## APM.RTOL - APMonitor Option

## Main.OptionApmRtol History

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RTOL is the ~~relative inequality or equality equation tolerance for reporting a successful solution. A lower value of RTOL, such as 1e-8, will give a more precise answer but at the expense of~~ more ~~iterations. The default of 1e-6 is generally sufficient for most problems. However, there are times when the equation solution should be reported more precisely. Making RTOL too small may cause a bad solution to be reported because it surpasses the computer precision. RTOL and OTOL (relative~~ tolerance for the objective function) should generally be adjusted together.

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RTOL is the error tolerance for reporting a successful solution where the residuals (''r'') of the equations (''f(x)=r'') are converged to nearly zero. A lower value of RTOL, such as 1e-8, will give a more precise answer but at the expense of more iterations. The default of 1e-6 is generally sufficient for most problems. However, there are times when the equation solution should be reported more precisely. Making RTOL too small may cause a bad solution to be reported because it surpasses the computer precision. RTOL and OTOL (tolerance for the objective function) should generally be adjusted together.

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%width=50px%Attach:apm.png [[Main/DbsGlobal|Global Options]] | %width=30px%Attach:fv.png %width=30px%Attach:mv.png %width=30px%Attach:sv.png %width=30px%Attach:cv.png[[Main/DbsVariable|Local Options]]

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See also [[Main/OptionApmOtol|OTOL]], [[Main/OptionApmSolver|SOLVER]]

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(:title APM.RTOL - APMonitor Option:)

(:keywords APM.RTOL, Optimization, Estimation, Option, Configure, Default, Description:)

(:description Equation solution tolerance:)

%width=50px%Attach:apm.png

Type: Floating Point, Input

Default Value: 1.0e-6

Description: Equation solution tolerance

RTOL is the relative inequality or equality equation tolerance for reporting a successful solution. A lower value of RTOL, such as 1e-8, will give a more precise answer but at the expense of more iterations. The default of 1e-6 is generally sufficient for most problems. However, there are times when the equation solution should be reported more precisely. Making RTOL too small may cause a bad solution to be reported because it surpasses the computer precision. RTOL and OTOL (relative tolerance for the objective function) should generally be adjusted together.

(:keywords APM.RTOL, Optimization, Estimation, Option, Configure, Default, Description:)

(:description Equation solution tolerance:)

%width=50px%Attach:apm.png

Type: Floating Point, Input

Default Value: 1.0e-6

Description: Equation solution tolerance

RTOL is the relative inequality or equality equation tolerance for reporting a successful solution. A lower value of RTOL, such as 1e-8, will give a more precise answer but at the expense of more iterations. The default of 1e-6 is generally sufficient for most problems. However, there are times when the equation solution should be reported more precisely. Making RTOL too small may cause a bad solution to be reported because it surpasses the computer precision. RTOL and OTOL (relative tolerance for the objective function) should generally be adjusted together.