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A Modified Staggered Correction Arithmetic with Enhanced Accuracy and Very Wide Exponent Range Blomquist, Frithjof Hofschuster, Werner Krämer, Walter Staggered correction multiple precision C-XSC interval computation wide exponent range reliable numerical computations complex interval funct A so called staggered precision arithmetic is a special kind of a multiple precision arithmetic based on the underlying floating point data format (typically IEEE double format) and fast floating point operations as well as exact dot product computations. Due to floating point limitations it is not an arbitrary precision arithmetic. However, it typically allows computations using several hundred mantissa digits. A set of new modified staggered arithmetics for real and complex data as well as for real interval and complex interval data with very wide exponent range is presented. Some applications show the increased accuracy of computed results compared to ordinary staggered interval computations. The very wide exponent range of the new arithmetic operations allows computations far beyond the IEEE data formats. The new arithmetics would be extremly fast, if an exact dot product was available in hardware (the fused accumulate and add instruction is only one step in this direction). Schloss Dagstuhl – Leibniz-Zentrum für Informatik Frithjof Blomquist and Werner Hofschuster and Walter Krämer 2008 Is Part Of Dagstuhl Seminar Proceedings, Volume 8021, Numerical Validation in Current Hardware Architectures (2008) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/DagSemProc.08021.3 urn:nbn:de:0030-drops-14454 https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.08021.3 eng https://creativecommons.org/licenses/by/4.0/legalcode