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G. Carayannis, N. Kalouptsidis and D. G. Manolakis, “Fast Recursive Algorithms for a Class of Linear Equations,” IEEE Transactions on Acoustics, Speech and Signal Processing, Vol. 30, No. 2, 1982, pp. 227-239. doi:10.1109/TASSP.1982.1163876

has been cited by the following article:

• TITLE: Explicit Inversion for Two Brownian-Type Matrices

  AUTHORS: Florendia Valvi, Vassilis Geroyannis

  KEYWORDS: Brownian Matrix; Hadamard Product; Hessenberg Matrix; Numerical Complexity; Test Matrix

  JOURNAL NAME: Applied Mathematics, Vol.3 No.9, September 27, 2012

  ABSTRACT: We present explicit inverses of two Brownian-type matrices, which are defined as Hadamard products of certain already known matrices. The matrices under consideration are defined by 3n - 1 parameters and their lower Hessenberg form inverses are expressed analytically in terms of these parameters. Such matrices are useful in the theory of digital signal processing and in testing matrix inversion algorithms.