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 ...
1 Department of Mathematics and Computer Science, Eastern Connecticut State University, Willimantic, USA 2 Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana ...
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 ...
[1] G. Constantine, “Lower Bounds for the Spectra of Symmetric Matrices with Nonnegative Entries,” Linear Algebra and its Applications, Vol. 65, 1985, pp. 171-178 ...
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: A projection scheme to handle eigenvalue bounds for adaptive control with uncertain symmetric matrix parameters is introduced. Conventional parameter projection techniques are generally ...
Abstract: In this correspondence, several algorithms to compute a lower bound of the smallest eigenvalue of a symmetric positive-definite Toeplitz matrix are described and compared in terms of ...
The eigenvalue problem is one of linear algebra's most essential and valuable problems. It deals with finding a square matrix's special values and vectors that ...
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 ...