Semiconvergent

Quick meaning: Semiconvergent is a noun meaning (mathematics, of a matrix) For which the limit lim _(k→∞) bold Tᵏ exists.

Meaning

(mathematics, of a matrix) For which the limit lim _(k→∞) bold Tᵏ exists.

More Meanings

1. (mathematics) A kind of fraction. If (h_n-1)/(k_n-1), (h_n)/(k_n) are successive convergents, then any fraction of the form (h_n-1+ah_n)/(k_n-1+ak_n), where a is a nonnegative integer and the numerators and denominators are between the n and n+1 terms inclusive, is a semiconvergent.

Example Sentences

The semiconvergents to the continued fraction expansion of a real number include all the rational approximations which are better than any approximation with a smaller denominator.

Word Forms

• semiconvergents

Related Words

Related dictionary entries include convergent, seminvariant, semiconjugacy, semicovariant, convergence, superconvergence.

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