32.9 References and Further Reading
The original version of the Hybrid method is described in the following
articles by Powell,
-
M.J.D. Powell, "A Hybrid Method for Nonlinear Equations" (Chap 6, p
87-114) and "A Fortran Subroutine for Solving systems of Nonlinear
Algebraic Equations" (Chap 7, p 115-161), in Numerical Methods for
Nonlinear Algebraic Equations, P. Rabinowitz, editor. Gordon and
Breach, 1970.
The following papers are also relevant to the algorithms described in
this section,
-
J.J. Moré, M.Y. Cosnard, "Numerical Solution of Nonlinear Equations",
ACM Transactions on Mathematical Software, Vol 5, No 1, (1979), p 64-85
-
C.G. Broyden, "A Class of Methods for Solving Nonlinear
Simultaneous Equations", Mathematics of Computation, Vol 19 (1965),
p 577-593
-
J.J. Moré, B.S. Garbow, K.E. Hillstrom, "Testing Unconstrained
Optimization Software", ACM Transactions on Mathematical Software, Vol
7, No 1 (1981), p 17-41
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