Skip to main content
S
Spectre1-Visitor
1-Visitor
April 17, 2012
Solved

Repeated root calculation

  • April 17, 2012
  • 1 reply
  • 2232 views

Good Morning,

I have used a very simple program in Mathcad 14 to provide the roots of the intersection of tan(L*0.0127) and L*11.1/66680. An image of the program and reaults is posted. It correctly calculates the first 44 roots and then provides incorrect values for the next few (which causes issues in the series summation...) The guesses I have put in for L are the locations of tan(n/L) = 0.0.

I modified the guess ranges several times with no luck, the errors for the higher roots remain...

Any Ideas?

repeated_roots.JPG

Thank you very much,

H

Best answer by AlanStevens

The initial guesses become too far out by the time you get to the 45th root. See attached for better approach.

Alan

Edited to attach a slightly improved file.

1 reply

A
AlanStevens19-TanzaniteAnswer
19-Tanzanite
April 17, 2012

The initial guesses become too far out by the time you get to the 45th root. See attached for better approach.

Alan

Edited to attach a slightly improved file.

S
Spectre1-VisitorAuthor
1-Visitor
April 17, 2012

Genius!!!

Pure Genius!!!

Thank you very much,

I did not think of solving it that way...

    A
    AlanStevens19-Tanzanite
    19-Tanzanite
    April 17, 2012

    Spectre wrote:

    Genius!!!

    Pure Genius!!!

    Thank you very much,

    I did not think of solving it that way...

    For "Genius" read "Experience".

    Alan

    Terms & ConditionsAccessibility statement