%
% BibTeX database for Symbolic Recipes
%
% RMC January 1997
%
@inproceedings{AbramovKvashenko:1993,
author = {S. A. Abramov and K. Yu. Kvashenko},
title = {On the greatest common divisor of polynomials which depend
on a parameter},
booktitle = {Proceedings ISSAC},
city = {Kiev, Ukraine},
pages = {152--156},
year = {1993},
}
@inproceedings{AllisonCorless:1995,
author = {Anne-Marie E. Allison and Robert M. Corless},
title = "Prediction of Closed-Loop Hysteresis with a Flow-Induced
Vibration Model",
booktitle = "Proceedings of CANCAM",
volume = "2",
address = "Victoria",
year = "1995",
pages = "512--513",
}
@inproceedings{AllisonCorless:1996,
author = {Anne-Marie E. Allison and Robert M. Corless},
title = "A Bifurcation Study of a Flow-Induced Vibration Model",
booktitle = "Proceedings of the ASME PVP-FIV Symposium",
address = "Montr\'eal",
year = "1996",
month = "July",
pages = "",
}
@book{LAPACK:1995,
author = {E. Anderson and Z. Bai and C. Bischof and J. Demmel and
J. Dongarra and J. Du~Croz and A. Greenbaum and S. Hammarling and A.
McKenney and S. Ostrouchov and D. Sorenson},
title = {Lapack User's Guide},
year = {1995},
publisher = {SIAM},
}
@book{Anderson:1989,
author = {John D. Anderson},
title = {Introduction to Flight},
edition = {3rd},
publisher = {McGraw-Hill},
city = {New York},
year = {1989},
}
@book{IEEE:754,
author = {American National Standards Institute/Institute of
Electrical and Electronic Engineers},
title = {IEEE Standard for
Binary Floating-Point Arithmetic},
publisher = {ANSI/IEEE Std 754-1985},
city = {New York},
year = {1985},
}
@inproceedings{AuzingerStetter:1988,
author = {W. Auzinger and H. J. Stetter},
title = {An Elimination Algorithm for the Computation of All Zeros of
a System of Multivariate Polynomial Equations},
booktitle = {Numerical Mathematics},
place = {Singapore},
year = {1988},
editor ={Ravi P. Agarwal and Y. M. Chow and S. J. Wilson},
series = {ISNM},
volume = {86},
publisher = {Birkh\"auser},
pages = {11--30}
}
@article{BakerRippon:1985,
author = {I. N. Baker and P. J. Rippon},
title = {A Note on Complex Iteration},
journal = {American Mathematical Monthly},
volume = {92},
year = {1985},
pages = {501--504},
}
@book{Barbeau:1989,
author = {E. J. Barbeau},
title = {Polynomials},
publisher = {Springer-Verlag},
series = {Problem Books in Mathematics},
year = {1989},
}
@article{Barry:1993,
author = {A. Barry},
title = {A class of exact solutions for
Richard's equation},
journal = {J. Hydrology},
volume = {142},
year = {1993},
pages = {29--46},
}
@book{BenderOrszag:1978,
author = {C. M. Bender and S. A. Orszag},
title = {Advanced Mathematical Methods for Scientists and
Engineers},
publisher = {McGraw-Hill},
year = {1978},
}
@book{BiniPan:1994,
author = {Dario Bini and Victor Pan},
title = {Polynomial and Matrix Computations},
publisher = {Birkh\"auser},
year = {1994},
}
@book{Bjork:1996,
author = {Ake Bj\"ork},
title = "Numerical Methods for Least Squares Problems",
publisher = "SIAM",
year = "1996",
}
@book{BorweinBorwein:1987,
author = {Jonathan M. Borwein and Peter B. Borwein},
title = {$\pi$ and the AGM: A Study in Analytic Number Theory and
Computational Complexity},
publisher = {Wiley},
city = {New York},
year = {1987},
}
@article{BorweinCorless:1997,
author = {Jonathan M. Borwein and Robert M. Corless},
