ISSAC 94 - Symbolic-Numeric Nonlinear Equation Solving Up
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[1] Alefeld, G., and Herzberger, J. (1983) Introduction to Interval Computations, Academic Press.

[2] Brent, R. P. (1971), "An Algorithm with Guaranteed Convergence for Finding a Zero of a Function", The Computer Journal, 14, 422-425.

[3] Bundy, A., and Welham, B. (1981) "Using Meta-Level Inference for Selective Application of Multiple Rewrite Rules in Algebraic Manipulation", Artificial Intelligence 16(2).

[4] Collins, G. E. and Loos, R. (1983) "Real Zeros of Polynomials", Computer Algebra Symbolic and Algebraic Computation, Second Edition, (ed. B. Buchberger, G. E. Collins, and R. Loos) Springer-Verlag, 83-94.

[5] Conway, John B. (1978), Functions of One Complex Variable, Second Edition, Springer-Verlag.

[6] Hardy, G. H. (1910), Orders of infinity.  Cambridge Tracts in Mathematics 12.

[7] Hoenders, B. J. and Slump, C. H. (1992) "On the Determination of the Number and Multiplicity of Zeros of a Function", Computing, 47(3-4), 323-336.

[8] Ioakimidis, N. I. and Anastasselou, E. G. (1986) "On the Simultaneous Determination of Zeros of Analytic or Sectionally Analytic Functions", Computing 36(3) 239-247.

[9] Kearfott, R. Baker (1991) "Decomposition of Arithmetic Expressions to Improve the Behaviour of Interval Arithmetic for Nonlinear Systems", Computing 47(2), 169-191.

[10] Nerinckx, D., and Haegemans, A. (1976), "A Comparison of Non-Linear Equation Solvers", Journal of Computational and Applied Mathematics 2, 145-148.

[11] Ratschek, H., and Rokne, J. (1984) Computer Methods for the Range of Functions, Ellis Horwood Limited.

[12] Richardson, Daniel (1968) "Some Undecidable Problems Involving Elementary Functions of a Real Variable", The Journal of Symbolic Logic 33(4), 514-520.

[13] Rice, John R. (1993) Numerical Methods, Software, and Analysis, Academic Press, 323-410.

[14] Rudin, Walter (1976), Principles of Mathematical Analysis, McGraw-Hill.

[15] Saaty, Thomas L. (1981), Modern Nonlinear Equations, Dover. Next

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