On s-normal Circulant and con-s-normal Circulant Matrices
نویسندگان
چکیده
منابع مشابه
On circulant and two-circulant weighing matrices
We employ theoretical and computational techniques to construct new weighing matrices constructed from two circulants. In particular, we construct W (148, 144), W (152, 144), W (156, 144) which are listed as open in the second edition of the Handbook of Combinatorial Designs. We also fill a missing entry in Strassler’s table with answer ”YES”, by constructing a circulant weighing matrix of orde...
متن کاملCirculant and skew-circulant matrices as new normal-form realization of IIR digital filters - Circuits and Systems, IEEE Transactions on
Normal-form fixed-point state-space realizations of IIR filters are known to be free from both overflow oscillations and roundoff limit cycles, provided magnitude truncation type of arithmetic is used together with two’s complement overflow features. The eigenvalues of the state transition matrix have low sensitivity. In this paper two new normal-form realizations are presented which utilize ci...
متن کاملOn Circulant Matrices
S ome mathematical topics—circulant matrices, in particular—are pure gems that cry out to be admired and studied with different techniques or perspectives in mind. Our work on this subject was originally motivated by the apparent need of the first author to derive a specific result, in the spirit of Proposition 24, to be applied in his investigation of theta constant identities [9]. Although pr...
متن کاملOn circulant weighing matrices
Algebraic techniques are employed to obtain necessary conditions for the existence of certain circulant weighing matrices. As an application we rule out the existence of many circulant weighing matrices. We study orders n = 8 +8+1, for 10 ~ 8 ~ 25. These orders correspond to the number of points in a projective plane of order 8.
متن کاملEigenvectors of block circulant and alternating circulant matrices
The eigenvectors and eigenvalues of block circulant matrices had been found for real symmetric matrices with symmetric submatrices, and for block circulant matrices with circulant submatrices. The eigenvectors are now found for general block circulant matrices, including the Jordan Canonical Form for defective eigenvectors. That analysis is applied to Stephen J. Watson’s alternating circulant m...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Scientific Research in Mathematical and Statistical Sciences
سال: 2018
ISSN: 2348-4519
DOI: 10.26438/ijsrmss/v5i5.173178