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  Browse All Reviews > Mathematics Of Computing (G) > Numerical Analysis (G.1) > Roots Of Nonlinear Equations (G.1.5) > Continuation (Homotopy) Methods (G.1.5...)  
 
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  1-3 of 3 Reviews about "Continuation (Homotopy) Methods (G.1.5...)": Date Reviewed
  Algorithm 857: POLSYS_GLP--a parallel general linear product homotopy code for solving polynomial systems of equations
Su H., McCarthy J., Sosonkina M., Watson L. ACM Transactions on Mathematical Software 32(4): 561-579, 2006.  Type: Article

Polynomial systems of equations arise in many applications, such as robotics, computer vision, kinematics, chemical kinetics, and geometric modeling. If all of the isolated solutions of such systems must be found globally convergent, p...

May 11 2007
  Path following in scientific computing and its implementation in auto
Keller H., Doedel E. In Sourcebook of parallel computing. San Francisco, CA: Morgan Kaufmann Publishers Inc., 2003.  Type: Book Chapter

The solution of nonlinear problems, based on homotopy procedures, is studied in this paper. In section 1, Keller and Doedel begin the presentation of their results by defining and discussing the concepts of local continuation and diffe...

Nov 4 2003
  Computing multiple pitchfork bifurcation points
Pönisch G., Schnabel U., Schwetlick H. Computing 59(3): 209-222, 1997.  Type: Article

In many engineering and science research projects, it is necessary to solve sets of nonlinear, parameter-dependent equations. The iterative solution of such sets using, for example, the Newton-Raphson method can lead to chaotic behavio...

Jun 1 1998
 
 
 
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