http://www.mapleprimes.com/posts/39353-Solving-Dense-Linear-Systems-In-Maple-12 en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Mon, 15 Jun 2026 23:10:43 GMT Mon, 15 Jun 2026 23:10:43 GMT The latest comments added to the Post, Solving Dense Linear Systems in Maple 12 http://www.mapleprimes.com/images/mapleprimeswhite.jpg http://www.mapleprimes.com/posts/39353-Solving-Dense-Linear-Systems-In-Maple-12 http://www.mapleprimes.com/posts/39353-Solving-Dense-Linear-Systems-In-Maple-12?ref=Feed:MaplePrimes:Solving Dense Linear Systems in Maple 12:Comments#comment71622 <p>I thought I would post a few more times for linear systems with smaller entries. The systems above have large solutions, ie: the numerators and denominators of the last solution have 20000 bits, or about 6000 decimal digits each. That's a lot of lifting steps.</p> <p>These times are all from a Pentium 4 3.2 GHz, computer running 32-bit Maple 12. The matrix entries range from -5 to 5. The numerators and denominators of the last system have about 4000 decimal digits. On structured systems (where the solution is expected to be small) you could obviously get much better performance.</p> <pre> read &quot;dpadic.mpl&quot;: infolevel[solve] := 0: with(LinearAlgebra): for N from 8 to 11 do A := RandomMatrix(2^N, 2^N+1,generator=-5..5): TIMER := time(DensePadicLift(A,2^N)); print(2^N = TIMER); end do: 256 = 1.276 512 = 7.772 1024 = 54.499 2048 = 496.655 </pre> The latest comments added to the Post, Solving Dense Linear Systems in Maple 12 71622 Mon, 19 May 2008 07:09:42 Z roman_pearce roman_pearce