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Equations -- Numerical solutions

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• Equations

• Algebra -- Graphic methods

• Equations -- Numerical solutions -- Computer programs
• Equations -- Numerical solutions -- Data processing
• Conjugate gradient methods
• Equations, Simultaneous -- Numerical solutions
• Equations, Theory of -- Numerical solutions
• Hardy-Littlewood method

• Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods, by Richard Barrett, Michael Berry, Tony Chan, James Demmel, June Donato, Jack Dongarra, Victor Eijkhout, Roldan Pozo, Charles Romine, and Henk Van der Vorst (HTML at netlib.org)
• Syntagma mathesios: containing the resolution of equations: with a new way of solving cubic and biquadratic equations, analytically and geometrically. Also the universal method of converging series ... Wherein also are treated the series for trigonometrical operations; some new useful properties of conics; centre of oscillation; the direct and inverse method of the laws of centripetal forces; a variety of exponential equations; with the investigation of several other abstruse problems, &c. To which is prefixed, An essay on the mathematics. (Printed for J. Fuller, 1745), by Francis Holliday (page images at HathiTrust)
• Die auflösung der höheren numerischen gleichungen, als beantwortung einer von der Königl. Akademie der wissenschaften zu Berlin aufgestellten preisfrage (F. Schulthess, 1837), by Carl Heinrich Gräffe (page images at HathiTrust)
• General method of solving equations of all degrees; applied particularly to equations of the second, third, fourth, and fifth degrees. (London, 1868), by Oliver Byrne (page images at HathiTrust)
• Equations. (Colorado college, 1907), by Florian Cajori and Erland Samuel Bring (page images at HathiTrust)
• A history of the arithmetical methods of approximation to the roots of numerical equations of one unknown quantity (Colorado College, 1910), by Florian Cajori (page images at HathiTrust)
• Resolucion general de las escuaciones numéricas por el método de Gräffe. (Impr. de la v. é h.de D. E. Aguado, 1879), by Johann Franz Encke and Miguel Merino (page images at HathiTrust)
• A treatise containing an entire new method of solving adfected quadratic, and cubic equations, with their application to the solution of biquadratic ones; in an easier, and more concise way, then any yet publish'd; together with the demonstrations of the methods. And a set of new tables for finding the roots of cubics. (Printed by T. Aris, 1746), by W. Brown and Anthony Thacker (page images at HathiTrust)
• Traité de la résolution des équations numériques de tous les degrés, avec des notes sur plusieurs points de la théorie des équations algébriques (Chez Courcier, 1808), by J. L. Lagrange and Louis Poinsot (page images at HathiTrust)
• Traité de la résolution des équations numériques de touts les degrés, avec des notes sur plusieurs points de la théorie des équations algébriques. (Bachelier, 1826), by J. L. Lagrange and Louis Poinsot (page images at HathiTrust)
• The universal solution for numerical and literal equations : by which the roots of equations of all degrees can be expressed in terms of their coefficients (The Mathematical book company, 1900), by M. A. McGinnis (page images at HathiTrust)
• New and easy method of solution of the cubic and biquadratic equations, embracing several new formulas, greatly simplifying this department of mathematical science. Designed as a sequel to the elements of algebra, and for the use of schools and academies. (Longmans, Green, Reader, and Dyer;, 1866), by Orson Pratt (page images at HathiTrust)
• Praxis der gleichungen (G. J. Göschen, 1900), by Runge C. (Carl) (page images at HathiTrust; US access only)
• Praxis der Gleichungen (W. de Gruyter & co., 1921), by Carl Runge (page images at HathiTrust; US access only)
• Abhandlung über die Auflösung der numerischen Gleichungen (1835) (W. Engelmann, 1904), by Charles-François Sturm and Alfred Loewy (page images at HathiTrust; US access only)
• The analysis and solution of cubic and biquadratic equations; forming a sequel to the Elements of algebra, and an introduction to the Theory and solution of equations of the higher orders. (Souter and Law, 1842), by J. R. Young (page images at HathiTrust)
