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Assessment 2 knuth book

Acknowledgments the author is indebted to a number of

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ACKNOWLEDGMENTS. The author is indebted to a number of colleagues including especially G. E. Collins and S. C. Johnson for comments on earlier drafts of this paper, and for helpful discussions. REFERENCES 1. KNUTH, D. E. The Art of Computer Programmi~tg: Vol. 2: Seminumerical Algorithms. Addison-Wesley, Reading, Mass., 1969. 2. SAMMET J. E., ET AL. Symbol manipulation. Comm. ACM 9 (Aug. 65), 547-643. 3. HOUSEHOLDER, A. S. Bigradients and the problem of Routh and Hurwitz, SIAM Rev. 10 (Jan. 1968), 56-66. 4. HOUSEHOLDER, A. S., AND STEWART, G. W., III. Bigradients, Hankel determinants, and Journal of the Association for Computing Machinery, Vol. 18, No. 4, October 1971
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504 w.s. BROWN the Pads table. In Constructive Aspects of the Fundamental Theorem of Algebra, B. De- ]on and P. Henrici, Eds. Wiley-Interscience, New York, 1969, pp. 131-150. 5. USPENSKY, J.V. Theory of Equations, McGraw-Hill, New York, 1948. 6. BIRKHOFF G., AND MACLANE, S. A Survey of Modern Algebra, 3rd ed. Macmillan, New York, 1965. 7. COLLINS, G. E. Subresultants and reduced polynomial remainder sequences. J. ACM 14 (Jan. 1967), 128-142. 8. BROWN W. S., AND TRAUB, J.F. On Euclid's algorithm and the theory of subresultants. 3". ACM 18 (Oct. 1971), 505-514. 9. GOLDSTEIN A. J., AND GRAHAM,R.L. A Hadamard type bound on the coefficients of a de- terminant of analytic functions (to be published). 10. COLLINS, G. E. The calculation of multivariate polynomial resultants. In Proc. 2nd Symposium on Symbolic and Algebraic Manipulation. ACM, New York, 1971, pp. 212-222; J. ACM 18 (Oct. 1971), 515--532. 11. ERD~LYI, A. Asymptotic Expansions. Dover, New York, 1956. 12. Proc. 2nd Symposium on Symbolic and Algebraic Manipulation. ACM, New York, 1971, Chs. 3 and 7. Journal of the Association for Computing Machinery, Vol. 18, No. 4, October 1971
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