Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898030 | Linear Algebra and its Applications | 2018 | 43 Pages |
Abstract
C. Johnson, Z. Price, and I. Spitkovsky conjectured that in this family, the number of eigenvalues in the left half-plane is maximized by αIâβΣâ; we prove this conjecture. Moreover, the complete range of possibilities for the number of eigenvalues in the left half-plane is demonstrated: if α<β, then any odd number between 1 and the maximum, inclusive, is attainable.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Charles E. Baker, Boris S. Mityagin,