Determination of the root systems of algebraic equations by affinity transforms
Author:
C. A. Traenkle
Journal:
Quart. Appl. Math. 13 (1955), 1-18
MSC:
Primary 65.0X
DOI:
https://doi.org/10.1090/qam/68316
MathSciNet review:
68316
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Additional Information
H. C. Hart and J. Travis, Mechanical solution of algebraic equations, J. Franklin Institute 225, 63 (1938)
W. R. Evans, Control system synthesis by root locus method, Elec. Eng. 69, 405 (1950)
- F. W. J. Olver, The evaluation of zeros of high-degree polynomials, Philos. Trans. Roy. Soc. London Ser. A 244 (1952), 385–415. MR 49652, DOI https://doi.org/10.1098/rsta.1952.0010
L. Bairstow, Advisory Committee for Aeronautics, Reports and Memoranda No. 154, 51 (1914)
- William Edmund Milne, Numerical Calculus. Approximations, Interpolation, Finite Differences, Numerical Integration, and Curve Fitting, Princeton University Press, Princeton, New Jersey, 1949. MR 0028671
- Shih-Nge Lin, A method of successive approximations of evaluating the real and complex roots of cubic and higher-order equations, J. Math. Phys. Mass. Inst. Tech. 20 (1941), 231–242. MR 5435, DOI https://doi.org/10.1002/sapm1941201231
- F. B. Hildebrand, Note on S. N. Lin’s method of factoring polynomials, J. Math. and Phys. 32 (1953), 164–170. MR 73280, DOI https://doi.org/10.1002/sapm1953321164
R. Zurmühl, Matrizen, Springer Verlag, Berlin, 1950
R. R. M. Mallock, An electrical calculating machine, Proc. Roy. Soc. (London) 140A, 457 (1933)
H. C. Hart and J. Travis, Mechanical solution of algebraic equations, J. Franklin Institute 225, 63 (1938)
W. R. Evans, Control system synthesis by root locus method, Elec. Eng. 69, 405 (1950)
F. W. J. Olver, The evaluation of zeros of high degree polynomials, Phil. Trans. Roy. Soc. 244, 385 (1952)
L. Bairstow, Advisory Committee for Aeronautics, Reports and Memoranda No. 154, 51 (1914)
W. E. Milne, Numerical calculus, Princeton University Press, 1949
S. N. Lin, A method of successive approximations of evaluating the real and complex roots of cubic and higher order equations, J. Math. and Phys. 20, 231 (1941)
F. B. Hildebrand, Note on S. H. Lin’s method of factoring polynomials, J. Math. and Phys. 32, 164 (1953)
R. Zurmühl, Matrizen, Springer Verlag, Berlin, 1950
R. R. M. Mallock, An electrical calculating machine, Proc. Roy. Soc. (London) 140A, 457 (1933)
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Article copyright:
© Copyright 1955
American Mathematical Society
