Tài liệu Root Finding and Nonlinear Sets of Equations part 7 doc

... [1] Ostrowski, A.M. 1966, Solutions of Equations and Systems of Equations , 2nd ed. (New York: Academic Press). Ortega, J., and Rheinboldt, W. 1 970 , Iterative Solution of Nonlinear Equations in Several Vari- ables (New ... values x i and F denote the entire vector of functions F i . In the neighborhood of x, each of the functions F i can be expanded 9.6 Newton-Raph...

Ngày tải lên: 15/12/2013, 04:15

... 352 Chapter 9. Root Finding and Nonlinear Sets of Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright ... any event, with 2 −40 ≈ 10 −12 . 354 Chapter 9. Root Finding and Nonlinear Sets of Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyrigh...

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... superlinear convergence with the sureness of bisection? 360 Chapter 9. Root Finding and Nonlinear Sets of Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright ... 1966, Solutions of Equations and Systems of Equations , 2nd ed. (New York: Academic Press), Chapter 12. Ridders, C.J.F. 1 979 , IEEE Transactio...

Ngày tải lên: 15/12/2013, 04:15

... 366 Chapter 9. Root Finding and Nonlinear Sets of Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright ... function evaluation per iteration. 368 Chapter 9. Root Finding and Nonlinear Sets of Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyri...

Ngày tải lên: 15/12/2013, 04:15

... f’s point of view, or from g’s. In order to find all common points, which are 372 Chapter 9. Root Finding and Nonlinear Sets of Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC ... factor inside the square root can be negative, a can be complex. (A more rigorous justification of equation 9.5.11 is in [4] .) 376 Chapter 9. Root Finding and...

Ngày tải lên: 15/12/2013, 04:15

... converge: Local behavior might send it off towards infinity. 356 Chapter 9. Root Finding and Nonlinear Sets of Equations Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright ... number of iterations exceeded in rtsec"); return 0.0; Never get here. } 358 Chapter 9. Root Finding and Nonlinear Sets of Equations...

Ngày tải lên: 15/12/2013, 04:15

... [1] Ostrowski, A.M. 1966, Solutions of Equations and Systems of Equations , 2nd ed. (New York: Academic Press). Ortega, J., and Rheinboldt, W. 1 970 , Iterative Solution of Nonlinear Equations in Several Vari- ables (New ... f: ∇f · δx =(F·J)·(−J −1 ·F)=−F·F<0(9 .7. 5) 388 Chapter 9. Root Finding and Nonlinear Sets of Equations Sample page from NUMERICAL REC...

Ngày tải lên: 15/12/2013, 04:15

... http://www.nr.com or call 1-800- 872 -74 23 (North America only),or send email to trade@cup.cam.ac.uk (outside North America). Chapter 9. Root Finding and Nonlinear Sets of Equations 9.0 Introduction We ... smoothly varying functions, good algorithms 3 47 348 Chapter 9. Root Finding and Nonlinear Sets of Equations Sample page from NUMERICAL RECIPES IN C: THE ART...

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