Cone (linear Algebra)

Author:   Lambert M. Surhone ,  Miriam T. Timpledon ,  Susan F. Marseken
Publisher:   VDM Publishing House
ISBN:  

9786131160769


Pages:   104
Publication Date:   10 August 2010
Format:   Paperback
Availability:   In Print   Availability explained
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Cone (linear Algebra)


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Overview

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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 I x belongs to C for any x in C and any positive scalar I of V (or, more succinctly, if and only if I C = C for any positive scalar I ). 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.

Full Product Details

Author:   Lambert M. Surhone ,  Miriam T. Timpledon ,  Susan F. Marseken
Publisher:   VDM Publishing House
Imprint:   VDM Publishing House
Dimensions:   Width: 22.90cm , Height: 0.60cm , Length: 15.20cm
Weight:   0.165kg
ISBN:  

9786131160769


ISBN 10:   6131160767
Pages:   104
Publication Date:   10 August 2010
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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