Rall, Louis B.
Overview
Works:  71 works in 190 publications in 2 languages and 1,976 library holdings 

Genres:  Conference papers and proceedings Periodicals 
Roles:  Author, Editor 
Classifications:  QA3, 515.7 
Publication Timeline
.
Most widely held works by
Louis B Rall
Computational solution of nonlinear operator equations by
Louis B Rall(
Book
)
21 editions published between 1969 and 1979 in English and Undetermined and held by 444 WorldCat member libraries worldwide
21 editions published between 1969 and 1979 in English and Undetermined and held by 444 WorldCat member libraries worldwide
Nonlinear functional analysis and applications by
Louis B Rall(
Book
)
12 editions published between 1971 and 2014 in English and Undetermined and held by 376 WorldCat member libraries worldwide
12 editions published between 1971 and 2014 in English and Undetermined and held by 376 WorldCat member libraries worldwide
Error in digital computation by
Louis B Rall(
Book
)
19 editions published in 1965 in English and Undetermined and held by 373 WorldCat member libraries worldwide
19 editions published in 1965 in English and Undetermined and held by 373 WorldCat member libraries worldwide
Automatic differentiation : techniques and applications by
Louis B Rall(
Book
)
17 editions published between 1981 and 2007 in English and German and held by 368 WorldCat member libraries worldwide
17 editions published between 1981 and 2007 in English and German and held by 368 WorldCat member libraries worldwide
Nonlinear functional analysis and applications : proceedings of an advanced seminar conducted by the Mathematics Research
Center, the University of Wisconsin, Madison, October 1214, 1970 by Advanced Seminar on Nonlinear Functional Analysis and Applications(
Book
)
9 editions published between 1971 and 1980 in English and held by 74 WorldCat member libraries worldwide
Nonlinear Functional Analysis and Applications
9 editions published between 1971 and 1980 in English and held by 74 WorldCat member libraries worldwide
Nonlinear Functional Analysis and Applications
Error in digital computation(
Book
)
4 editions published in 1965 in English and held by 23 WorldCat member libraries worldwide
4 editions published in 1965 in English and held by 23 WorldCat member libraries worldwide
Error in digital computation by Symposium on Error in Digital Computation(
Book
)
1 edition published in 1965 in English and held by 19 WorldCat member libraries worldwide
1 edition published in 1965 in English and held by 19 WorldCat member libraries worldwide
PASCALSC : wirkungsvoll programmieren, kontrolliert rechnen by
Gerd Bohlender(
Book
)
2 editions published in 1986 in German and held by 18 WorldCat member libraries worldwide
Software  Programming Languages
2 editions published in 1986 in German and held by 18 WorldCat member libraries worldwide
Software  Programming Languages
INTE : a Univac 1108/1110 program for numerical integration with rigorous error estimation by Julia H Gray(
Book
)
3 editions published in 1975 in English and held by 8 WorldCat member libraries worldwide
3 editions published in 1975 in English and held by 8 WorldCat member libraries worldwide
Error in digital computation : proceedings of an advanced seminar, United States Army, at the Universtiy of Wisconsin, Madison,
October 5  7, 1964(
Book
)
1 edition published in 1965 in English and held by 8 WorldCat member libraries worldwide
1 edition published in 1965 in English and held by 8 WorldCat member libraries worldwide
Error in digital computation : proceedings of an advanced seminar, United States Army, at the Universtiy of Wisconsin, Madison,
October 5  7, 1964(
Book
)
1 edition published in 1965 in English and held by 8 WorldCat member libraries worldwide
1 edition published in 1965 in English and held by 8 WorldCat member libraries worldwide
Error in digital computation; proceedings of an advanced seminar conducted by
Louis B Rall(
Book
)
1 edition published in 1965 in English and held by 8 WorldCat member libraries worldwide
1 edition published in 1965 in English and held by 8 WorldCat member libraries worldwide
Error in digital computation by
Louis B Rall(
Book
)
4 editions published in 1965 in English and held by 7 WorldCat member libraries worldwide
4 editions published in 1965 in English and held by 7 WorldCat member libraries worldwide
Error in digital computation(
Book
)
4 editions published in 1965 in English and Undetermined and held by 6 WorldCat member libraries worldwide
4 editions published in 1965 in English and Undetermined and held by 6 WorldCat member libraries worldwide
Error in digital computation : proceedings of an advanced seminar conducted by the Mathematics Research Center, United States
Army(
Book
)
in English and held by 4 WorldCat member libraries worldwide
in English and held by 4 WorldCat member libraries worldwide
Proceedings of an advanced seminar conducted by the Mathematics Research Center : Madison, October 57, 1964(
Book
)
2 editions published in 1965 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1965 in English and held by 4 WorldCat member libraries worldwide
A univac 1108 program for obtaining rigorous error estimates for approximate solutions of systems of equations by Dennis Kuba(
Book
)
4 editions published in 1972 in English and held by 4 WorldCat member libraries worldwide
4 editions published in 1972 in English and held by 4 WorldCat member libraries worldwide
A method for the numerical solution of twopoint boundary value problems based on the use of Volterra integral operators by
H Fujita(
Book
)
4 editions published in 1973 in English and held by 4 WorldCat member libraries worldwide
4 editions published in 1973 in English and held by 4 WorldCat member libraries worldwide
Error in digital computation(
Book
)
3 editions published in 1965 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1965 in English and held by 4 WorldCat member libraries worldwide
Rates of Convergence of Newton's Method by
Louis B Rall(
Book
)
4 editions published in 1972 in English and held by 4 WorldCat member libraries worldwide
Given an operator P in a Banach space X with Lipschitz continuous derivative P primed, it is shown that the existence of 1/(P primed (x + 1)) is necessary and sufficient to predict on the basis of the theorem of L.V. Kantorovic that the Newton sequence x sub (n + 1) = (x sub n)  P(x sub n)/(P primed(s sub n)) will converge to a solution x of the equation P(x) = o quadratically. Some examples are given of convergent Newton sequences for which convergence and the rate of convergence cannot be predicted by the Kantorovic theorem. (Author)
4 editions published in 1972 in English and held by 4 WorldCat member libraries worldwide
Given an operator P in a Banach space X with Lipschitz continuous derivative P primed, it is shown that the existence of 1/(P primed (x + 1)) is necessary and sufficient to predict on the basis of the theorem of L.V. Kantorovic that the Newton sequence x sub (n + 1) = (x sub n)  P(x sub n)/(P primed(s sub n)) will converge to a solution x of the equation P(x) = o quadratically. Some examples are given of convergent Newton sequences for which convergence and the rate of convergence cannot be predicted by the Kantorovic theorem. (Author)
more
fewer
Audience Level
0 

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Related Identities
 University of WisconsinMadison Mathematics Research Center
 Mathematics Research Center (United States. Army)
 University of Wisconsin
 Bohlender, Gerd Author
 United States Army
 Gray, Julia H. Author
 WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
 Mathematics Research Center
 University of Wisconsin
 United States Army Mathematics Research Center, Madison, Wisconsin
Associated Subjects
Boundary value problems Computer arithmetic Computer programming Convergence Differential calculusData processing Electronic digital computers EquationsNumerical solutions EquationsNumerical solutionsComputer programs Error analysis (Mathematics) Functional analysis Integral operators Iterative methods (Mathematics) Mathematics Mathematics Research Center (United States. Army) NewtonRaphson method Nonlinear functional analysis Nonlinear operators Numerical analysis Numerical integration Operator equationsNumerical solutions PascalSC (Computer program language) Roundoff errors Univac 1108 (Computer) Univac computerProgramming