Rall, Louis B.
Overview
Works:  59 works in 192 publications in 2 languages and 1,978 library holdings 

Genres:  Conference papers and proceedings Periodicals 
Roles:  Author, Editor 
Classifications:  QA3, 
Publication Timeline
.
Most widely held works by
Louis B Rall
Nonlinear functional analysis and applications by
Louis B Rall(
Book
)
31 editions published between 1971 and 2014 in English and Undetermined and held by 465 WorldCat member libraries worldwide
Nonlinear Functional Analysis and Applications
31 editions published between 1971 and 2014 in English and Undetermined and held by 465 WorldCat member libraries worldwide
Nonlinear Functional Analysis and Applications
Computational solution of nonlinear operator equations by
Louis B Rall(
Book
)
19 editions published between 1969 and 1979 in English and Undetermined and held by 436 WorldCat member libraries worldwide
19 editions published between 1969 and 1979 in English and Undetermined and held by 436 WorldCat member libraries worldwide
Error in digital computation by
Louis B Rall(
Book
)
29 editions published in 1965 in English and Undetermined and held by 406 WorldCat member libraries worldwide
29 editions published in 1965 in English and Undetermined and held by 406 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 370 WorldCat member libraries worldwide
17 editions published between 1981 and 2007 in English and German and held by 370 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
Error in digital computation : proceedings of an advanced seminar, United States Army, at the Universtiy of Wisconsin, Madison,
October 5  7, 1964(
Book
)
4 editions published in 1965 in English and held by 19 WorldCat member libraries worldwide
4 editions 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 19 WorldCat member libraries worldwide
Software  Programming Languages
2 editions published in 1986 in German and held by 19 WorldCat member libraries worldwide
Software  Programming Languages
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
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(
Book
)
4 editions published in 1965 in English and held by 6 WorldCat member libraries worldwide
4 editions published in 1965 in English and held by 6 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
Computational solution of nonlinear operator equations by
Louis B Rall(
)
1 edition published in 1969 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1969 in English and held by 4 WorldCat member libraries worldwide
Convergence of Stirling's method in Banach spaces by
Louis B Rall(
Book
)
3 editions published in 1972 in English and held by 4 WorldCat member libraries worldwide
3 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
NEWTON: a general purpose program for solving nonlinear systems by Julia H Gray(
Book
)
4 editions published in 1967 in English and held by 4 WorldCat member libraries worldwide
4 editions published in 1967 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)
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
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
On the uniqueness of solutions of quadratic equations by
Louis B Rall(
Book
)
3 editions published in 1967 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1967 in English and held by 3 WorldCat member libraries worldwide
Numerical inversion of Green's matrices by
Louis B Rall(
Book
)
3 editions published in 1971 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1971 in English and held by 3 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 University of WisconsinMadison Mathematics Research Center Organizer of meeting
 Mathematics Research Center (United States. Army)
 University of Wisconsin
 United States Army
 University of WisconsinMadison Mathematics Research Center
 Bohlender, Gerd Author
 Gray, Julia H. Author
 Mathematics Research Center
 WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
 University of Wisconsin Mathematics research center
Associated Subjects
Banach spaces Boundary value problems CDC 3600 (Computer) Computer arithmetic Computer programming Convergence Differential calculusData processing Electronic digital computers Equations, Quadratic EquationsNumerical solutions EquationsNumerical solutionsComputer programs Error analysis (Mathematics) Functional analysis Green's functions Integral operators Iterative methods (Mathematics) Mathematics Mathematics Research Center (United States. Army) Matrices NewtonRaphson method Nonlinear functional analysis Nonlinear operators Numerical analysis Numerical calculationsComputer programs Numerical integration Operator equationsNumerical solutions PascalSC (Computer program language) Roundoff errors Univac 1108 (Computer) Univac computerProgramming