accuracy. This rational matrix ...