9 results about "Numerical range" patented technology

In the mathematical field of linear algebra and convex analysis, the numerical range or field of values of a complex n × n matrix A is the set W(A)={𝐱*A𝐱/𝐱*𝐱∣𝐱∈ℂⁿ, x\not=0} where x* denotes the conjugate transpose of the vector x. In engineering, numerical ranges are used as a rough estimate of eigenvalues of A. Recently, generalizations of numerical range are used to study quantum computing.