title = {``{E}merging Tools for Experimental Mathematics''},
journal = {{\sl in preparation}},
year = {1997},
}
@book{BorweinErdelyi:1995,
author = {Peter B. Borwein and Tam\'as Erd\'elyi},
title = "Polynomials and Polynomial Inequalities",
publisher = "Springer-Verlag",
address = "New York",
year = "1995",
}
@inproceedings{Bronstein:1988,
author = {Manuel Bronstein},
title = {Symbolic Integration: Towards Practical Algorithms},
booktitle = {Computer Algebra and Differential Equations},
editor = {E. Tournier},
publisher = {Academic Press},
pages = {59--86},
year = {1989},
}
@inproceedings{BronsteinSalvy:1993,
author = {Manuel Bronstein and Bruno Salvy},
title = {Full Partial Fraction Decomposition of Rational
Functions},
booktitle = {Proceedings ISSAC},
city = {Kiev, Ukraine},
pages = {157--160},
year = {1993},
}
@article{BGBM:1993,
author = {Angelika Bunse-Gerstner and Ralph Byers and Volker
Mehrmann},
title = {Numerical Methods for Simultaneous Diagonalization},
journal = {SIAM Journal of Matrix Analysis and Applications},
volume = {14},
number = {4},
pages = {927--949},
year = {1993},
}
@book{Caratheodory,
author = {C. Carath\'eodory},
title = {Theory of Functions of a Complex Variable},
publisher= {Chelsea},
year = {1954},
}
@article{Cayley:1889,
author = {A. Cayley},
title = {A theorem on trees},
journal = {Quarterly Journal of Mathematics},
series = {Oxford},
volume = {23},
year = {1889},
pages = {376--378},
}
@book{ChapraCanale:1988,
author = {Steven C. Chapra and Raymond P. Canale},
title = {Numerical Methods for Engineers},
edition = {2nd},
publisher = {McGraw-Hill},
year = {1988},
}
@book{FirstLeaves:1991,
author = {Bruce W. Char and Keith O. Geddes and Gaston H. Gonnet and
Benton L. Leong and Michael B. Monagan and Stephen M. Watt},
title = {First Leaves, A Tutorial Introduction to Maple},
publisher = {Springer-Verlag},
year = {1991},
}
%
@book{MRM:1991,
author = {Bruce W. Char and Keith O. Geddes and Gaston H. Gonnet and
Benton L. Leong and Michael B. Monagan and Stephen M. Watt},
title = {The Maple~V Language Reference Manual},
publisher = {Springer-Verlag},
year = {1991},
}
@book{Comtet:1974,
author = {L. Comtet},
year = {1974},
title = {Advanced Combinatorics},
publisher = {Reidel},
}
@book{ContedeBoor:1980,
author = {Samuel D. Conte and Carl de Boor},
title = {Elementary Numerical Analysis},
edition = {3rd},
publisher = {McGraw-Hill},
year = {1980},
}
@inproceedings{CoppolaRand:1989,
author = {Vincent T. Coppola and Richard H. Rand},
title = {Symbolic Computation and Perturbation Methods using Elliptic
Functions},
booktitle = {Transactions of the Sixth Army Conference on Applied
Mathematics and Computing},
year = {1989},
pages = {639--676},
}
@article{Confrac:1992,
author = {Robert M. Corless},
title = {Continued Fractions and Chaos},
journal = {American Mathematical Monthly},
volume = {99},
number = {3},
year = {1992},
pages = {203--215},
}
@article{Defect:1992,
author = {Robert M. Corless},
title = {Defect-controlled numerical methods and shadowing for chaotic
differential equations},
journal = {Physica D},
volume = {60},
year = {1992},
pages = {323--334},
}
@book{EM:95,
author = {Robert M. Corless},
title = "Essential Maple",
publisher = "Springer-Verlag",
address = "New York",
year = "1995",
}
@article{Lies:1993,
