Explicit Euclidean Norm, Eigenvalues, Spectral Norm and Determinant of Circulant Matrix with the Generalized Tribonacci Numbers
Yüksel Soykan
Abstract
In this paper, we obtain explicit Euclidean norm, eigenvalues, spectral norm and determinant of circulant matrix with the generalized Tribonacci (generalized (r, s, t)) numbers. We also present the sum of entries, the maximum column sum matrix norm and the maximum row sum matrix norm of this circulant matrix. Moreover, we give some bounds for the spectral norms of Kronecker and Hadamard products of circulant matrices of (r, s, t) and Lucas (r, s, t) numbers.
Topics & Concepts
Circulant matrixMathematicsMatrix normEigenvalues and eigenvectorsCombinatoricsNorm (philosophy)Matrix (chemical analysis)Pure mathematicsQuantum mechanicsPhysicsPolitical scienceMaterials scienceComposite materialLawAdvanced Mathematical Theories and ApplicationsMatrix Theory and AlgorithmsMathematical Inequalities and Applications