Transpose symmetry of the Jones matrix and topological phases.

An accelerated gradient based iterative algorithm for solving systems of coupled generalized Sylvester-transpose matrix equations

‎In this paper‎, ‎an accelerated gradient based iterative algorithm for solving systems of coupled generalized Sylvester-transpose matrix equations is proposed‎. ‎The convergence analysis of the algorithm is investigated‎. ‎We show that the proposed algorithm converges to the exact solution for any initial value under certain assumptions‎. ‎Finally‎, ‎some numerical examples are given to demons...

Lower bounds of Copson type for the transpose of matrices on weighted sequence spaces

Symmetry fractionalization: symmetry-protected topological phases of the bond-alternating spin-1/2 Heisenberg chain.

We study different phases of the one-dimensional bond-alternating spin-1/2 Heisenberg model by using the symmetry fractionalization mechanism. We employ the infinite matrix-product state representation of the ground state (through the infinite-size density matrix renormalization group algorithm) to obtain inequivalent projective representations and commutation relations of the (unbroken) symmet...

Symmetry Fractionalization and Topological Order

In this article, I would first introduce a new phase of matter with symmetry fractionalization and symmetry protected topological orders. Such a system is beyond Landau's symmetry breaking theory. For a symmetry protected topological ordered state, even without symmetry breaking, it is still different from a conventional non-symmetry breaking one as it cannot be adiabatically connected to a tri...

Some Modifications to Calculate Regression Coefficients in Multiple Linear Regression

In a multiple linear regression model, there are instances where one has to update the regression parameters. In such models as new data become available, by adding one row to the design matrix, the least-squares estimates for the parameters must be updated to reflect the impact of the new data. We will modify two existing methods of calculating regression coefficients in multiple linear regres...