author = {Robert M. Corless},
title = {Six, Lies, and Calculators},
journal = {American Mathematical Monthly},
volume = {100},
number = {4},
month = {April},
year = {1993},
pages = {344--350},
}
@inproceedings{Bifurcation:1995,
author = {Robert M. Corless},
title = {Bifurcation in a Flow-Induced Vibration Model},
booktitle = {Normal Forms and Homoclinic Chaos},
series = {Fields Institute Communications},
volume = {4},
year = {1995},
editor = {W. F. Langford and W. Nagata},
pages = {43--60},
publisher = {American Mathematical Society},
}
@article{WhatGood:1994,
author = {Robert M. Corless},
title = {What good are numerical simulations of chaotic dynamical
systems?},
journal = {Computers in Mathematics with Applications},
year = {1994},
volume = {28},
number = {10--12},
pages = {107--121},
}
@inproceedings{ErrorBackward:1994,
author = {Robert M. Corless},
title = {Error Backward},
booktitle = {Contemporary Mathematics},
volume = {172},
publisher = {American Mathematical Society},
editor = {Peter Kloeden and Ken Palmer},
pages = {31--62},
year = {1994},
}
@article{LambertW:1996,
key ={R.M. Corless {\sl et al.}},
author={Corless, Robert M. and Gonnet, Gaston H. and Hare,
David E. G. and Jeffrey, David J. and Knuth, Donald E.},
title ={``{O}n the {Lambert} {$W$} function''},
year ={1996},
journal={Advances in Computational Mathematics},
volume ={5},
pages ={329--359},
}
@article{unwind:1996,
author = {Robert M. Corless and David J. Jeffrey},
title = {``{T}he Unwinding Number''},
journal = {{\sc Sigsam} Bulletin},
year = {1996},
volume = {30},
number = {2},
issue = {116},
pages = {28--35},
month = {June},
}
@article{DynamicsW:1997,
author = {Robert M. Corless and David J. Jeffrey and Keith Briggs},
title = {``{T}he dynamics of the {L}ambert {$W$} function''},
journal = {{\sl in preparation}},
year = {1998},
}
@article{TuringFact:1997,
author = {Robert M. Corless and David J. Jeffrey},
title = {The {T}uring Factorization of a Rectangular Matrix},
journal = {\textsc{Sigsam} Bulletin (Communications in Computer Algebra)},
volume = {31},
number = {3},
issue = {121},
month = {September},
year = {1997},
pages = {20--28},
}
@inproceedings{CGTW:1995,
author = {Robert M. Corless and Patrizia M. Gianni and Barry M. Trager
and Stephen M. Watt},
year = 1995,
title = {The {S}ingular {V}alue {D}ecomposition for Polynomial
Systems},
booktitle = {Proceedings ISSAC},
city = {Montr\'eal, Canada},
editor = {A. H. M. Levelt},
pages = {195--207},
}
@article{Corless:1996,
author = {Robert M. Corless},
title = {{G}r\"obner Bases and Matrix Eigenproblems},
year = {1996},
journal = {Sigsam Bulletin: Communications in Computer Algebra},
volume = {30},
number = {4},
month = {December},
pages = {26--32},
}
@article{LambertW:1993,
author = {Robert M. Corless and Gaston H. Gonnet and
D. E. G. Hare and David J. Jeffrey},
title = {Lambert's $W$ Function in Maple},
journal = {Maple Technical Newsletter},
volume = {9},
season = {Spring},
year = {1993},
pages = {12--22},
}
@article{proviso:1992,
author = {Robert M. Corless and David J. Jeffrey},
title = {Well, it isn't quite that simple$\ldots$},
journal = {SIGSAM Bulletin},
volume = {26},
number = {3},
month = {August},
year = {1992},
pages = {2--6},
}
@techreport{echelon:1991,
author = {Robert M. Corless and D. J. Jeffrey and M. A. H.
