Convex Cone
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High Quality Content by WIKIPEDIA articles! In linear algebra, a convex cone is a subset of a vector space that is closed under linear combinations with positive coefficients. A subset C of a vector space V is a convex cone if and only if x + y belongs to C, for any positive scalars , , and any x, y in C. The defining condition can be written more succinctly as " C + C = C" for any positive scalars , . The concept is meaningful for any vector space that allows the concept of "positive" scalar, such as spaces over the rational, algebraic, or (more commonly) the real numbers.

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High Quality Content by WIKIPEDIA articles! In linear algebra, a convex cone is a subset of a vector space that is closed under linear combinations with positive coefficients. A subset C of a vector space V is a convex cone if and only if x + y belongs to C, for any positive scalars , , and any x, y in C. The defining condition can be written more succinctly as " C + C = C" for any positive scalars , . The concept is meaningful for any vector space that allows the concept of "positive" scalar, such as spaces over the rational, algebraic, or (more commonly) the real numbers.