We will present some results on r-circulant matrices whose entries are the Chebyshev polynomials of the first and second kind as well as close connections between the Chebyshev polynomials of the first and second kind and some well-known integer sequences. Using these connections we will apply the obtained results to r-circulant matrices involving various integer sequences. It will turn out that our results on the spectral norm bounds on such matrices are notably better than the previous ones
AbstractIn the first part we expose the notion of continued fractions in the matrix case. In this pa...
We first discuss the convergence in probability and in distribution of the spectral norm of scaled T...
AbstractThis paper presents spectral decompositions, i.e., eigendecompositions and singular value de...
This paper connects two attractive topics in applied mathematics, r-circulant matrices and the Cheb...
The integer Chebyshev problem deals with finding polynomials of degree at most n with integer coeffi...
In order to further connect structured matrices and integer sequences, r-circulant matrices involvin...
Chebyshev polynomials crop up in virtually every area of numerical analysis, and they hold particula...
Abstract. The Integer Chebyshev Problem is the problem of finding an inte-ger polynomial of degree n...
Abstract Let us define A = C r ( a 0 , a 1 , … , a n − 1 ) $A=C_{r}(a_{0},a_{1},\ldots,a_{n-1})$ to ...
We are concerned with the problem of minimizing the supremum norm on [0; 1] of a nonzero polynomial ...
Abstract. We study the problem of minimizing the supremum norm, on a segment of the real line or on ...
Abstract. We study the problem of minimizing the supremum norm by monic polynomials with integer coe...
The importance of integer sequences as well as structured matrices and their applications, motivated...
This study is an exposition based on the article, Chebyshev Polynomials and Fibonacci Numbers: The L...
This paper deals with the study of the associated Chebyshev matrix polynomials. Associated matrix po...
AbstractIn the first part we expose the notion of continued fractions in the matrix case. In this pa...
We first discuss the convergence in probability and in distribution of the spectral norm of scaled T...
AbstractThis paper presents spectral decompositions, i.e., eigendecompositions and singular value de...
This paper connects two attractive topics in applied mathematics, r-circulant matrices and the Cheb...
The integer Chebyshev problem deals with finding polynomials of degree at most n with integer coeffi...
In order to further connect structured matrices and integer sequences, r-circulant matrices involvin...
Chebyshev polynomials crop up in virtually every area of numerical analysis, and they hold particula...
Abstract. The Integer Chebyshev Problem is the problem of finding an inte-ger polynomial of degree n...
Abstract Let us define A = C r ( a 0 , a 1 , … , a n − 1 ) $A=C_{r}(a_{0},a_{1},\ldots,a_{n-1})$ to ...
We are concerned with the problem of minimizing the supremum norm on [0; 1] of a nonzero polynomial ...
Abstract. We study the problem of minimizing the supremum norm, on a segment of the real line or on ...
Abstract. We study the problem of minimizing the supremum norm by monic polynomials with integer coe...
The importance of integer sequences as well as structured matrices and their applications, motivated...
This study is an exposition based on the article, Chebyshev Polynomials and Fibonacci Numbers: The L...
This paper deals with the study of the associated Chebyshev matrix polynomials. Associated matrix po...
AbstractIn the first part we expose the notion of continued fractions in the matrix case. In this pa...
We first discuss the convergence in probability and in distribution of the spectral norm of scaled T...
AbstractThis paper presents spectral decompositions, i.e., eigendecompositions and singular value de...
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