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## [Maxima-bugs] [ maxima-Bugs-850884 ] algsys fails in simple case

 [Maxima-bugs] [ maxima-Bugs-850884 ] algsys fails in simple case From: SourceForge.net - 2003-11-28 20:30:19 ```Bugs item #850884, was opened at 2003-11-28 15:30 Message generated for change (Tracker Item Submitted) made by Item Submitter You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=850884&group_id=4933 Category: None Group: None Status: Open Resolution: None Priority: 5 Submitted By: Stavros Macrakis (macrakis) Assigned to: Nobody/Anonymous (nobody) Summary: algsys fails in simple case Initial Comment: eqs: [ v^2 - 2*v + u^2 + 10*u + 1, v^2 - 10*v + u^2 + 2*u + 1 ] solve(eqs,[u,v]) => [] But in fact eqs is solvable: eqs1: [ eqs[1], eqs[1]-eqs[2] ]; solve(eqs1, [u,v]) => [[u = -(sqrt(34) + 6) / 2, v = (sqrt(2)*sqrt(17) + 6) / 2], [u = (sqrt(34) - 6) / 2, v = -(sqrt(2)*sqrt(17) - 6) / 2]] That solution is correct, as you can verify with subst followed by radcan. For that matter, eliminate also works. Maxima 5.9.0/W2k tested with both gcd:subres and gcd:spmod Found starting with a problem report submitted by Kirk Lancaster (27 Nov 2003). ---------------------------------------------------------------------- You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=850884&group_id=4933 ```

 [Maxima-bugs] [ maxima-Bugs-850884 ] algsys fails in simple case From: SourceForge.net - 2003-11-28 20:30:19 ```Bugs item #850884, was opened at 2003-11-28 15:30 Message generated for change (Tracker Item Submitted) made by Item Submitter You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=850884&group_id=4933 Category: None Group: None Status: Open Resolution: None Priority: 5 Submitted By: Stavros Macrakis (macrakis) Assigned to: Nobody/Anonymous (nobody) Summary: algsys fails in simple case Initial Comment: eqs: [ v^2 - 2*v + u^2 + 10*u + 1, v^2 - 10*v + u^2 + 2*u + 1 ] solve(eqs,[u,v]) => [] But in fact eqs is solvable: eqs1: [ eqs[1], eqs[1]-eqs[2] ]; solve(eqs1, [u,v]) => [[u = -(sqrt(34) + 6) / 2, v = (sqrt(2)*sqrt(17) + 6) / 2], [u = (sqrt(34) - 6) / 2, v = -(sqrt(2)*sqrt(17) - 6) / 2]] That solution is correct, as you can verify with subst followed by radcan. For that matter, eliminate also works. Maxima 5.9.0/W2k tested with both gcd:subres and gcd:spmod Found starting with a problem report submitted by Kirk Lancaster (27 Nov 2003). ---------------------------------------------------------------------- You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=850884&group_id=4933 ```
 [Maxima-bugs] [ maxima-Bugs-850884 ] algsys fails in simple case From: SourceForge.net - 2006-07-13 06:01:11 ```Bugs item #850884, was opened at 2003-11-28 13:30 Message generated for change (Settings changed) made by robert_dodier You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=850884&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. >Category: Lisp Core Group: None Status: Open Resolution: None Priority: 5 Submitted By: Stavros Macrakis (macrakis) Assigned to: Nobody/Anonymous (nobody) Summary: algsys fails in simple case Initial Comment: eqs: [ v^2 - 2*v + u^2 + 10*u + 1, v^2 - 10*v + u^2 + 2*u + 1 ] solve(eqs,[u,v]) => [] But in fact eqs is solvable: eqs1: [ eqs[1], eqs[1]-eqs[2] ]; solve(eqs1, [u,v]) => [[u = -(sqrt(34) + 6) / 2, v = (sqrt(2)*sqrt(17) + 6) / 2], [u = (sqrt(34) - 6) / 2, v = -(sqrt(2)*sqrt(17) - 6) / 2]] That solution is correct, as you can verify with subst followed by radcan. For that matter, eliminate also works. Maxima 5.9.0/W2k tested with both gcd:subres and gcd:spmod Found starting with a problem report submitted by Kirk Lancaster (27 Nov 2003). ---------------------------------------------------------------------- You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=850884&group_id=4933 ```
