P01_OPT01
Continuation Data for Problem 01, Option 01.

P01_OPT01 is a dataset directory of files containing points X and tangent vectors T along the curve F(X) = 0 for TEST_CON problem 1, option 1.

TEST_CON problem 1, option 1 is the Freudenstein Roth function with starting point (15,-2,0).

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Related Data and Programs:

PITCON66 is a FORTRAN77 library which seeks to produce a sequence of points that satisfy a set of nonlinear equations with one degree of freedom; this is version 6.6 of ACM TOMS algorithm 596.

PITCON7 is a FORTRAN90 library which seeks to produce a sequence of points that satisfy a set of nonlinear equations with one degree of freedom; this is version 7.0 of ACM TOMS algorithm 596.

TEST_CON, a FORTRAN90 library which implements test problems for numerical continuation.

TEST_CON, a MATLAB library which implements test problems for numerical continuation.

TOMS502 is a FORTRAN77 library which seeks to produce a sequence of points that satisfy a set of nonlinear equations with one degree of freedom; this library is commonly called DERPAR;
this is ACM TOMS algorithm 502.

TOMS596 is a FORTRAN77 library which seeks to produce a sequence of points that satisfy a set of nonlinear equations with one degree of freedom; this library is commonly called PITCON;
this is ACM TOMS algorithm 596.

Reference:

1. Ferdinand Freudenstein, Bernhard Roth,
   Numerical Solutions of Nonlinear Equations,
   Journal of the ACM,
   Volume 10, Number 4, October 1963, pages 550-556.

Programs:

• p01_opt01.f90, a program to compute points and tangents along the curve.
• p01_opt01_output.txt, the output file.

Data Files:

Here are some plots:

• p01_opt01_x1_vs_x2_vs_x3.png, a 3D plot of X1 vs X2 vs X3.
• p01_opt01_x2_vs_x1.png, a 2D plot of X2 vs X1.
• p01_opt01_x2_vs_x3.png a 2D plot of X2 vs X3.

P01_OPT01_X***.TXT contains successive values of X.

• p01_opt01_x000.txt
• p01_opt01_x001.txt
• p01_opt01_x002.txt
• p01_opt01_x003.txt
• p01_opt01_x004.txt
• p01_opt01_x005.txt
• p01_opt01_x006.txt
• p01_opt01_x007.txt
• p01_opt01_x008.txt
• p01_opt01_x009.txt
• p01_opt01_x010.txt
• p01_opt01_x011.txt
• p01_opt01_x012.txt
• p01_opt01_x013.txt
• p01_opt01_x014.txt
• p01_opt01_x015.txt
• p01_opt01_x016.txt
• p01_opt01_x017.txt
• p01_opt01_x018.txt
• p01_opt01_x019.txt
• p01_opt01_x020.txt
• p01_opt01_x021.txt
• p01_opt01_x022.txt
• p01_opt01_x023.txt
• p01_opt01_x024.txt
• p01_opt01_x025.txt
• p01_opt01_x026.txt
• p01_opt01_x027.txt
• p01_opt01_x028.txt
• p01_opt01_x029.txt
• p01_opt01_x030.txt
• p01_opt01_x031.txt
• p01_opt01_x032.txt
• p01_opt01_x033.txt
• p01_opt01_x034.txt
• p01_opt01_x035.txt
• p01_opt01_x036.txt
• p01_opt01_x037.txt
• p01_opt01_x038.txt
• p01_opt01_x039.txt
• p01_opt01_x040.txt
• p01_opt01_x041.txt
• p01_opt01_x042.txt
• p01_opt01_x043.txt
• p01_opt01_x044.txt
• p01_opt01_x045.txt
• p01_opt01_x046.txt
• p01_opt01_x047.txt
• p01_opt01_x048.txt

P01_OPT01_T***.TXT contains successive values of TAN(X), the tangent vector.

• p01_opt01_t000.txt
• p01_opt01_t001.txt
• p01_opt01_t002.txt
• p01_opt01_t003.txt
• p01_opt01_t004.txt
• p01_opt01_t005.txt
• p01_opt01_t006.txt
• p01_opt01_t007.txt
• p01_opt01_t008.txt
• p01_opt01_t009.txt
• p01_opt01_t010.txt
• p01_opt01_t011.txt
• p01_opt01_t012.txt
• p01_opt01_t013.txt
• p01_opt01_t014.txt
• p01_opt01_t015.txt
• p01_opt01_t016.txt
• p01_opt01_t017.txt
• p01_opt01_t018.txt
• p01_opt01_t019.txt
• p01_opt01_t020.txt
• p01_opt01_t021.txt
• p01_opt01_t022.txt
• p01_opt01_t023.txt
• p01_opt01_t024.txt
• p01_opt01_t025.txt
• p01_opt01_t026.txt
• p01_opt01_t027.txt
• p01_opt01_t028.txt
• p01_opt01_t029.txt
• p01_opt01_t030.txt
• p01_opt01_t031.txt
• p01_opt01_t032.txt
• p01_opt01_t033.txt
• p01_opt01_t034.txt
• p01_opt01_t035.txt
• p01_opt01_t036.txt
• p01_opt01_t037.txt
• p01_opt01_t038.txt
• p01_opt01_t039.txt
• p01_opt01_t040.txt
• p01_opt01_t041.txt
• p01_opt01_t042.txt
• p01_opt01_t043.txt
• p01_opt01_t044.txt
• p01_opt01_t045.txt
• p01_opt01_t046.txt
• p01_opt01_t047.txt
• p01_opt01_t048.txt

You can go up one level to the TEST_CON dataset page.