11 results about "Positive-definite matrix" patented technology

In linear algebra, a symmetric n×n real matrix M is said to be positive definite if the scalar z𝖳Mz is strictly positive for every non-zero column vector z of n real numbers. Here z𝖳 denotes the transpose of z. When interpreting Mz as the output of an operator, M, that is acting on an input, z, the property of positive definiteness implies that the output always has a positive inner product with the input, as often observed in physical processes.