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Cone (linear algebra)
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High Quality Content by WIKIPEDIA articles! In linear algebra, a (linear) cone is a subset of a vector space that is closed under multiplication by positive scalars. In other words, a subset C of a real vector space V is a cone if and only if x belongs to C for any x in C and any positive scalar of V (or, more succinctly, if and only if C = C for any positive scalar ). A cone is said to be pointed if it includes the null vector (origin) 0; otherwise it is said to be blunt. Some authors use "non-negative" instead of "positive" in this definition of "cone", which restricts the term to the pointed cones only. The definition makes sense for any vector space V which allows the notion of "positive scalar" (i.e., where the ground field is an ordered field), such as spaces over the rational, real algebraic, or (most commonly) real numbers.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131160769
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- EAN 9786131160769
- Format Fachbuch
- Titel Cone (linear algebra)
- Herausgeber Betascript Publishing
- Anzahl Seiten 104
- Genre Mathematik
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