Results 201 to 208 of about 26,670 (208)

A fast method to block-diagonalize a Hankel matrix

Numerical Algorithms, 2007
In this paper, we consider an approximate block diagonalization algorithm of an n×n real Hankel matrix in which the successive transformation matrices are upper triangular Toeplitz matrices, and propose a new fast approach to compute the factorization in O(n2) operations. This method consists on using the revised Bini method (Lin et al., Theor Comp Sci
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Rank of a Hankel matrix over Z[x1,..., xr]

Applicable Algebra in Engineering, Communication and Computing, 1992
One of the main problems in the treatment of rational functions consists in representing them suitably for the purpose of their symbolic and algebraic manipulation. One can approach this problem by means of Hankel matrices if an efficient method for computing ranks is available.
Juan Llovet, J. R. Sendra
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The initial algebra of maximal minors of a generalized hankel matrix [PDF]

Communications in Algebra, 1999
One deals with a certain generalization of the (generic) Hankel matrix. Fixing a field K, for a suitable diagonal term order on the polynomial ring B over K generated by the entries of this matrix, one considers the K-subalgebra A ⊂ B generated by the set of initial terms of the the maximal minors of the matrix.
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Signal denoising using Hankel matrix rank reduction

Proceedings of the Twenty-First National Radio Science Conference, 2004. NRSC 2004., 2004
In this paper, signal denoising is achieved through a procedure consisting of rank reduction of the signal's Hankel matrix, then Hankel matrix restoration and finally projecting the enhanced signal on an optimally chosen signal space to get rid of the orthogonal noise components.
Y.M.Y. Hasan, Mamdouh F. Fahmy
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Application of Hankel matrix to the root location problem

IEEE Transactions on Automatic Control, 1976
It is shown how the well-known Hankel matrix associated with a polynomial f(x) can be employed to obtain information on the location of the zeros of f(x) in a given half plane and in particular to obtain a test for aperiodicity of f(x) .
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Factorization of Some Classes of Matrix Functions and the Resolvent of a Hankel Operator

2003
The factorization of some classes of matrix-valued functions is obtained, which yields some new results for a special class of Hankel integral operators in L 2 + . For each of its elements, it is shown that the resolvent operator can be explicitly determined through a matrix factorization obtained by solving two non-homogeneous equations.
Conceição, Ana C., Kravchenko, Viktor, Teixeira, Francisco S.   +2 more
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Separation of measured noise coherence matrix into Toeplitz and Hankel parts

The Journal of the Acoustical Society of America, 2017
The cross-spectral density of ocean ambient noise is usually estimated from the product of the complex hydrophone signals, each of which already corresponds to the summed responses of sources from all angles. The true coherence is the integral over all angles of the angle-dependent product.
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Toeplitz/Hankel Matrix Structure and Polynomial Computations

2001
Toeplitz matrices, Hankel matrices, and matrices with similar structures (such as Frobenius, Sylvester, and subresultant matrices) are probably the most studied structured matrices. Among their numerous important areas of application, we select fundamental polynomial computations, including multiplication, and the Extended Euclidean Algorithm, together
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