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Volumn 58, Issue 3, 2008, Pages 236-248

Modified homotopy methods to solve fixed points of self-mapping in a broader class of nonconvex sets

Author keywords

Combined homotopy interior point method; Nonconvex sets; Unbounded convex sets

Indexed keywords

COMPUTATIONAL EFFICIENCY; CONFORMAL MAPPING; NUMERICAL METHODS; PROBLEM SOLVING;

COMBINED HOMOTOPY INTERIOR POINT METHOD; NONCONVEX SETS; UNBOUNDED CONVEX SETS;

SET THEORY;

EID: 38549174773 PISSN: 01689274 EISSN: None Source Type: Journal
DOI: 10.1016/j.apnum.2006.11.008 Document Type: Article

Times cited : (11)

References (12)

1
- 0003536870
- Springer, Berlin
- Allgower E.L., and Georg K. Numerical Continuation Methods: An Introduction (1990), Springer, Berlin
- (1990) Numerical Continuation Methods: An Introduction
- Allgower, E.L.¹ Georg, K.²

2
- 84966216764
- Finding zeros of maps: homotopy methods that are constructive with probability one
- Chow S.N., Mallet-Paret J., and Yorke J.A. Finding zeros of maps: homotopy methods that are constructive with probability one. Math. Comp. 32 (1978) 887-899
- (1978) Math. Comp. , vol.32 , pp. 887-899
- Chow, S.N.¹ Mallet-Paret, J.² Yorke, J.A.³

3
- 0001284132
- An approach to homotopy and degree theory
- Garcia C.B., and Zangwill W.I. An approach to homotopy and degree theory. Math. Oper. Res. 4 (1979) 390-405
- (1979) Math. Oper. Res. , vol.4 , pp. 390-405
- Garcia, C.B.¹ Zangwill, W.I.²

4
- 51249181779
- A new polynomial-time algorithm for linear programming
- Karmarkar N. A new polynomial-time algorithm for linear programming. Combinatorica 4 (1984) 373-395
- (1984) Combinatorica , vol.4 , pp. 373-395
- Karmarkar, N.¹

5
- 0016993685
- A constructive proof of the Brouwer fixed-point theorem and computational results
- Kellogg R.B., Li T.Y., and Yorke J.A. A constructive proof of the Brouwer fixed-point theorem and computational results. SIAM J. Numer. Anal. 13 (1976) 473-483
- (1976) SIAM J. Numer. Anal. , vol.13 , pp. 473-483
- Kellogg, R.B.¹ Li, T.Y.² Yorke, J.A.³

6
- 0011885334
- A constructive proof of the Poincaré-Birkhoff theorem
- Li Y., and Lin Z.H. A constructive proof of the Poincaré-Birkhoff theorem. Trans. Amer. Math. Soc. 347 (1995) 2111-2126
- (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 2111-2126
- Li, Y.¹ Lin, Z.H.²

7
- 33748072813
- A predictor-corrector algorithm for tracing combined interior homotopy pathway
- Lin Z.H., Sheng Z.P., Yang L., and Bai Y.Z. A predictor-corrector algorithm for tracing combined interior homotopy pathway. Math. Numer. Sinica 24 (2002) 405-416
- (2002) Math. Numer. Sinica , vol.24 , pp. 405-416
- Lin, Z.H.¹ Sheng, Z.P.² Yang, L.³ Bai, Y.Z.⁴

8
- 0003582659
- Cambridge University Press, London
- Naber G.L. Topological Methods in Euclidean Space (1980), Cambridge University Press, London
- (1980) Topological Methods in Euclidean Space
- Naber, G.L.¹

9
- 0000748675
- 2 maps
- 2 maps. Appl. Math. Comput. 5 (1979) 297-311
- (1979) Appl. Math. Comput. , vol.5 , pp. 297-311
- Watson, L.T.¹

10
- 0000342280
- An algorithm that is globally convergent with probably convergent with probability one for a class of nonlinear two-point boundary value problems
- Watson L.T. An algorithm that is globally convergent with probably convergent with probability one for a class of nonlinear two-point boundary value problems. SIAM J. Numer. Anal. 16 (1979) 394-401
- (1979) SIAM J. Numer. Anal. , vol.16 , pp. 394-401
- Watson, L.T.¹

11
- 0020848337
- Tracking nonlinear equilibrium paths by a homotopy method
- Watson L.T., Holzer S.M., and Hansen M.C. Tracking nonlinear equilibrium paths by a homotopy method. Nonlinear Anal. 7 (1983) 1271-1282
- (1983) Nonlinear Anal. , vol.7 , pp. 1271-1282
- Watson, L.T.¹ Holzer, S.M.² Hansen, M.C.³

12
- 0002020184
- Homotopy method for a class of nonconvex Brouwer fixed point problems
- Yu B., and Lin Z.H. Homotopy method for a class of nonconvex Brouwer fixed point problems. Appl. Math. Comput. 74 (1996) 65-77
- (1996) Appl. Math. Comput. , vol.74 , pp. 65-77
- Yu, B.¹ Lin, Z.H.²

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