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The work with not quadrat matrix. How better solve? See please the attached sm-file.  1-Asteroid-5-Points.sm (26kb) downloaded 14 time(s).Edited by user 01 November 2023 19:02:45(UTC)
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Originally Posted by: OchkovVF  The work with not quadrat matrix.
How better solve? As it looks, the blue planet and green voyager are tangent. Take care Valery ... Jean. 1-Asteroid-5-Points.sm (35kb) downloaded 2 time(s).
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Hi Valery. You can use dn_LinAlgLLS_SVD or dn_LinAlgLLS_COF or dn_LinAlgLLS_QRorLQ for non-square matrices, instead dn_LinAlgSolve. 1-Asteroid-5-Points.sm (28kb) downloaded 3 time(s).Best regards. Alvaro.
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A little more compact.  Best regards. Alvaro.
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Originally Posted by: OchkovVF ... New problem with Ranks Hi Valery. SMath really needs to improve on linear algebra. As a workaround, you can redefine rank with a plugin  Also, the problem with rank is not that it can't deal with complicated arrays, it can't handle simple ones either  10-2-Asteroid-7-points-Rank.sm (20kb) downloaded 5 time(s).Best regards- Alvaro.
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on 02/11/2023(UTC), on 03/11/2023(UTC)
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Originally Posted by: OchkovVF Why? Hi. Due to numerical errors. These ranks are evaluated with numerical procedures. That means that for some cases they must necessarily fail. You can introduce some kind of tolerance in the function. Maple also fails in this example.  This shows that the rank function that is executed is that of maple.  However, I don't know how to call Maxima's rank function, it is not in the Takeover options. Here some notes about how to handle a little better the issue. 10-2-Asteroid-7-points-Rank.sm (36kb) downloaded 4 time(s).Best regards. Alvaro. Edited by user 03 November 2023 07:52:42(UTC)
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Maxima gives the correct answer. Yet I think that maple is not to blame, because maple(rank(M)) sends 4 to maple. At least this happens with Maxima(rank(M)). In Maxima I have a workaround for such cases. First I convey the definition of M to Maxima and then call rank(M). The format "$...§" conveys everything inside the markup as verbatim expression to Maxima. without giving SMath the chance to interfere. Should not be too complicated to add rank() to the takeover candidates. ![2023-11-03 13_03_03-SMath Solver 1.0.8477 - [10-2-Asteroid-7-points-Rank (1).sm_].png](/forum/resource.ashx?a=48395&b=2) 10-2-Asteroid-7-points-Rank _Kr.sm (41kb) downloaded 3 time(s). |
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on 04/11/2023(UTC), on 04/11/2023(UTC)
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Hi Martin. Originally Posted by: mkraska Maxima gives the correct answer ... Nope. The issue is about a matrix C=augment( A,b ), where b is a column vector so, it must to have the same rank as A.  Originally Posted by: mkraska ... Yet I think that maple is not to blame, because maple(rank(M)) sends 4 to maple. At least this happens with Maxima(rank(M)). Either. In some way maple holds the rank function and evaluates it on its own kernel. Actually, the example with the matrix M is for show that. Best regards. Alvaro.
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