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Title

Symbolic computation of the Moore-Penrose inverse using the LDL∗ decomposition of the polynomial matrix
Authors

Milan B. Tasi´c
Organization: University of Nis
Department: Faculty of Sciences and Mathematics
Ivan P. Stanimirovi´c
Organization: University of Niˇs
Department: Faculty of Sciences and Mathematics
Journal / Anthology

Filomat
Year: 2013
Volume: 27
Issue: 8
Page range: 1393-1403
Description

The full-rank LDL∗ decomposition of a polynomial Hermitian matrix is examined. Explicit formulae are given evaluating the coefficients of matrices lij and djj. Also, a new method is developed, based on the LDL∗ factorization of the matrix product A∗A, for symbolic computation of the Moore-Penrose inverse matrix. The paper follows the results of [I.P. Stanimirovi´c, M.B. Tasi´c, Computation of generalized inverses by using the LDL∗ decomposition, Appl. Math. Lett., 25 (2012), 526–531], where the matrix products A∗A, AA∗ and the corresponding LDL∗ factorizations are considered in order to compute the generalized inverse of A.
Subjects

*Mathematics
*Mathematics > Algebra
*Mathematics > Algebra > Polynomials


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