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  1. Symbolic computation of weighted Moore-Penrose inverse using partitioning method.

    Tue, 04/12/2011 - 15:01 — SomNambul
    Authors: Petković, Stanimirović, P.S., Tasić, M.B.
    Subjects: Symbolic Computation
    Abstract

    We propose a method and algorithm for computing the weighted Moore-Penrose
    inverse of one-variable rational matrices. Continuing this idea, we develop an
    algorithm for computing the weighted Moore-Penrose inverse of one-variable
    polynomial matrix. These methods and algorithms are generalizations of the
    method for computing the weighted Moore-Penrose inverse for constant matrices,
    originated in Wang and Chen [G.R. Wang, Y.L. Chen, A recursive algorithm for
    computing the weighted Moore-Penrose inverse AMN, J. Comput. Math.

  2. Effective partitioning method for computing weighted Moore-Penrose inverse.

    Tue, 04/12/2011 - 15:01 — SomNambul
    Authors: Petković, M.D., Stanimirović, P.S., Tasić
    Subjects: Symbolic Computation
    Abstract

    We introduce a method and an algorithm for computing the weighted
    Moore-Penrose inverse of multiple-variable polynomial matrix and the related
    algorithm which is appropriated for sparse polynomial matrices. These methods
    and algorithms are generalizations of algorithms developed in [M.B. Tasic, P.S.
    Stanimirovic, M.D. Petkovic, Symbolic computation of weighted Moore-Penrose
    inverse using partitioning method, Appl. Math. Comput. 189 (2007) 615-640] to
    multiple-variable rational and polynomial matrices and improvements of these
    algorithms on sparse matrices.

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