Dixon, John D. Exact solution of linear equations using p-adic expansions. (English) Zbl 0492.65016 Numer. Math. 40, 137-141 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 50 Documents MSC: 65F05 Direct numerical methods for linear systems and matrix inversion 15A06 Linear equations (linear algebraic aspects) 12J10 Valued fields 11A63 Radix representation; digital problems Keywords:exact arithmetic; p-adic approximation; rational approximation; integer matrix; successive refinements; Euclidean algorithm Citations:Zbl 0374.68035 PDFBibTeX XMLCite \textit{J. D. Dixon}, Numer. Math. 40, 137--141 (1982; Zbl 0492.65016) Full Text: DOI EuDML References: [1] Cabay, S., Lam, T.P.L.: Congruence techniques for the exact solution of integer systems of linear equations. ACM Trans. Math. Software3, 386–397 (1977) · Zbl 0374.68035 · doi:10.1145/355759.355765 [2] Khinchin, A.Ya.: Continued Fractions, 3rd ed. Chicago: Univ. Chicago Press 1961 · JFM 63.0924.02 [3] Knuth, D.: The Art of Computer Programming, Volume 2. Reading, MA: Addison-Wesley, 1969 · Zbl 0191.18001 [4] Krishnamurthy, E.V., Rao, T.M., Subramanian, K.:P-adic arithmetic procedures for exact matrix computations. Proc. Indian Acad. Sci.82A, 165–175 (1975) · Zbl 0327.65030 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.