background: repeated implantation failure (rif) is a major challenge in reproductive medicine and despite several methods that have been described for management, there is little consensus on the most effective one. objective: this study was conducted to evaluate the effectiveness of platelet-rich plasma in improvement of pregnancy rate in rif patients. materials and methods: twenty women with ...

LAPACK and LINPACK both solve symmetric indefinite linear systems using the diagonal pivoting method with the partial pivoting strategy of Bunch and Kaufman [Math. Comp., 31 (1977), pp. 163–179]. No proof of the stability of this method has appeared in the literature. It is tempting to argue that the diagonal pivoting method is stable for a given pivoting strategy if the growth factor is small....

Department of Electrical Engineering and Computer Science, University of Tennessee, Knoxville, USA Correspondence Ichitaro Yamazaki, Department of Electrical Engineering and Computer Science, University of Tennessee, Knoxville, USA. Email: [email protected] Funding information National Science Foundation NVIDIAMatrix Algebra for GPU andMulticore Architectures (MAGMA) for Large Petascale Sys...

This paper presents the first hybrid MPI+OpenMP+CUDA implementation of a distributed memory right-looking unsymmetric sparse direct solver (i.e., sparse LU factorization) that uses static pivoting. While BLAS calls can account for more than 40% of the overall factorization time, the difficulty is that small problem sizes dominate the workload, making efficient GPU utilization challenging. This ...

The Crout variant of ILU preconditioner (ILUC) developed recently has been shown to have a number of advantages over ILUT, the conventional row-based ILU preconditioner [14]. This paper explores pivoting strategies for sparse symmetric matrices to improve the robustness of ILUC. This paper shows how to integrate two symmetry-preserving pivoting strategies, the diagonal pivoting and the Bunch-Ka...

We combine the idea of the direct LU factorization with the idea of the pivoting strategy in the usual Gaussian elimination and show that two so-called total scaled and total pivoting strategies can be employed in addition to the traditional pivoting strategies: partial scaled, partial, and direct diagonal. In this paper we o er a general LU factorization with total scaled pivoting algorithm fr...

Mycobacterium tuberculosis is a concern in patients with human immunodeficiency virus (HIV) infection. Rifampin (RIF), an agent used against M. tuberculosis, is contraindicated with most HIV protease inhibitors. Atazanavir (ATV) has clinical efficacy comparable to a standard of care regimen in naive patients and, when dosed with low-dose ritonavir (RTV), also in treatment-experienced patients. ...