Numerical range

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

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.

单词	Numerical range
释义	Numerical range 英语百科 Numerical range 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 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.
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