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In this work, the sign distribution for all inverse elements of general tridiagonal H-matrices is presented. In addition, some computable upper and lower bounds for the entries of the inverses of diagonally dominant tridiagonal matrices are obtained. Based on the sign distribution , these bounds greatly improve some well-known results [25] and so forth. It(More)
Eliminating synchronizations is one of the important techniques related to minimizing communications for modern high performance computing. This paper discusses principles of reducing communications due to global synchroniza-tions in sparse iterative solvers on distributed supercomputers. We demonstrates how to minimizing global synchro-nizations by(More)