Arnon Amir, Michael Lindenbaum
IEEE Transactions on Pattern Analysis and Machine Intelligence
Paper
Explicit and asymptotic formulas for LDMt factorization of banded toeplitz matrices
Abstract
We study the LDMt factorization of banded Toeplitz matrices. We show that, under fairly general conditions, the L, M, and D factors exhibit exponential convergence along diagonals. We also give explicit formulas for the limiting values. Our method of proof involves a generalization to matrices of the theory of continued fractions of quadratic irrationals. © 1995, All rights reserved.
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