Conference paper
Wavefront and caustic surfaces of refractive laser beam shaper
David L. Shealy, John A. Hoffnagle
SPIE Optical Engineering + Applications 2007
Let A be a normal matrix with eigenvalues λ1, λ2,..., λn, and let G{cyrillic} denote the smallest disc containing these eigenvalues. We give some inequalities relating the center and radius of G{cyrillic} to the entries in A. When applied to Hermitian matrices our results give lower bounds on the spread maxij(λi - λj) of A. When applied to positive definite Hermitian matrices they give lower bounds on the Kantorovich ratio maxij(λi - λj)/(λi + λj). © 1994.
David L. Shealy, John A. Hoffnagle
SPIE Optical Engineering + Applications 2007
Laxmi Parida, Pier F. Palamara, et al.
BMC Bioinformatics
A. Grill, B.S. Meyerson, et al.
Proceedings of SPIE 1989
R.A. Brualdi, A.J. Hoffman
Linear Algebra and Its Applications