We present a parallel algorithm for the QIF (Quadrant Interlocking Factorization) method, which solves linear equation systems using WZ factorization. The parallel algorithm we developed is general in the sense that it does not impose any restrictions on the size of the problem and that it is independent from the dimensions oJ the mesh. The result is an efficient algorithm using half the messag...

We give a matrix factorization for the solution of the linear system Ax = f , when coefficient matrix A is a dense symmetric positive definite matrix. We call this factorization as "WW T factorization". The algorithm for this factorization is given. Existence and backward error analysis of the method are given. The WDWT factorization is also presented. When the coefficient matrix is a symmetric...

An article identifies and assesses an effectiveness of two different methods applied to solve linear equations systems which result while modeling of computer networks and systems with Markov chains. The paper considers both the hybrid of direct methods as well as classic one of iterative methods. Two varieties of Gauss elimination will be considered as an example of direct methods: the LU fact...

In the article a new approach for solving Markovian linear systems is presented. It is the inverse iteration with the use of the WZ factorization. The paper contains the theoretical base of the method and numerical experiment results where the accuracy and the performance time were investigated. A modified (with the use of the SBLAS library and the Harwell-Boeing sparse matrix storage scheme) m...

We show that massless RR tadpoles in vacuum configurations with open and unoriented strings are always related to anomalies. RR tadpoles arising from sectors of the internal SCFT with non-vanishing Witten index are in one-to-one correspondence with conventional irreducible anomalies. The anomalous content of the remaining RR tadpoles can be disclosed by considering anomalous amplitudes with hig...

Phytophthora nicotianae is a devastating oomycete plant pathogen with wide host range. On tobacco, it causes black shank, disease that can result in severe economic losses. Deployment of resistance one the most effective means controlling tobacco but adaptation to complete and partial by P. limit long-term effectiveness resistance. The molecular basis largely unknown. RNAseq was performed on tw...