network profile
| bio | website | |
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| visits | member for | 4 months |
| seen | Feb 6 at 9:09 | |
| stats | profile views | 32 |
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Jan 16 |
comment |
Can mathematica solve this equation? Now I replaced '[' by '{' which means array in mathematica. Thanks. |
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Jan 16 |
revised |
Can mathematica solve this equation? edited body |
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Jan 16 |
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Can mathematica solve this equation? Hi Artes, thank you for your kindly reply. I mean that they are 3 equations: a1=2*(x1+x2-2*x5), b1=2*(y1+y2-2*y5), c1=2*(z1+z2-2*z5). Thanks. |
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Jan 16 |
awarded | Commentator |
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Jan 16 |
comment |
Can mathematica solve this equation? Dear Dr. Artes, thank you very much for your kindly suggestion. I have edited my question. Is it clear enough to understand now? Thanks. |
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Jan 16 |
revised |
Can mathematica solve this equation? added 1333 characters in body |
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Jan 16 |
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Can mathematica solve this equation? Dear Dr. Artes, thank you very much for your kindly reply. My real problem is come from isoparameteric finite element for quadratic tetrahedron element. I need to get the iteroplation fast and accurate. I only find articles by iterative method and I want to know whether it is possible to get an analytical solution. Now it seems impossible or meanless:( Thanks. |
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Jan 16 |
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Can mathematica solve this equation? Hi Artes, in the iteration I only solve {x,y} which is easy to give an expression by mathematica (contains z). The initial guess z0 is used to calculate x and y and then use third equation to update z, and so on. I don't know what's the convergence of this iteration or is there any better iterative method. Thanks. |
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Jan 16 |
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Can mathematica solve this equation? Dear Dr. Artes, Thank you very much for your detailed explaination. I noticed that it is impossible or meanless to get the solution of all 'symbolic' equations. However, I am trying to solve this equation by iteration: 1) give an initial guess of z=z0; 2) sol=Solve[{a2*x+a4*y+a6*z+a7*x*y+a8*y*z+a9*z*x==a10,b2*x+b4*y+b6*z+b7*x*y+b8*y*z+b9*z*x==b10},{x,y}]; xx=x/.sol yy=y/.sol 3) update z by c2*x+c4*y+c6*z+c7*x*y+c8*y*z+c9*z*x==c10 4) if convergence return, else goto 1) Now the problem is that how to estimate the convergence of this iterative method? Any better iterative method? Thanks. |
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Jan 15 |
awarded | Editor |
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Jan 15 |
revised |
Can mathematica solve this equation? added 345 characters in body |
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Jan 15 |
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Can mathematica solve this equation? Hi Verbeia, thank you very much for your kindly reply. Can we find a transform to elimate the terms x*y, y*z and z*x in above equations (and don't increase x^1, y^1 and z^1 terms)? I know that for a invertible matrix A we can find P and Q to let P*A*Q=D, where D is a diagonal matrix. Thanks. |
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Jan 15 |
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Can mathematica solve this equation? Hi Verbeia, thanks for your kindly reply. Why do you say it is a sixth-order polynomial? I think it is second-order polynomial. Anything I have misunderstood? Tang Laoya |
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Jan 15 |
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Can mathematica solve this equation? Hi Verbeia, Thanks for help me to edit this item. Tang Laoya |
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Jan 15 |
asked | Can mathematica solve this equation? |
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Jan 14 |
awarded | Nice Question |
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Jan 14 |
awarded | Scholar |
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Jan 14 |
comment |
How can I get Mathematica to produce better Fortran code? Thank you very much! |
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Jan 14 |
accepted | How can I get Mathematica to produce better Fortran code? |
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Jan 14 |
awarded | Supporter |
