A Class of Nonlinear Eigenvalue Problems
Download or Read eBook A Class of Nonlinear Eigenvalue Problems PDF written by Robert E. L. Turner and published by . This book was released on 1967 with total page 44 pages. Available in PDF, EPUB and Kindle.
Author | : Robert E. L. Turner |
Publisher | : |
Total Pages | : 44 |
Release | : 1967 |
ISBN-10 | : OCLC:227473633 |
ISBN-13 | : |
Rating | : 4/5 (33 Downloads) |
Book Synopsis A Class of Nonlinear Eigenvalue Problems by : Robert E. L. Turner
Book excerpt: The report considers the nonlinear eigenvalue problem (A - B(lambda))x = 0 in a Hilbert space, where A = or> 0 is compact and B(lambda) is a polynomial with nonnegative operator coefficients, satisfying B(0) = 0. It is shown that if A and B(lambda) are in certain operator classes, then there exists an unconditional basis of the Hilbert space consisting of eigenvectors x corresponding to nonnegative eigenvalues lambda. It is also shown that the nonnegative eigenvalues can be characterized by variational principles. (Author).