Correction to: Complete Factorization of the 2m-Band Paraunitary Polyphase Matrix with Multiple Centers of Symmetry
نویسندگان
چکیده
منابع مشابه
determinant of the hankel matrix with binomial entries
abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.
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We present a method to factor a given matrix M into a short product of sparse matrices, provided M has a suitable “symmetry”. This sparse factorization represents a fast algorithm for the matrix-vector multiplication with M . The factorization method consists of two essential steps. First, a combinatorial search is used to compute a suitable symmetry of M in the form of a pair of group represen...
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ژورنال
عنوان ژورنال: Circuits, Systems, and Signal Processing
سال: 2019
ISSN: 0278-081X,1531-5878
DOI: 10.1007/s00034-019-01290-z