Polynomial root solving on the electronic differential analyser (a technique for finding the real and complex roots of a polynomial using an electronic differential analyser)

Author:
Cyril Atkinson

Journal:
Math. Comp. **9** (1955), 139-143

MSC:
Primary 68.0X

DOI:
https://doi.org/10.1090/S0025-5718-1955-0074144-1

MathSciNet review:
0074144

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References | Similar Articles | Additional Information

**[2]**A. J. Kempner,*On the complex roots of algebraic equations*, Bull. Amer. Math. Soc.**41**(1935), no. 12, 809–843. MR**1563200**, https://doi.org/10.1090/S0002-9904-1935-06201-9**[3]**J. V. Uspensky,*Theory of Equations*, McGraw-Hill, N. Y., 1948.**[6]**A. R. Boothroyd and E. Colin Cherry,*Analogue calculating machine for functions of a complex variable*, Nature**163**(1949), 687. MR**32212**, https://doi.org/10.1038/163687a0**[7]**R. L. Dietzold, ``The Isograph--a mechanical root finder,''*Bell Laboratories Record*, v. 16, 1937-38, p. 130.**[8]**G. Ferrara & R. L. Nadeau, ``A complex wave synthesizer,''*Elec. Eng.*, v. 70, 1951, p. 585.**[9]**J. S. Frame,*Machines for solving algebraic equations*, Mathematical Tables and Other Aids to Computation**1**(1945), 337–353. MR**0011196**, https://doi.org/10.1090/S0025-5718-1945-0011196-2**[10]**H. C. Hart & I. Travis, ``Mechanical solution of algebraic equations,''*J. Franklin Inst.*, v. 215, 1938, p. 63-72.**[11]**A. J. Kempner,*Geometry as an Avocation*, Amer. Math. Monthly**40**(1933), no. 8, 455–471. MR**1522895**, https://doi.org/10.2307/2302070**[12]**Byron O. Marshall Jr.,*The electronic isograph for roots of polynomials*, J. Appl. Phys.**21**(1950), 307–312. MR**35530****[13]**J. H. Robertson,*A simple machine capable of Fourier synthesis calculation*, J. Sci. Instruments**27**(1950), 276–278. MR**0045485****[14]**A. Russell & J. N. Alty, ``An electromagnetic method of studying the theory of and solving algebraic equations of any degree,''*Phil. Mag.*, s. 6, v. 18, 1909, p. 802-812.**[15]**T. B. Rymer and C. C. Butler,*An electrical circuit for harmonic analysis and other calculations*, Philos. Mag. (7)**35**(1944), 606–616. MR**11193****[16]**Walter W. Soroka,*Analog methods in computation and simulation*, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1954. MR**0066052****[17]**L. Bauer & S. Fifer, ``The solution of polynomial equations on the REAC,''*Project Cyclone Symposium One*, Reeves Instrument Corp., New York, 1951, p. 31-36.**[18]**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**, https://doi.org/10.1098/rsta.1952.0010**[19]**R. A. Brooker,*The solution of algebraic equations on the EDSAC*, Proc. Cambridge Philos. Soc.**48**(1952), 255–270. MR**46138**, https://doi.org/10.1017/s0305004100027614

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DOI:
https://doi.org/10.1090/S0025-5718-1955-0074144-1

Article copyright:
© Copyright 1955
American Mathematical Society