A FORTRAN program for the simultaneous solution of two algebraic polynomial equations in two unknowns Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/bc386n527

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  • The author investigates a FORTRAN program designed to find all solutions of two nonlinear polynomial equations in two unknowns. For the method of Sylvester to be a method adaptable to a general purpose solver in this area, it will be necessary to have multiple precision capability combined with a much larger storage capacity than is presently available. The defects of the method are illustrated by working out a single precision program with provision for storage allocation of arrays of size ten. Applying this package to several examples, we see that the program actually works provided the bounds on storage and precision are not exceeded. However, this does occur in relatively simple examples. A method of recursive evaluation of Sylvester's Determinant is compared with the general recursive method for evaluating determinants and shown to be much better both in number of operations and in storage requirements than the latter method.
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  • File scanned at 300 ppi (Monochrome) using ScandAll PRO 1.8.1 on a Fi-6670 in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
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  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2014-02-13T16:06:14Z (GMT) No. of bitstreams: 1 DiffelyRobert1972.pdf: 471535 bytes, checksum: 53d7441709e056dcb515de0fdb9e92bc (MD5)
  • description.provenance : Submitted by Georgeann Booth (gbscannerosu@gmail.com) on 2014-02-12T01:40:51Z No. of bitstreams: 1 DiffelyRobert1972.pdf: 471535 bytes, checksum: 53d7441709e056dcb515de0fdb9e92bc (MD5)
  • description.provenance : Made available in DSpace on 2014-02-20T18:01:23Z (GMT). No. of bitstreams: 1 DiffelyRobert1972.pdf: 471535 bytes, checksum: 53d7441709e056dcb515de0fdb9e92bc (MD5) Previous issue date: 1971-07-20
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2014-02-20T18:01:23Z (GMT) No. of bitstreams: 1 DiffelyRobert1972.pdf: 471535 bytes, checksum: 53d7441709e056dcb515de0fdb9e92bc (MD5)

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