Mathematics-Online lexicon: Convex Combination

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	Mathematics-Online lexicon:
	Convex Combination

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

In a real vector space a linear combination

$\displaystyle \lambda_1 v_1 + \lambda_2 v_2 +\dots + \lambda_m v_m$

with

$\displaystyle \lambda_i\ge 0,\quad \sum_i \lambda_i = 1$

is called convex combination of the vectors $v_i\in V$ .

(Authors: App/Burkhardt/Höllig)

automatically generated 1/18/2005