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Exact solution of linear equations using p-adic expansions. (English) Zbl 0492.65016


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

Citations:

Zbl 0374.68035
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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
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