IEEE

Generalizations of the Rayleigh quotient iteration for the iterative refinement of the eigenvectors of real symmetric matrices

Abstract: We present new algorithms for refining the estimates of the eigenvectors of a real symmetric matrix. Using techniques from calculus, we show that the algorithms converge locally cubically ...
IEEE

Semi-Supervised Symmetric Non-Negative Matrix Factorization With Low-Rank Tensor Representation

Abstract: Semi-supervised symmetric non-negative matrix factorization (SNMF) utilizes the available supervisory information (usually in the form of pairwise constraints) to improve the clustering ...
JSTOR Daily

On Rank Estimation in Symmetric Matrices: The Case of Indefinite Matrix Estimators

This is a preview. Log in through your library . Abstract In this paper we consider estimating the rank of an unknown symmetric matrix based on a symmetric, asymptotically normal estimator of the ...
JSTOR Daily

Proof of Conjectures About the Expected Values of the Elementary Symmetric Functions of a Noncentral Wishart Matrix

This paper provides proof of conjectures about the expected values of the jth elementary symmetric function of the roots (i.e. $E(\operatorname{tr}_j A)$) of a non ...
Scientific Research Publishing

X. B. Guo and D. Q. Shang, “Fuzzy Symmetric Solutions of Fuzzy Matrix Equations,” Advances in Fuzzy Systems, 2012, Article ID: 318069. doi:10.1155/2012/318069

ABSTRACT: In the paper, a class of fuzzy matrix equations AX=B where A is an m × n crisp matrix and is an m × p arbitrary LR fuzzy numbers matrix, is investigated. We convert the fuzzy matrix equation ...