My current research interests include matrix and combinatorial theory. I am in
particular interested in problems in numerical range, sign pattern matrices, number of
independent sets, and their applications.
- Numerical range
- Geometric properties
- Characterize a matrix to have circular or elliptic numerical range
- Parametricize the boundary curve of the c-numerical range via enveolping method and elliptic curve theory
- Elliptic curves arising in numerical range
- Poncelet property
- Higher numerical range
- c-numerical range
- joint numerical range
- rank-k-numerical range
- linear pencil
- matrix polynomial
- Special matrices
- Classical and c-numerical range of tridiagonal matirces
- c-numerical range of generalized circulant matrices
- Numerical range of a continuant matrix
- c-numerical range of a rank one matrix
- Algorithms
- Plotting c-numerical range
- Numerical area of c-numerical range
- Applications
- Positiveness of a tridiagonal matrix
- Bounds for for zeros of a ploynomial
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- Geometric properties
- Sign pattern matrices
- Require a specific property
- Allow a specific property
- Number of independent sets of a graph
- Independent sets of a graph
- Independ edge of a graph
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