WOLFRAM

Wolfram Language & System Documentation Center

MaxRoots

is an option for NSolve and related functions that specifies the maximum number of roots that should be returned in the solution for a system of algebraic or transcendental equations.

Details
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Possible Issues  
See Also
History
Cite this Page

MaxRoots

MaxRoots

is an option for NSolve and related functions that specifies the maximum number of roots that should be returned in the solution for a system of algebraic or transcendental equations.

Details

  • Possible settings include:
  • Automaticautomatically decide how many roots to return
    Infinityreturn all roots
    nreturn at most n roots

Examples

open all close all

Basic Examples  (3)

Find three roots of a polynomial equation:

With the default Automatic setting, all 100 roots are returned:

Find three roots of a transcendental equation:

With the default Automatic setting, 16 roots are returned:

Find five exact roots of a transcendental equation:

Scope  (6)

Find two roots of a system of polynomial equations:

With the default Automatic setting, all 21 roots are returned:

Find five roots of a system of transcendental equations:

With the default Automatic setting, 16 roots are returned:

Find 100 roots:

Find five roots of a polynomial of a high degree:

Find three roots of an unrestricted complex transcendental equation:

Find three out of a trillion roots of a polynomial system:

Find five solutions of a transcendental system:

Possible Issues  (1)

The setting of MaxRoots is ignored when solutions depend on symbolic parameters:

Wolfram Research (2024), MaxRoots, Wolfram Language function, https://reference.wolfram.com/language/ref/MaxRoots.html.

Text

Wolfram Research (2024), MaxRoots, Wolfram Language function, https://reference.wolfram.com/language/ref/MaxRoots.html.

CMS

Wolfram Language. 2024. "MaxRoots." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/MaxRoots.html.

APA

Wolfram Language. (2024). MaxRoots. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/MaxRoots.html

BibTeX

@misc{reference.wolfram_2025_maxroots, author="Wolfram Research", title="{MaxRoots}", year="2024", howpublished="\url{https://reference.wolfram.com/language/ref/MaxRoots.html}", note=[Accessed: 04-August-2025]}

BibLaTeX

@online{reference.wolfram_2025_maxroots, organization={Wolfram Research}, title={MaxRoots}, year={2024}, url={https://reference.wolfram.com/language/ref/MaxRoots.html}, note=[Accessed: 04-August-2025]}