TY - JOUR AU - José Gregorio Marcano AU - M.D. Morán PY - 2019/12/01 Y2 - 2024/03/29 TI - A Geometrical Approach of the Levinson Algorithm for Block Toeplitz Matrices JF - Statistics, Optimization & Information Computing JA - Stat., optim. inf. comput. VL - 7 IS - 4 SE - Research Articles DO - 10.19139/soic-2310-5070-734 UR - http://iapress.org/index.php/soic/article/view/soic.v7i4.1210 AB - In this paper we obtain a version of the Levinson algorithm for block Toeplitz matrices in an infinity dimensional setting from a geometrical approach. With this methodology we obtain a sequence of operators in the Levinson recurrences whose norms in geometric terms represent angles between subspaces. Additionally, under this geometric framework a LU decomposition for a block Toeplitz matrix is obtained. ER -