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2020-04-13 16:24:12 +0200 | commented answer | How to solve a linear equation within a field of rational functions? That's an interesting solution. Thank you! |
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2020-04-13 12:50:06 +0200 | asked a question | How to solve a linear equation inside a field of rational functions? I have a field of rational functions over the rational numbers in 4 variables: K = Frac(PolynomialRing(QQ,'x,y,z,w')) and some explicit elements R[0],...,R[n] in K. Is there a way to solve the equation a[0]R[0] + ... + a[n]R[n] == 0 with a[i] in QQ? That is, I would like to first check if there are any solutions. In the positive case, then I would like an explicit solution. |
2020-04-13 12:50:06 +0200 | asked a question | How to solve a linear equation within a field of rational functions? I have a field of rational functions over the rational numbers in 4 variables: K = Frac(PolynomialRing(QQ,'x,y,z,w')) and some explicit elements R[0],...,R[n] in K. Is there a way to solve the equation a[0]R[0] + ... + a[n]R[n] == 0 with a[i] in QQ? That is, I would like to first check if there are any solutions. In the positive case, then I would like an explicit solution. |
2020-04-13 12:50:05 +0200 | asked a question | How to solve a linear equation within a field of rational functions? I have a field of rational functions over the rational numbers in 4 variables: K = Frac(PolynomialRing(QQ,'x,y,z,w')) and some explicit elements R[0],...,R[n] in K. Is there a way to solve the equation a[0]R[0] + ... + a[n]R[n] == 0 with a[i] in QQ? That is, I would like to first check if there are any solutions. In the positive case, then I would like an explicit solution. |