Positive Definite Tensor

A positive definite tensor is a tensor of type whose associated symmetric bilinear form on a real vector space satisfies

for every nonzero vector .

In two dimensions, this is equivalent to together with

Explore with Wolfram|Alpha

More things to try:

Cite this as:

Weisstein, Eric W. "Positive Definite Tensor." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PositiveDefiniteTensor.html

Subject classifications