Area of research
Computational Theory and Mathematics · Applied Mathematics
Research interest
Research interests include Matrix Theory and Algorithms, Advanced Topics in Algebra, Mathematical Inequalities and Applications, and Advanced Algebra and Geometry.
A new weighted spectral geometric mean and properties
Extensions of Yamamoto-Nayak's theorem
On Positive Partial Transpose Matrices
Positive semi-definite 2 × 2 block matrices and norm inequalities
Spectral decomposition of selfadjoint matrices in positive semidefinite inner product spaces and its applications
The general $\phi$-Hermitian solution to mixed pairs of quaternion matrix Sylvester equations
Toeplitz matrices are unitarily similar to symmetric matrices
Weight distribution of Iwasawa projection
Inversion of conjugate-Toeplitz matrices and conjugate-Hankel matrices
Geometry and inequalities of geometric mean
Derivatives of orbital function and anextension of Berezin-Gel’fand’s theorem
Minimum energy consumption for rate monotonic scheduled tasks
Extension of Wang-Gong monotonicity resultin semisimple Lie groups
Determinants and inverses of<i>r</i>-circulant matrices associated with a number sequence
Convergence of Aluthge iteration in semisimple Lie groups
Extensions of Three Matrix Inequalities to Semisimple Lie Groups
Rutishauser’s LR algorithm and Bruhat iteration
Singular values and eigenvalues of matrices in $\mathfrak{so}_n(\mathbb{C})$ and $\mathfrak{sp}_n(\mathbb{C})$
On Ky Fan's result on eigenvalues and real singular values of a matrix
Determinants and inverses of circulant matrices with Jacobsthal and Jacobsthal–Lucas Numbers
Determinants of sum of orbits under compact Lie group
Determinants of sums of two real matrices and their extensions
Gradient flows for the minimum distance to the sum of adjoint orbits
Anti-diagonals of symmetric and skew symmetric matrices with prescribed eigenvalues