Distilling common randomness from bipartite quantum states
Igor Devetak, Andreas Winter
ISIT 2003
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.
Igor Devetak, Andreas Winter
ISIT 2003
R.A. Brualdi, A.J. Hoffman
Linear Algebra and Its Applications
Martin Charles Golumbic, Renu C. Laskar
Discrete Applied Mathematics
Zhihua Xiong, Yixin Xu, et al.
International Journal of Modelling, Identification and Control