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    <title>MaplePrimes - answers and comments on Question, positive root of polynomial</title>
    <link>http://www.mapleprimes.com/questions/41349-Positive-Root-Of-Polynomial</link>
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    <lastBuildDate>Fri, 12 Jun 2026 13:32:31 GMT</lastBuildDate>
    <pubDate>Fri, 12 Jun 2026 13:32:31 GMT</pubDate>
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    <itunes:summary />
    <description>The latest answers and comments added to the Question, positive root of polynomial</description>
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      <title>MaplePrimes - answers and comments on Question, positive root of polynomial</title>
      <link>http://www.mapleprimes.com/questions/41349-Positive-Root-Of-Polynomial</link>
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    <item>
      <title>positive root of polynomial</title>
      <link>http://www.mapleprimes.com/questions/41349-Positive-Root-Of-Polynomial?ref=Feed:MaplePrimes:positive root of polynomial:Comments#answer77000</link>
      <itunes:summary>From a previous posting:

&lt;a href="http://beta.mapleprimes.com/forum/how-do-i-take-only-positive-root-from-solve-polynomial-x"&gt;http://beta.mapleprimes.com/forum/how-do-i-take-only-positive-root-from-solve-polynomial-x

&lt;em&gt;Regards,
Georgios Kokovidis
Dräger Medical&lt;/em&gt;</itunes:summary>
      <description>From a previous posting:

&lt;a href="http://beta.mapleprimes.com/forum/how-do-i-take-only-positive-root-from-solve-polynomial-x"&gt;http://beta.mapleprimes.com/forum/how-do-i-take-only-positive-root-from-solve-polynomial-x

&lt;em&gt;Regards,
Georgios Kokovidis
Dräger Medical&lt;/em&gt;</description>
      <guid>77000</guid>
      <pubDate>Tue, 22 May 2007 17:18:11 Z</pubDate>
      <itunes:author>gkokovidis</itunes:author>
      <author>gkokovidis</author>
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    <item>
      <title>RootFinding[Isolate], Descarte rules of signs, or Sturm theorem</title>
      <link>http://www.mapleprimes.com/questions/41349-Positive-Root-Of-Polynomial?ref=Feed:MaplePrimes:positive root of polynomial:Comments#answer76994</link>
      <itunes:summary>If you wish to apply some theory yourself then you could first try a web search for Descarte's rules of signs, or the Sturm theorem.

In Maple 11, for a univariate polynomial with rational real coefficients the new command RootFinding[Isolate] can bracket the roots within rational intervals. Judging by the Description in its Maple help-page the underlying methods that it uses do not work internally with floating-point numbers, and do not miss roots due to round-off or related issues.

You did not mention whether the coefficients are rational or floating-point. If any of the coefficients are floating-point real number approximations then you could use fsolve rather than RootFinding[Isolate] directly.

acer</itunes:summary>
      <description>If you wish to apply some theory yourself then you could first try a web search for Descarte's rules of signs, or the Sturm theorem.

In Maple 11, for a univariate polynomial with rational real coefficients the new command RootFinding[Isolate] can bracket the roots within rational intervals. Judging by the Description in its Maple help-page the underlying methods that it uses do not work internally with floating-point numbers, and do not miss roots due to round-off or related issues.

You did not mention whether the coefficients are rational or floating-point. If any of the coefficients are floating-point real number approximations then you could use fsolve rather than RootFinding[Isolate] directly.

acer</description>
      <guid>76994</guid>
      <pubDate>Tue, 22 May 2007 19:22:26 Z</pubDate>
      <itunes:author>acer</itunes:author>
      <author>acer</author>
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      <title>RootFinding Isolate,Next</title>
      <link>http://www.mapleprimes.com/questions/41349-Positive-Root-Of-Polynomial?ref=Feed:MaplePrimes:positive root of polynomial:Comments#comment85526</link>
      <itunes:summary>Thanks for answers.
fsolve is not the best solution in my case.
My polynomials have rational coefficients and 
their roots are in the interval [0, 1.5].
So I will try Isolate and Next. 
I plan to tell about my experiences in the near future.

Sandor</itunes:summary>
      <description>Thanks for answers.
fsolve is not the best solution in my case.
My polynomials have rational coefficients and 
their roots are in the interval [0, 1.5].
So I will try Isolate and Next. 
I plan to tell about my experiences in the near future.

Sandor</description>
      <guid>85526</guid>
      <pubDate>Tue, 22 May 2007 21:24:28 Z</pubDate>
      <itunes:author>SandorSzabo</itunes:author>
      <author>SandorSzabo</author>
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    <item>
      <title>RootFinding Isolate,Next</title>
      <link>http://www.mapleprimes.com/questions/41349-Positive-Root-Of-Polynomial?ref=Feed:MaplePrimes:positive root of polynomial:Comments#comment91432</link>
      <itunes:summary>The Next is very efficient.
My proc is very fast.
Thanks again.
                 Sandor
</itunes:summary>
      <description>The Next is very efficient.
My proc is very fast.
Thanks again.
                 Sandor
</description>
      <guid>91432</guid>
      <pubDate>Tue, 22 May 2007 23:34:47 Z</pubDate>
      <itunes:author>SandorSzabo</itunes:author>
      <author>SandorSzabo</author>
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