Nerenberg},
title = {The Row-Echelon Decomposition of a Matrix},
number = {AM-91-01},
department = {Applied Mathematics},
institution = {The University of Western Ontario},
year = {1991},
}
@book{CoxLittleOShea:1992,
author = {David Cox and John Little and Donal O'Shea},
title = {Ideals, Varieties, and Algorithms},
publisher ={Springer-Verlag},
year = {1992},
}
@book{DavenportSiretTournier:1988,
author = {J. H. Davenport and Y. Siret and E. Tournier},
title = {Computer Algebra},
publisher = {Academic Press},
year = {1988},
}
@book{Davis:1962,
author = {Harold T. Davis},
title = {Introduction to Linear and Nonlinear Differential and
Integral Equations},
publisher = {Dover},
year = {1962},
}
@book{deBruijn:1961,
author = {N. G. {de Bruijn}},
year = {1961},
title = {Asymptotic Methods in Analysis},
publisher = {North-Holland},
}
@book{Demmel:1997,
author = "James W. Demmel",
title = "Applied Numerical Linear Algebra",
publisher = "SIAM",
year = "1997",
}
@article{DemmelKagstrom:1987,
author = {James W. Demmel and Bo K\aa gstr\"om},
title = {Computing Stable Eigendecompositions of Matrix Pencils},
journal = {Linear Algebra and its Applications},
volume = {88/89},
pages = {139--186},
year = {1987},
}
@inbook{Euler:1779,
author = {Leonhard Euler},
title = {``{D}e serie {L}ambertina plurimisque eius
insignibus proprietatibus''},
booktitle = {Opera Omnia},
series = {Opera Mathematica 1},
volume = {6},
year = {1921 (orig. date 1779)},
pages = {350--369},
}
@article{FGLM:1993,
author = {J. C. Faug\`ere and P. Gianni and D. Lazard and T.
Mora},
title = {Efficient Computation of Zero-dimensional {G}r\"obner Bases
by Change of Ordering},
journal = {J. Symbolic Computation},
volume = {16},
year = {1993},
pages = {329--344},
}
@book{GeddesCzaporLabahn:1992,
author = {Keith O. Geddes and Stephen R. Czapor and George Labahn},
title = {Algorithms for Computer Algebra},
year = {1992},
publisher = {Kluwer},
}
@book{GolubVanLoan:1989,
author = {Gene Golub and Charles Van Loan},
title = {Matrix Computations},
publisher = {Johns Hopkins},
edition = {2nd},
year = {1989},
}
@inproceedings{GonzalezVega:1995,
author = {Laureano Gonzalez-Vega},
title = {Some examples of problem
solving by using the symbolic viewpoint when dealing with polynomial
systems of equations},
booktitle = {Computer Algebra in Science and Engineering},
editor = {J. Fleischer and J. Grabmeier and F. W. Hehl and W.
K\"uchlin},
publisher = {World Scientific},
pages = {102--116},
year = {1995},
}
@book{GKP:1994,
author = {Ronald L. Graham and Donald E. Knuth and Oren Patashnik},
title = {Concrete Mathematics},
year = {1994},
publisher = {Addison-Wesley},
}
@article{GuggenheimerEdelmanJohnson:1995,
author = {Heinrich W. Guggenheimer and Alan S. Edelman and Charles R.
