On the Norms of Toeplitz Matrices with the Pell, Pell-Lucas and Modified Pell Numbers

Abstract

This paper deals with the usual Pell, Pell-Lucas and Modified Pell numbers and Toeplitz matrices. First, the Toeplitz matrices whose entries are the usual Pell, Pell-Lucas and Modified Pell numbers are constructed, and then the Frobenius, row and column norms of such matrices are computed. Furthermore, the upper and lower bounds for the spectral norms of these matrices are obtained.

Keywords

• Pell Sequence,Pell-Lucas Sequence,Modified Pell Sequence,Toeplitz Matrix,Norm

References

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