1)A header file that contains the definitions of symmetric matrix class---> SymMat 2)testcases.cpp that contains the testcases for using the SymMat class and Eigen library 3)Output images of the ...

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 ...

I've seen some symmetric matrices where unsymmetric pivoting can lead to catastrophic fillin and numerical errors. But there are also many cases where the unsymmetric strategy is vastly superior in ...

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 ...

Recently, in order to find the principal moments of inertia of a large number of rigid bodies, it was necessary to compute the eigenvalues of many real, symmetric 3 × 3 matrices. The available ...

We study several variants of decomposing a symmetric matrix into a sum of a low-rank positive semidefinite matrix and a diagonal matrix. Such decompositions have applications in factor analysis and ...

Nonnegative matrix factorization (NMF) is an unsupervised learning method useful in various applications including image processing and semantic analysis of documents. This paper focuses on symmetric ...

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 ...