The expression of a bound of the uniform norm of infinite lower triangular Toeplitz matrices with nonnegative entries is found. All the results are obtained by studying the behavior of the resolvent kernel and of the fundamental matrix of the recurrence relation which generates the sequence of the entries of the considered matrix.
A bound for the inverse of a lower triangular Toeplitz matrix
Vecchio A
2003
Abstract
The expression of a bound of the uniform norm of infinite lower triangular Toeplitz matrices with nonnegative entries is found. All the results are obtained by studying the behavior of the resolvent kernel and of the fundamental matrix of the recurrence relation which generates the sequence of the entries of the considered matrix.File in questo prodotto:
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