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...

The analytic element method, like the boundary integral equation method, gives rise to a system of equations with a fully populated coefficient matrix. For simple problems, these systems of equations are linear, and a direct solution method, such as Gauss elimination, offers the most efficient solution strategy. However, more realistic models of regional ground water flow involve nonlinear equa...

Let Ax = b be a large, sparse, nonsymmetric system of linear equations. A new sparse approximate inverse preconditioning technique for such a class of systems is proposed. We show how the matrix A−1 0 −A−1, where A0 is a nonsingular matrix whose inverse is known or easy to compute, can be factorized in the form UΩV T using the Sherman–Morrison formula. When this factorization process is done in...

This paper derives the analytical solution of a novel distributed node-specific block-diagonal linearly constrained minimum variance beamformer from centralized (LCMV) when considering that noise covariance matrix is block-diagonal. To further reduce computational complexity proposed beamformer, Sherman–Morrison–Woodbury formula introduced to compute inversion at each node. By doing so, we can ...

To properly characterize a spatio-temporal random process, it is necessary to understand the process’ dependence structure. It common describe this using single error having complicated covariance. Instead of approach, we processes linear mixed models several errors; each describes specific quality This model formulation general, intuitive, and contains many commonly used covariance functions a...

The existing methods for calculating electromagnetic scattering can be used to obtain the RCS of power lines. However, these do not take advantage periodicity We propose a fast calculation method combining integral equation discontinuous Galerkin (IEDG) and characteristic modes-Sherman–Morrison–Woodbury algorithm (CM-SMWA) exploiting lines with stranded structure. adopt IEDG discretize electric...