• Nouvelle méthode pour la résolution des équations numériques d'un degré quelconque; d'après laquelle tout le calcul exigé pour cette résolution se réduit à l'emploi des deux premiers régles de l'arithmétique (Chez Courcier, 1807), by Ferdinand Franc̦ois Désiré Budan de Boislaurent and Agricole Joseph François Xavier Pierre Espirit Simon Paul Antoine Fortia d'Urban (page images at HathiTrust)
• Modern computing methods. (Philosophical Library, 1961), by National Physical Laboratory (Great Britain) (page images at HathiTrust)
• On the solution of normal equations and related topics (Lithoprinted by Edwards Brothers, inc.], 1946), by David B. Duncan and John F. Kenney (page images at HathiTrust)
• Contributions to the solution of systems of linear equations and the determination of eigenvalues. (U. S. Govt. Print. Off.], 1954), by Olga Taussky (page images at HathiTrust)
• Direkte <exakte> lösung des einfachen rückwärtseinschneidens im raume ... (R. Reiss g.m.b.h., 1925), by Franz Johann Müller (page images at HathiTrust; US access only)
• Recherches sur la résolution des équations numériques. ([Brussels, 1826), by Germinal Pierre Dandelin (page images at HathiTrust)
• Anweisung zur auflösung der höhern numerischen gleichungen mit einer oder mehrer unbekannten grössen (G. Reimer, 1837), by Johann Albert Eytelwein (page images at HathiTrust)
• De aequationibus numericis superioris ordinis. Commentatio mathemathica-historica (typis Theissingianis, 1856), by Mauritius Felix Focke (page images at HathiTrust)
• Fragments sur le calcul numérique ([Bruxelles, 1875), by Jean-Charles Houzeau (page images at HathiTrust)
• Extraction of the real roots of numerical equations of all denominations. (Printed for all the booksellers, 1826), by W. Hoyle (page images at HathiTrust)
• Zur Auflösung der numerischen Gleichungen. (Deutsch-Crone, 1858) (page images at HathiTrust)
• The universal solution for numerical and literal equations; by which the roots of equations of all degrees can be expressed in terms of their coefficients (S. Sonnenschein & Co., Lim., 1900), by M. A. McGinnis (page images at HathiTrust; US access only)
• 1. Anwendung der Horner'schen Methode zur Berechnung der imaginären Wurzeln numerischer Gleichungen. 2. Zur Bestimmung der linearen Vergrösserung eines Fernrohres. (Innsbruck, 1884), by Karl von Mor (page images at HathiTrust)
• Das grösste Problem der Rechenkunst gelöst. Rationelle und an Einfachheit unübertreffbare Methode zur Auflösung von numerischen Gleichungen beliebigen Grades. Mit Anhang: Ein neuer Satz der Planimetrie. Der Mutmassliche Schlüssel zum Malfatti'schen Problem. (A. Otto, 1894), by Aug Otto (page images at HathiTrust)
• Ueber Auflösung der Zahlengleichungen durch arithmetische Reihen. (Freiburg i. B., 1866), by J. Rheinauer (page images at HathiTrust)
• Entdeckung einer numerischen General-Auflösung aller höhern endlichen Gleichungen von jeder beliebigen algebraischen und transcendenden Form. (Romberg's Verlag, 1845), by A. F. Vogel (page images at HathiTrust)
• Théorie générale des approximations numériques, suivie d'une application à la résolution des équations numériques. (Paris, 1854), by Jules Marie Louis Vieille (page images at HathiTrust)
• Notice sur une methode elementaire de resoudre les equations numeriques d'un degré quelconque par la sommation des series (chez U. Lundberg, 1847), by C. A. Agardh (page images at HathiTrust)
• Tables numériques des équations de Lagrange (Glydendalske boghandel;, 1925), by Niels Nielsen (page images at HathiTrust; US access only)
• The algebraic solution of equations of any degree; a novel, simple and direct method for the solution of equations of the nth degree (Pub. for the authors by the Whitaker & Ray company, 1899), by L. A. Buchanan and J. Lewis André (page images at HathiTrust)
• Über die ganzzahligen Polynome, die für unendlich viele Primzahlmoduln Permutationen liefern (s.n., 1928), by Udo Wegner (page images at HathiTrust; US access only)
• Mémoire sur la résolution des équations numériques (.s.n., 1835), by Charles-François Sturm (page images at HathiTrust)
• Mémoire sur les équations résolubles algébriquement. (A. Hermann, Librairie scientifique, 1887), by Théodore Despeyrous (page images at HathiTrust)
• Vorlesungen über numerisches Rechnen. (B. G. Teubner, 1900), by Jacob Lüroth (page images at HathiTrust; US access only)
• Théorie du plus grand commun diviseur algébrique et de l'élimination entre deux équations à deux inconnues (Bachelier, 1827), by M. Lefébure de Fourcy (page images at HathiTrust)
