-
Article
Computing Partial Quaternion Eigenpairs with Quaternion Shift
The existing shift technique for quaternion matrix computation is to use real shifts rather than quaternion shifts, because quaternions are multiplicatively non-commutative in general. This becomes the obstacl...
-
Article
All-at-once method for variable-order time fractional diffusion equations
We propose a fast solver for the variable-order (VO) time-fractional diffusion equation. Due to the impact of the time-dependent VO function, the resulting coefficient matrix of the large linear system assembl...
-
Article
Computing top eigenpairs of Hermitizable matrix
The top eigenpairs at the title mean the maximal, the submaximal, or a few of the subsequent eigenpairs of an Hermitizable matrix. Restricting on top ones is to handle with the matrices having large scale, for...
-
Article
A Fast Algorithm for the Variable-Order Spatial Fractional Advection-Diffusion Equation
We propose a fast algorithm for the variable-order (VO) space-fractional advection-diffusion equations with nonlinear source terms on a finite domain. Due to the impact of the space-dependent the VO, the resul...
-
Article
Fast Numerical Contour Integral Method for Fractional Diffusion Equations
The numerical contour integral method with hyperbolic contour is exploited to solve space-fractional diffusion equations. By making use of the Toeplitz-like structure of spatial discretized matrices and the re...
