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In mathematics, the Silverman–Toeplitz theorem, first proved by Otto Toeplitz, is a result in series summability theory characterizing matrix summability methods that are regular. A regular matrix summability method is a linear sequence transformation that preserves the limits of convergent sequences . [ 1 ]
The Silverman–Toeplitz theorem characterizes matrix summation methods, which are methods for summing a divergent series by applying an infinite matrix to the vector of coefficients. The most general methods for summing a divergent series are non-constructive and concern Banach limits .
Silverman–Toeplitz theorem; Summation by parts; Z. Zeldovich regularization; Zeta function regularization This page was last edited on 9 January 2014, at 19:17 (UTC ...
Silverman–Toeplitz theorem; U. Unconditional convergence This page was last edited on 11 October 2010, at 18:00 (UTC). Text is available under the Creative ...
Toeplitz algebra, the C*-algebra generated by the unilateral shift on the Hilbert space; Toeplitz Hash Algorithm, used in many network interface controllers; Hellinger–Toeplitz theorem, an everywhere defined symmetric operator on a Hilbert space is bounded; Silverman–Toeplitz theorem, characterizing matrix summability methods which are regular
A matrix equation of the form = is called a Toeplitz system if is a Toeplitz matrix. If is an Toeplitz matrix, then the system has at most only unique values, rather than . We might therefore expect that the solution of a Toeplitz system would be easier, and indeed that is the case.
Silver machine-- Silver ratio-- Silver's dichotomy-- Silverman–Toeplitz theorem-- Silverman's game-- Sim (pencil game)-- Simalto-- SiMERR-- Similarity (geometry)-- Similarity-based-TOPSIS-- Similarity invariance-- Similarity measure-- Similarity system of triangles-- Simion Stoilow Prize-- Simon problems-- Simon Stevin (journal)-- Simons ...
Silverman–Toeplitz theorem (mathematical analysis) Simplicial approximation theorem (algebraic topology) Sinkhorn's theorem (matrix theory) Sion's minimax theorem (game theory) Sipser–Lautemann theorem (probabilistic complexity theory) (structural complexity theory) Siu's semicontinuity theorem (complex analysis) Six circles theorem