Johnson},
title = {A Simple Estimate of the Condition Number of a Linear
System},
journal = {The College Mathematics Journal},
month = {January},
volume = 26,
number = 1,
year = 1995,
pages = {2--5},
}
@book{Hager:1988,
author = {William W. Hager},
title = {Applied Numerical Linear Algebra},
year = {1988},
publisher = {Prentice-Hall},
city = {Englewood Cliffs, NJ},
}
@book{HairerNorsettWanner:1987,
author = {Ernst Hairer and Syvert P. N\o rsett and Gerhard Wanner},
title = {Solving Ordinary Differential Equations},
volume = {I},
publisher = {Springer-Verlag},
series = {Computational Mathematics},
number = {8},
city = {Berlin},
year = {1987},
}
@book{HairerWanner:1991,
author = {Ernst Hairer and Gerhard Wanner},
title = {Solving Ordinary Differential Equations},
volume = {II},
year = {1991},
publisher = {Springer-Verlag},
series = {Computational Mathematics},
number = {14},
city = {Berlin},
}
@book{Hardy:1952,
author = {Godfrey Harold Hardy},
title = {A Course of Pure Mathematics},
publisher = {Cambridge University Press},
edition = {10th},
year = {1952},
}
@book{Heck1993,
author = {Andr\'e Heck},
title = {Introduction to Maple},
publisher = {Springer-Verlag},
year = {1993},
}
@article{Hendel:1991,
author = {Russell Jay Hendel},
title = {Differentiation via Partial Fractions: A Case against CAS},
journal = {The College Mathematics Journal},
volume = {22},
number = {5},
month = {November},
year = {1991},
pages = {415--417},
}
@book{Henrici:1977,
author = {Peter Henrici},
title = {Applied and Computational Complex Analysis},
volume = {II},
publisher = {Wiley-Interscience},
year = {1977},
}
@book{Higham:1996,
author = "Nicholas J. Higham",
title = "Accuracy and Stability of Numerical Algorithms",
publisher = "SIAM",
address = "Philadelphia",
year = "1996",
}
@book{Hill:1996,
author = {Richard O. {Hill, Jr.}},
title = {Elementary Linear Algebra},
publisher = {Saunders College Publishing},
year = {1996},
edition = {3rd},
}
@article{HribernigStetter:1997,
author = {V. Hribernig and Hans J. Stetter},
title = {Detection and Validation of Clusters of Polynomial Zeros},
journal = {Journal of Symbolic Computation},
year = {1997},
volume = {to appear},
}
@book{HubbardWest:1991,
author = {John H. Hubbard and Beverly H. West},
title = {Differential Equations: a Dynamical Systems Approach},
part = {I},
publisher = {Springer-Verlag},
year = {1991},
}
@book{HornJohnson:1985,
author = {Roger Horn and Charles Johnson},
title = {Matrix Analysis},
publisher = {Cambridge University Press},
year = {1985},
}
@book{Householder:1964,
author = {Alton S. Householder},
title = {The theory of matrices in numerical analysis},
publisher = {Dover},
year = {1964},
}
@article{HullMathon:1996,
author = {T. E. Hull and R. Mathon},
title = {The Mathematical Basis and a Prototype Implementation
of a New Polynomial Rootfinder with Quadratic Convergence},
year = {1996},
journal = {ACM Transactions on Mathematical Software},
volume = {22},
number = {3},
month = {September},
pages = {261--280},
}
@book{Jacobson:1989,
author = {Nathan Jacobson},
title = {Basic Algebra},
edition = {2nd},
publisher = {W.~H.~Free\-man},
year = {1989},
}
@article{ComptesRendus:1995,
key = {D.J. Jeffrey {\sl et al.}},
author={David J. Jeffrey and Robert M. Corless and David E. G. Hare
and Donald E. Knuth},
title = {``{S}ur l'inversion de $y^\alpha e^y$ au moyen des
nombres de {S}tirling associ\'es''},
journal = {Comptes Rendus de l'Acad\'emie des Sciences, Paris},
volume = {320},
series = {I},
pages = {1449--1452},
year = {1995},
}
@article{unwindw:1996,
author = {David J. Jeffrey and David E. G. Hare and Robert M.
