In
mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
, negative definiteness is a property of any object to which a
bilinear form
In mathematics, a bilinear form is a bilinear map on a vector space (the elements of which are called '' vectors'') over a field ''K'' (the elements of which are called ''scalars''). In other words, a bilinear form is a function that is linear i ...
may be naturally associated, which is
negative-definite. See, in particular:
*
Negative-definite bilinear form In mathematics, negative definiteness is a property of any object to which a bilinear form may be naturally associated, which is negative-definite. See, in particular:
* Negative-definite bilinear form
* Negative-definite quadratic form
* Negati ...
*
Negative-definite quadratic form In mathematics, negative definiteness is a property of any object to which a bilinear form may be naturally associated, which is negative-definite. See, in particular:
* Negative-definite bilinear form
* Negative-definite quadratic form
* Negativ ...
*
Negative-definite matrix
*
Negative-definite function
In mathematics, a positive-definite function is, depending on the context, either of two types of function.
Most common usage
A ''positive-definite function'' of a real variable ''x'' is a complex-valued function f: \mathbb \to \mathbb such th ...
{{Set index article, mathematics
Quadratic forms