An efficient degree-computation method for a generalized method of bisection. (English) Zbl 0386.65016
References:
| [1] | Alexandroff, P., Hopf, H.: Topologie, Chelsea, N.Y. 1935 |
| [2] | Allgower, E.L., Jeppson, M.: The approximation of solutions of nonlinear elliptic boundary value problems having several solutions, Springer lecture notes333, 1-20 (1973) · Zbl 0268.65064 |
| [3] | Allgower, E.L., Keller, K.L.: A search routine for a sperner simplex, Computing8, 157-165 (1971) · Zbl 0225.55004 · doi:10.1007/BF02234051 |
| [4] | Cronin, J.: Fixed points and topological degree in nonlinear analysis. Amer. Math. Soc. Surveys II, 1964 · Zbl 0117.34803 |
| [5] | Erdelsky, P.J.: Computing the Brouwer degree inR 2, Math. Comp.22, 133-137, 1973 · Zbl 0385.65026 |
| [6] | Greenberg, M.: Lectures on algebraic topology, W.A. Benjamin, N.Y. 1967 · Zbl 0169.54403 |
| [7] | Hadamard, J.: Sur quelques applications de l’indice de Kronecker, Herman, Paris 1910 · JFM 41.0863.02 |
| [8] | Jeppson, M.: A search for fixed points of a continuous mapping, Mathematical topics in economic theory and computation, 122-128, SIAM, Philadelphia 1972 · Zbl 0278.54045 |
| [9] | Kearfott, R.B.: Computing the degree of maps and a generalized method of bisection, Ph.D. dissertation, University of Utah, S.L.C. 1977 |
| [10] | O’Neil, T., Thomas, J.: The calculation of the topological degree by quadrature, SIAM J. Numer. Anal.12, 673-680 (1975) · Zbl 0327.65044 · doi:10.1137/0712050 |
| [11] | Rheinboldt, W.C., Ortega, S.M.: Iterative solution of nonlinear equations in several variables, N.Y.: Academic Press 1970 · Zbl 0241.65046 |
| [12] | Scarf, H.: The approximation of fixed points of a coninuous mapping, SIAM J. Appl. Math.15, 1328-1343 (1967) · Zbl 0153.49401 · doi:10.1137/0115116 |
| [13] | Stenger, F.: Computing the topological degree of a mapping inR 2, Numer. Math.25, 23-38 (1975) · Zbl 0316.55007 · doi:10.1007/BF01419526 |
| [14] | Stynes, M.: Ph.D. dissertation, Univ. of Oregon, Corvallis 1977 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
