Linear and Multilinear Algebra · 2004 · 29 citations · 12 references
Natural SciencesComputer ScienceMathematicsComputational GeometryComputational PhysicsGeometric ModelingNumerical AnalysisOperator TheoryInner Product Spaces
In this paper, numerical ranges associated to operators on an inde nite \ninner product space are investigated. Boundary generating curves, corners, shapes \nand computer generations of these sets are studied. In particular, the Murnaghan- \nKippenhahn theorem for the classical numerical range is generalized.
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On the numerical range of a bounded operator.
William F. Donoghue · The Michigan Mathematical Journal · 1957 · 115 citations · Full text