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We present a new parallel algorithm to compute an exact triangularization of large square or rectangular and dense or sparse matrices in any field. Using fast matrix multiplicatio...
Abstract. We propose a new adaptive algorithm for the exact simultaneous resolution of several triangular systems over finite fields: it is composed of several practicable variants...
In this paper, we consider a special type of triangular range search for a planar point set S in the I/O-model. Here, two sides of the query triangle are parallel to the coordinat...
An implementation of a parallel ScaLAPACK-style solver for the general Sylvester equation, op(A)X −Xop(B) = C, where op(A) denotes A or its transpose AT , is presented. The paral...
Abstract. We describe a parallel Fortran 77 implementation, in ScaLAPACK style, of a block matrix 1-norm estimator of Higham and Tisseur. This estimator differs from that underlyi...