Aug 11, 2023 � The influence of random equation ordering in a linear system on deriving upper bounds for the convergence speed of the classical successive over-relaxation (�...

Zhou contains two errors which concern the derivation of some auxiliary norm estimates of the lower triangular projection for positive semi-definite Hermitean�...

Aug 11, 2023 � CORRECTION. Correction: Random reordering in SOR-type methods. Peter Oswald1 � Weiqi Zhou2. Received: 29 March 2023 / Accepted: 29 March 2023�...

Aug 11, 2023 � In this paper, we derive upper bounds that characterize the rate of convergence of the SOR method for solving a linear system of the form Gx=b,�...

Oswald P., Zhou W. Correction: Random reordering in SOR-type methods // Numerische Mathematik. 2023. Vol. 154. No. 3-4. pp. 521-525. ... Oswald P., Zhou W.

We show error bounds for two randomized versions, called shuffled and preshuffled SOR, that improve upon the best known bounds for SOR with cyclic ordering. Our�...

Abstract. When iteratively solving linear systems By = b with Hermitian positive semi-definite B, and in particular when solving least-squares problems for�...

This paper is an attempt to provide some additional theoretical support for this phenomenon. We show error bounds for two randomized versions, called shuffled�...

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Merge sort merges (sorted) subarrays until it has merged the entire array. There are two main ways of implementing merge sort: bottom-up and top-down.