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 ...
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 several algorithms for finding the eigenvalues of real symmetric matrices are discussed and compared. The algorithms have been programmed by the author for the IBM 7094. Descriptions of ...
The analogy between eigenvalues and singular values has many faces. The current review brings together several examples of this analogy. One example regards the similarity between Symmetric Rayleigh ...
ABSTRACT: The paper contains two parts. First, by applying the results about the eigenvalue perturbation bounds for Hermitian block tridiagonal matrices in paper [1], we obtain a new efficient method ...
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 ...
Abstract: This paper gives an overview of matrix transformations for finding rightmost eigenvalues of Ax = λx and Ax = λBx with A and B real non-symmetric and B possibly singular. The aim is not to ...