We present a linear-time algorithm that computes in a given real interval the number of eigenvalues of any symmetric matrix whose underlying graph is unicyclic. The algorithm can be applied to ...
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 ...
In this paper, we obtain a formula for the derivative of a determinant with respect to an eigenvalue in the modified Cholesky decomposition of a symmetric matrix, a characteristic example of a direct ...
Copyright © 2014 by author and Scientific Research Publishing Inc. This work is licensed under the Creative Commons Attribution International License (CC BY). In ...
I made this spectral clustering algorithm for a school project to draw a graph with 50 nodes and 61 edges with the least intersections but it calculates too slow for that. It has a jacobi algorithm ...
Abstract: A projection scheme to handle eigenvalue bounds for adaptive control with uncertain symmetric matrix parameters is introduced. Conventional parameter projection techniques are generally ...
Task: To write in C++ with a graphical interface. To develop a program for determining the eigenvalues of the matrix using a symmetric qr algorithm (method 8.2.3). Create a Sym QR class with ...
Abstract: This paper discusses a fast implementation of the stabilized locally optimal block preconditioned conjugate gradient method, using a hierarchical multilevel preconditioner to solve ...
A relatively obscure eigenvalue due to Wielandt is used to give a simple derivation of the asymptotic distribution of the eigenvalues of a random symmetric matrix. The asymptotic distributions are ...
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