We consider solution of multiply shifted systems of nonsymmetric linear equations, possibly also with multiple right-hand sides. First, for a single right-hand side, the matrix is shifted by several multiples of the identity. Such problems arise in a number of applications, including lattice quantum chromodynamics where the matrices are complex and non-Hermitian. Some Krylov iterative methods s...

We consider solution of multiply shifted systems of nonsymmetric linear equations, possibly also with multiple right-hand sides. First, for a single right-hand side, the matrix is shifted by several multiples of the identity. Such problems arise in a number of applications, including lattice quantum chromodynamics where the matrices are complex and non-Hermitian. Some Krylov iterative methods s...

The solution $x_n\left(t\right)$, $n=1,2,$ of the \textit{initial-values} problem is reported \textit{autonomous} system $2$ coupled first-order ODEs with \textit{homogeneous cubic polynomial} right-hand sides, \begin{eqnarray} \dot{x}_n = c_{n1} \left(x_1\right)^3 + c_{n2}\left( x_1\right)^2 x_2 c_{n3} x_1 \left(x_2\right)^2+c_{n4} \left(x_2\right)^3\ ,\quad n=1,2\ , \nonumber \end{eqnarray} w...

A numerical scheme is presented for the solution of Fredholm second-kind boundary integral equations with right-hand sides that are singular at a finite set points. The boundaries themselves may be non-smooth. scheme, which builds on recursively compressed inverse preconditioning (RCIP), universal as it independent nature singularities. Strong right-hand-side singularities, such 1/|r|α α close ...

Using a recently proposed communication optimal variant of TSQR, weak scalability of the least squares solver (LS) with multiple right hand sides is studied. The communication for TSQR based LS solver for multiple right hand sides remains optimal in the sense that no additional messages are necessary compared to TSQR. However, LS has additional communication volume and flops compared to that fo...

A deflated restarted Lanczos algorithm is given for both solving symmetric linear equations and computing eigenvalues and eigenvectors. The restarting limits the storage so that finding eigenvectors is practical. Meanwhile, the deflating from the presence of the eigenvectors allows the linear equations to generally have good convergence in spite of the restarting. Some reorthogonalization is ne...

Abstract Developments in numerical simulation of flows and high-performance computing influence one another. More detailed methods create a permanent need for more computational power, while new hardware developments often require changes to the software exploit features. This dependency is very pronounced case vector-units which are featured by all modern processors increase their throughput b...

OBJECTIVE We described the frequency and distribution of keyboard users' potentially risky postural behaviors. METHOD Forty-three participants' keyboard postural behaviors were rated with the Keyboard-Personal Computer Style instrument (Baker & Redfern, 2005). The frequency and distribution of keyboard postural behaviors and the associations and differences between the right and left sides we...

We consider CFDnc, an alternative to the description logic CFD that retains the latter’s ability to support PTIME reasoning in the presence of terminological cycles with universal restrictions over functional roles and also in the presence of functional constraints over functional role paths. In contrast, CFDnc replaces the ability to have conjunction on left-hand-sides of inclusion dependencie...