• A new, simple, and general method of solving numerical equations of all orders. (Pub. for the author by Hamilton, Adams, and Co. [etc.], 1842), by Thomas Weddle (page images at HathiTrust)
• A method of approximating towards the roots of cubic equations belonging to the irreducible case (Printed for the author, 1813), by James Lookhart (page images at HathiTrust)
• Analytische entdeckungen in der verwandlungs- und auflösungs-kunst der höhern gleichungen. (G.A. Lange, 1794), by Adam Ehregott Leberecht Hulbe (page images at HathiTrust)
• Method for the solution of the algebraic eigen problem for the IBM 7074 computer (Ames Laboratory, Iowa State University of Science and Technology, 1963), by William J. Higby, Ames Laboratory, and U.S. Atomic Energy Commission (page images at HathiTrust)
• Rechenblätter. (Berlin, 1902), by Hermann Fürle (page images at HathiTrust; US access only)
• I. Auflösung der Zahlengleichungen des dritten, vierten und fünften Grades mit einer Unbekannten. II. Reciproke (mit Einschluss der binomischen) und ihnen ähnliche Gleichungen bis zum achten Grade incl. III. Bemerkung zur Cartesischen Auflösungsformel biquadratischer Gleichungen. Die reelle Wurzel der Gleichung x³-2x-5=0 in 60 Decimalstellen. (Innsbruck, 1865), by Josef Dvořák (page images at HathiTrust)
• Elementäre Ableitung der Budan-Horner'schen Auflösungs-Methode höherer Zahlengleichungen. ([Laibach, 1865), by J. J. Nejedli (page images at HathiTrust)
• Die auflösung der höheren numerischen gleichungen durch successives quadriren der wurzeln. 1. theil. (Dillingen, 1862), by Martin Piller (page images at HathiTrust)
• Die vollständige lösung numerischer gleichungen, bei welcher durch ein und dasselbe verfahren sowohl die imaginären als auch die reellen wurzeln leicht bestimmt werden ... (Halle, 1849), by William Rutherford and August Wiegand (page images at HathiTrust)
• Die auflösung dreigliedriger algebraischer gleichungen durch reihen, mit einer tabelle von log I(x) für x=1,00 bis 10,99; 11,0 bis 100,9; 101 101,5 bis 199 199,5; 200 bis 500. (Leipzig, 1873), by Adelbert Gebhardt (page images at HathiTrust)
• Méthodes nouvelles pour determiner les racines des équations numériques et les intégrales définies simples ou doubles, avec le rapport approbatif fait à l'Académie des sciences sur la 2me partie. (Durand-Belle, 1818), by Joseph Balthasar Bérard (page images at HathiTrust)
• A numerical solution to the angle-integrated boltzmann equation (General Electric, Aircraft Nuclear Propulsion Dept., Atomic Products Division, 1958), by J. H. Bennett, J. R. Terrall, and General Electric Company. Aircraft Nuclear Propulsion Department. Atomic Products Division (page images at HathiTrust)
• Reprint of "A description of a machine for finding the numerical roots of equations and tracing a variety of useful curves." Communicated to the British Association, 1845. With an appendix containing extracts from papers relating to the invention of the tide predicter. (Cambridge, 1892), by Francis Bashforth and Cambridge British Association (page images at HathiTrust)
• Appendice alle memorie Sulla risoluzione numerica delle equazioni inserite nel volumi III, IV, VI, ecc. del m.e. prof. Giusto Bellavitis. ([Venezia, 1860), by Giusto Bellavitis (page images at HathiTrust)
• Sulla risoluzione numerica delle equazioni. (Presso la Segreteria dell'I. R. Istituto, 1857), by Giusto Bellavitis (page images at HathiTrust)
• The use of a balance equation model in the numerical weather prediction (Air Force Cambridge Research Laboratories, Air Force Systems Command, United States Air Force, 1975), by Samuel Y. K. Yee and Air Force Cambridge Research Laboratories (U.S.) (page images at HathiTrust)
• Convergence of iterative methods applied to large overdetermined linear and nonlinear systems of equations using least squares (Boulder, Colo. : Earth Sciences Laboratories, 1970., 1970), by Charles O. Stearns and L. R. Alldredge (page images at HathiTrust)
• Canon Pellianus : sive, Tabula simplicissimam aequationis celebratissimae y²=ax² + 1 solutionem, pro singulis numeri dati valoribus ab 1 usque ad 1000 in numeris rationalibus iisdemque integris exhibens (apud Gerhardum Bonnierum, 1817), by Carl Ferdinand Degen and John Pell (page images at HathiTrust)

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