Edmond Laguerre
Encyclopedia
Edmond Nicolas Laguerre (April 9, 1834, Bar-le-Duc
– August 14, 1886, Bar-le-Duc
) was a French
mathematician
, a member of the Académie française
(1885). His main works were in the areas of geometry
and complex analysis
. He also investigated orthogonal polynomials
(see Laguerre polynomials
). Laguerre's method
is a root-finding algorithm
tailored to polynomials, named after him.
, Henri Poincaré
, et Eugène Rouché
. (Paris, 1898-1905) (reprint: New York : Chelsea publ., 1972 ISBN 0-8284-0263-9)
Bar-le-Duc
Bar-le-Duc, formerly known as Bar, is a commune in the Meuse département, of which it is the préfecture . The department is in Lorraine in north-eastern France-Geography:...
– August 14, 1886, Bar-le-Duc
Bar-le-Duc
Bar-le-Duc, formerly known as Bar, is a commune in the Meuse département, of which it is the préfecture . The department is in Lorraine in north-eastern France-Geography:...
) was a French
France
The French Republic , The French Republic , The French Republic , (commonly known as France , is a unitary semi-presidential republic in Western Europe with several overseas territories and islands located on other continents and in the Indian, Pacific, and Atlantic oceans. Metropolitan France...
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
, a member of the Académie française
Académie française
L'Académie française , also called the French Academy, is the pre-eminent French learned body on matters pertaining to the French language. The Académie was officially established in 1635 by Cardinal Richelieu, the chief minister to King Louis XIII. Suppressed in 1793 during the French Revolution,...
(1885). His main works were in the areas of geometry
Geometry
Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers ....
and complex analysis
Complex analysis
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers. It is useful in many branches of mathematics, including number theory and applied mathematics; as well as in physics,...
. He also investigated orthogonal polynomials
Orthogonal polynomials
In mathematics, the classical orthogonal polynomials are the most widely used orthogonal polynomials, and consist of the Hermite polynomials, the Laguerre polynomials, the Jacobi polynomials together with their special cases the ultraspherical polynomials, the Chebyshev polynomials, and the...
(see Laguerre polynomials
Laguerre polynomials
In mathematics, the Laguerre polynomials, named after Edmond Laguerre ,are the canonical solutions of Laguerre's equation:x\,y + \,y' + n\,y = 0\,which is a second-order linear differential equation....
). Laguerre's method
Laguerre's method
In numerical analysis, Laguerre's method is a root-finding algorithm tailored to polynomials. In other words, Laguerre's method can be used to solve numerically the equation\ p = 0 for a given polynomial p...
is a root-finding algorithm
Root-finding algorithm
A root-finding algorithm is a numerical method, or algorithm, for finding a value x such that f = 0, for a given function f. Such an x is called a root of the function f....
tailored to polynomials, named after him.
Works
Oeuvres de Laguerre publ. sous les auspices de l'Académie des sciences par MM. Charles HermiteCharles Hermite
Charles Hermite was a French mathematician who did research on number theory, quadratic forms, invariant theory, orthogonal polynomials, elliptic functions, and algebra....
, Henri Poincaré
Henri Poincaré
Jules Henri Poincaré was a French mathematician, theoretical physicist, engineer, and a philosopher of science...
, et Eugène Rouché
Eugène Rouché
Eugène Rouché was a French mathematician.-Career:...
. (Paris, 1898-1905) (reprint: New York : Chelsea publ., 1972 ISBN 0-8284-0263-9)