 [Maxima-bugs] [ maxima-Bugs-850884 ] algsys fails in simple case From: SourceForge.net - 2006-09-09 05:41:37 ```Bugs item #850884, was opened at 2003-11-28 13:30 Message generated for change (Settings changed) made by robert_dodier You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=850884&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. >Category: Lisp Core - Solving equations Group: None Status: Open Resolution: None Priority: 5 Submitted By: Stavros Macrakis (macrakis) Assigned to: Nobody/Anonymous (nobody) Summary: algsys fails in simple case Initial Comment: eqs: [ v^2 - 2*v + u^2 + 10*u + 1, v^2 - 10*v + u^2 + 2*u + 1 ] solve(eqs,[u,v]) => [] But in fact eqs is solvable: eqs1: [ eqs[1], eqs[1]-eqs[2] ]; solve(eqs1, [u,v]) => [[u = -(sqrt(34) + 6) / 2, v = (sqrt(2)*sqrt(17) + 6) / 2], [u = (sqrt(34) - 6) / 2, v = -(sqrt(2)*sqrt(17) - 6) / 2]] That solution is correct, as you can verify with subst followed by radcan. For that matter, eliminate also works. Maxima 5.9.0/W2k tested with both gcd:subres and gcd:spmod Found starting with a problem report submitted by Kirk Lancaster (27 Nov 2003). ---------------------------------------------------------------------- You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=850884&group_id=4933 ```
 [Maxima-bugs] [ maxima-Bugs-850884 ] algsys fails in simple case From: SourceForge.net - 2006-09-15 12:16:40 ```Bugs item #850884, was opened at 2003-11-28 14:30 Message generated for change (Comment added) made by willisbl You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=850884&group_id=4933 Please note that this message will contain a full copy of the comment thread, including the initial issue submission, for this request, not just the latest update. Category: Lisp Core - Solving equations Group: None Status: Open Resolution: None Priority: 5 Submitted By: Stavros Macrakis (macrakis) Assigned to: Nobody/Anonymous (nobody) Summary: algsys fails in simple case Initial Comment: eqs: [ v^2 - 2*v + u^2 + 10*u + 1, v^2 - 10*v + u^2 + 2*u + 1 ] solve(eqs,[u,v]) => [] But in fact eqs is solvable: eqs1: [ eqs[1], eqs[1]-eqs[2] ]; solve(eqs1, [u,v]) => [[u = -(sqrt(34) + 6) / 2, v = (sqrt(2)*sqrt(17) + 6) / 2], [u = (sqrt(34) - 6) / 2, v = -(sqrt(2)*sqrt(17) - 6) / 2]] That solution is correct, as you can verify with subst followed by radcan. For that matter, eliminate also works. Maxima 5.9.0/W2k tested with both gcd:subres and gcd:spmod Found starting with a problem report submitted by Kirk Lancaster (27 Nov 2003). ---------------------------------------------------------------------- >Comment By: Barton Willis (willisbl) Date: 2006-09-15 07:16 Message: Logged In: YES user_id=895922 Maxima can't even solve a triangular form of these equations: (%o5) [2*v^2-12*v+1,v^2-2*v+u^2+10*u+1] (%i6) algsys(%,[v,u]); (%o6) [] Eliminating v^2 in the second equation allows Maxima to finish: (%i7) [%o5[1],ratsubst((12*v-1)/2,v^2,%o5[2])]; (%o7) [2*v^2-12*v+1,(8*v+2*u^2+20*u+1)/2] (%i8) algsys(%,[v,u]); (%o8) [[v=-(sqrt(2)*sqrt(17)-6)/2,u=-(sqrt(34)+14)/2],...] ---------------------------------------------------------------------- You can respond by visiting: https://sourceforge.net/tracker/?func=detail&atid=104933&aid=850884&group_id=4933 ```