2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73842A factorization of the inverse of a Hermetian positive definite matrix based on a diagonal by diagonal recurrence formulae permits the inversion of Block Toeplitz matrices, using only matrix-vector products, and with a complexity of O((n1)^3(n2)^2), where n1 is the block size, and n2 is the block matrix block-size.Spectral TheoryGeneralized Reflection Coefficients and Inverse Factorization of Hermetian Block Toeplitz Matrixtext