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math.FA2024
Unified approach to reciprocal matrices with Kippenhahn curves containing elliptical components
Muyan Jiang, Ilya M. Spitkovsky
Reciprocal matrices are tridiagonal matrices with constant main diagonal and such that for . For these matrices, criteri…
math.FA2022
Numerical ranges of Foguel operators revisited
Muyan Jiang, Ilya M. Spitkovsky
The Foguel operator is defined as , where is the right shift on a Hilbert space and can be an arbitrary bound…
math.FA2021
Low-dimensional reciprocal matrices with elliptical components of their Kippenhahn curves
Muyan Jiang, Ilya M. Spitkovsky
By definition, reciprocal matrices are tridiagonal -by- matrices with constant main diagonal and such that for . For , we…