Michael Ray, Yves C. Martin
Proceedings of SPIE - The International Society for Optical Engineering
Cholesky factorization of bi-infinite and semi-infinite matrices is studied and in particular the following is proved. If a bi-infinite matrix A has a Cholesky factorization whose lower triangular factor L and its lower triangular inverse decay exponentially away from the diagonal, then the semi-infinite truncation of A has a lower triangular Cholesky factor whose elements approach those of L exponentially. This result is then applied to studying the asymptotic behavior of splines obtained by orthogonalizing a large finite set of B-splines, in particular identifying the limiting profile when the knots are equally spaced. © 1995 BIT Foundation.
Michael Ray, Yves C. Martin
Proceedings of SPIE - The International Society for Optical Engineering
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