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convert/horner
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Calling Sequence
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convert(f, 'horner', x)
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Parameters
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f
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polynomial or rational function in x, or set, list or relation of these; expression to be converted
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x
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(optional) name, list of names or set of names; the variable or variables with respect to which the conversion is performed
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Description
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The convert(f, 'horner', x) command converts the input to horner form with respect to x, or the names in x if this argument is a list or set.
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If x is omitted, it is taken as indets(f,name).
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If x is given as a list or set of names, the conversion is applied recursively to the coefficients of f in the first variable given. A list allows for control over the order of the conversions.
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If f is a set, list or relation, the result is map(convert, f, 'horner', x).
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Any subexpressions of f which are not either polynomials or rational functions in x are frozen via a call to frontend prior to conversion.
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Examples
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>
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| (2) |
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| (3) |
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![convert(poly, horner, [x, y])](/support/helpjp/helpview.aspx?si=5551/file03663/math106.png)
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| (4) |
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![convert(poly, horner, [y, x])](/support/helpjp/helpview.aspx?si=5551/file03663/math113.png)
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| (5) |
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![convert((x[i]^2-3*x[i]+2)/(4*x[i]-2*x[i]^3-2+x[i]^2), horner)](/support/helpjp/helpview.aspx?si=5551/file03663/math120.png)
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![(2+(-3+x[i])*x[i])/(-2+(4+(1-2*x[i])*x[i])*x[i])](/support/helpjp/helpview.aspx?si=5551/file03663/math123.png)
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| (7) |
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![convert([3*b^3-2*b^2+b-1, (2-b)/(3*b^2-5*b+6)], horner)](/support/helpjp/helpview.aspx?si=5551/file03663/math134.png)
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![[-1+(1+(-2+3*b)*b)*b, (2-b)/(6+(-5+3*b)*b)]](/support/helpjp/helpview.aspx?si=5551/file03663/math137.png)
| (8) |
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>
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| (9) |
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