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✓>> solve({x^2 + 1 = y, y^2 - 1 = x}, {x, y})✏2{[x = 0, y = 1], [x = y - 1, y =2 3RootOf(X33 - X33 + X33 - 2, X33)]}>> solve(cos(x) = 1)✒x in { 2*PI*X35 | X35 in Z_ }✑To do:Introduce a unique output format.The Open Computer Algebra System 4
Subroutines of the system solverThe system solver splits into subroutines for the following cases:• Systems that contain inequalities. Normally, these cannot be solved.• Linear systems. They are solved using Gaussian elimination.• Polynomial systems.• Systems with only one equation. This case is passed to the equation solver.If no method applies, an unevaluated call to solve is returned.The Open Computer Algebra System 5
Page 1 and 2: The MuPAD solverPart IIMuPAD semina
Page 3: The system solverCalled if:• the
Page 7 and 8: Solving algebraic systemsLet a syst
Page 9 and 10: ExampleConsider the system2xy 2 −
Page 11 and 12: To do:We should use walk methods, b
Page 13 and 14: For each list, MuPAD now solves the
Page 15 and 16: Remark:At the moment, (systems of)
Page 17 and 18: NOTE THAT:This part of the solver h
Page 19 and 20: The corresponding equation has the
Page 21 and 22: Another example showing a few of th
Page 23 and 24: Hence we insert three points for x
Page 25 and 26: The handling of optionsThe function
Page 27 and 28: The meaning of the optionsMost opti
Page 29 and 30: Weaknesses and subjects to discussT

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