One Problem of Extremal Functional Interpolation and the Favard Constants

In the present paper we consider the problem to estimate a solution of the system of equations with a circulant matrix in uniform norm. We give the estimate for circulant matrices with diagonal dominance. The estimate is sharp. Based on this result and an idea of decomposition of the matrix into a product of matrices associated with factorization of the characteristic polynomial, we propose an estimate for any circulant matrix.

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Estimates of the $ p $-Norms of Solutions to Difference Equations and Infinite Systems of Linear Equations

Volkov

2024

Sib Math J

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One Problem of Extremal Functional Interpolation and the Favard Constants

Cited by 4 publications

References 4 publications

Estimates for solutions of bi-infinite systems of linear equations

Estimates for solutions of bi-infinite systems of linear equations

Estimates for solutions of systems of linear equations with circulant matrices

Estimates of the $ p $-Norms of Solutions to Difference Equations and Infinite Systems of Linear Equations

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