Publisher's Synopsis
Excerpt from Convergence of the Qr Algorithm
Francis proposed an algorithm for generating from a given square matrix a sequence of unitarily similar matrices. He proved that if the eigenvalues have distinct moduli then, in the limit, the form of the matrices is triangular and, although the sequence may not converge in the strict sense, the diagonal elements do tend to the eigenvalues. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.