Corless},
title = {``{U}nwinding the branches of the {L}ambert {$W$}
function''}, journal = {Mathematical Scientist},
year = {1996},
pages = {1--7},
volume = {21},
}
@article{Kahan:1980,
author = {William M. Kahan},
title = {Handheld calculator evaluates integrals},
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@inproceedings{Kahan:1986,
author = {William M. Kahan},
title = {Branch cuts for complex elementary functions, or,
Much Ado about Nothing's Sign Bit},
booktitle = {The state of the art in numerical analysis:
Proceedings of the Joint IMA/SIAM Conference},
location = {University of Birmingham},
month = {April},
editor = {M. J. D. Powell and A. Iserles},
publisher = {Oxford University Press},
year = 1986,
}
@book{KahanerMolerNash:1989,
author = {David Kahaner and Cleve Moler and Stephen Nash},
title = {Numerical Methods and Software},
publisher = {Prentice-Hall},
year = {1989},
}
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@book{Knuth:ARTI,
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@article{Knuth:1992,
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@article{KnuthPittel:1989,
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@article{Labelle:1980,
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@book{Lanczos:1988,
author = {Cornelius Lanczos},
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@article{Lauwerier:1963,
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@book{Lawden:1989,
author = {Derek F. Lawden},
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@book{Lay:1993,
author = {David C. Lay},
title = {Linear Algebra and its Applications},
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@book{LevinsonRedheffer:1970,
author = {Norman Levinson and Raymond M. Redheffer},
title = {Complex Variables},
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}
@article{Li:1997,
author = "T. Y. Li",
journal = "",
title = "",
year = "1997",
volume = "",
number = "",
issue = "",
pages = "",
}
@article{ManochaDemmel:1995,
author = {Dinesh Manocha and James W. Demmel},
title = {Algorithms for Intersecting Parametric and Algebraic Curves
{II}; Multiple Intersections},
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Models and Image Processing},
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number = {2},
pages = {81--100},
}
@article{ManochaKrishnan:1996,
author = {Dinesh Manocha and Shankar Krishnan},
title = {Solving Algebraic Systems using Matrix Computations},
journal = {Sigsam Bulletin: Communications in Computer Algebra},
year = {1996},
issue = {118},
volume = {30},
number = {4},
month = {December},
pages = {4--21},
}
@article{Marsaglia:1990,
key = {Marsaglia and Marsaglia},
author = {George Marsaglia and John C. Marsaglia},
journal = {American Mathematical Monthly},
year = {1990},
volume = {97},
title = {{A} New Derivation of {S}tirling's Approximation to
$n!$},
pages = {826--829},
}
@book{McCauley:1993,
author = {J. L. McCauley},
title = {Chaos, Dynamics, and Fractals},
publisher = {Cambridge University Press},
series = {Nonlinear Science},
volume = {2},
year = {1993},
}
@article{MollerStetter:1995,
author = {H. Michael M\"oller and Hans J. Stetter},
title = {Multivariate polynomial equations with multiple zeros solved
by matrix eigenproblems},
journal = {Numerische Mathematik},
volume = {70},
number = 3,
pages = {311--330},
year = {1995},
}
@inproceedings{MonaganNeuenschwander:1993,
author = {Michael B. Monagan and Walter M. Neuenschwander},
title = {{GRADIENT}: Algorithmic differentiation in {M}aple},
booktitle = {Proceedings ISSAC},
city = {Kiev, Ukraine},
pages = {68--76},
year = {1993},
}
@book{Morgan:1987,
author = {Alexander Morgan},
title = {Solving Polynomial Systems Using Continuation for Engineering
and Scientific Problems},
publisher = {Prentice-Hall},
year = {1987},
}
@article{Murnaghan:1972,
author = {Francis D. Murnaghan},
title = {{A}irey's Converging Factor},
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}
@article{NakosTurnerWilliams:1997,
author = {George C. Nakos and Peter R. Turner and Robert M. Williams},
title = {Fraction-Free Algorithms for Linear and Polynomial Equations},
journal = {\textsc{Sigsam} Bulletin (Communications in Computer Algebra)},
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