Robert Manson Sawko, Malgorzata Zimon
SIAM/ASA JUQ
It is shown that, under certain conditions, orthonormalizing the positive integer shifts of an exponentially decaying function on the half line by the Gram-Schmidt process leads to a limiting profile given by orthonormalizing all their integer shifts on the whole line. These results derive from properties of Cholesky factorization of bi-infinite and semi-infinite matrices. An example is provided by the negative exponential function and conjectures are given, supported by numerical evidence, for the Gaussian and Lorentz function.
Robert Manson Sawko, Malgorzata Zimon
SIAM/ASA JUQ
Harpreet S. Sawhney
IS&T/SPIE Electronic Imaging 1994
William Hinsberg, Joy Cheng, et al.
SPIE Advanced Lithography 2010
I.K. Pour, D.J. Krajnovich, et al.
SPIE Optical Materials for High Average Power Lasers 1992