Woźniakowski, H.
Overview
Works:  91 works in 182 publications in 2 languages and 1,956 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor 
Classifications:  QA297, 511.4028542 
Publication Timeline
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Most widely held works by
H Woźniakowski
A general theory of optimal algorithms by
J. F Traub(
Book
)
12 editions published between 1980 and 1983 in 3 languages and held by 461 WorldCat member libraries worldwide
12 editions published between 1980 and 1983 in 3 languages and held by 461 WorldCat member libraries worldwide
Information, uncertainty, complexity by
J. F Traub(
Book
)
13 editions published between 1983 and 1988 in 3 languages and held by 355 WorldCat member libraries worldwide
13 editions published between 1983 and 1988 in 3 languages and held by 355 WorldCat member libraries worldwide
Informationbased complexity by
J. F Traub(
Book
)
11 editions published in 1988 in English and Undetermined and held by 305 WorldCat member libraries worldwide
11 editions published in 1988 in English and Undetermined and held by 305 WorldCat member libraries worldwide
Tractability of multivariate problems by
Erich Novak(
Book
)
7 editions published between 2008 and 2012 in English and held by 102 WorldCat member libraries worldwide
7 editions published between 2008 and 2012 in English and held by 102 WorldCat member libraries worldwide
Essays on the complexity of continuous problems by
Erich Novak(
Book
)
5 editions published in 2009 in English and held by 65 WorldCat member libraries worldwide
"This book contains five essays on the complexity of continuous problems, written for a wider audience. The first four essays are based on talks presented in 2008 when Henryk Wozniakowski received an honorary doctoral degree from the Friedrich Schiller University of Jena. The focus is on the introduction and history of the complexity of continuous problems, as well as on recent progress concerning the complexity of highdimensional numerical problems. The last essay provides a brief and informal introduction to the basic notions and concepts of informationbased complexity addressed to a general readership."Publisher's description
5 editions published in 2009 in English and held by 65 WorldCat member libraries worldwide
"This book contains five essays on the complexity of continuous problems, written for a wider audience. The first four essays are based on talks presented in 2008 when Henryk Wozniakowski received an honorary doctoral degree from the Friedrich Schiller University of Jena. The focus is on the introduction and history of the complexity of continuous problems, as well as on recent progress concerning the complexity of highdimensional numerical problems. The last essay provides a brief and informal introduction to the basic notions and concepts of informationbased complexity addressed to a general readership."Publisher's description
Optimal recovery : proceedings of the Second International Symposium on Optimal Algorithms, Varna, May 29June 2, 1989 by International Symposium on Optimal Algorithms(
Book
)
2 editions published in 1992 in English and held by 55 WorldCat member libraries worldwide
2 editions published in 1992 in English and held by 55 WorldCat member libraries worldwide
Tractability of multivariate problems by
Erich Novak(
Book
)
6 editions published in 2008 in English and held by 18 WorldCat member libraries worldwide
6 editions published in 2008 in English and held by 18 WorldCat member libraries worldwide
Tractability of multivariate problems by
Erich Novak(
Book
)
5 editions published in 2010 in English and held by 17 WorldCat member libraries worldwide
5 editions published in 2010 in English and held by 17 WorldCat member libraries worldwide
Tractability of multivariate problems by
Erich Novak(
Book
)
4 editions published in 2012 in English and held by 17 WorldCat member libraries worldwide
4 editions published in 2012 in English and held by 17 WorldCat member libraries worldwide
Monte Carlo and quasiMonte Carlo methods 2010 by
Leszek Plaskota(
Book
)
7 editions published in 2012 in English and held by 9 WorldCat member libraries worldwide
This book represents the refereed proceedings of the Ninth International Conference on Monte Carlo and QuasiMonte Carlo Methods in Scientific Computing that was held at the University of Warsaw (Poland) in August 2010. These biennial conferences are major events for Monte Carlo and the premiere event for quasiMonte Carlo research. The proceedings include articles based on invited lectures as well as carefully selected contributed papers on all theoretical aspects and applications of Monte Carlo and quasiMonte Carlo methods. The reader will be provided with information on latest developments in these very active areas. The book is an excellent reference for theoreticians and practitioners interested in solving highdimensional computational problems arising, in particular, in finance and statistics
7 editions published in 2012 in English and held by 9 WorldCat member libraries worldwide
This book represents the refereed proceedings of the Ninth International Conference on Monte Carlo and QuasiMonte Carlo Methods in Scientific Computing that was held at the University of Warsaw (Poland) in August 2010. These biennial conferences are major events for Monte Carlo and the premiere event for quasiMonte Carlo research. The proceedings include articles based on invited lectures as well as carefully selected contributed papers on all theoretical aspects and applications of Monte Carlo and quasiMonte Carlo methods. The reader will be provided with information on latest developments in these very active areas. The book is an excellent reference for theoreticians and practitioners interested in solving highdimensional computational problems arising, in particular, in finance and statistics
General theory of optimal error algorithms and analytic complexity by
J. F Traub(
Book
)
3 editions published between 1977 and 1978 in English and held by 7 WorldCat member libraries worldwide
3 editions published between 1977 and 1978 in English and held by 7 WorldCat member libraries worldwide
Maximal order of multipoint iterations using n evaluations by
H Woźniakowski(
Book
)
3 editions published in 1975 in English and held by 7 WorldCat member libraries worldwide
This paper deals with multipoint iterations without memory for the solution of the nonlinear scalar equation f(m) (x) = 0, m> or = p sub n(m) be the maximal order of iterations which use n evaluations of the function or its derivatives per stop. We prove the Kung and Traub conjecture p sub n(m) (0) = 2(n1) for Hermitian information. We show p sub n(m + 1)> or = p sub n(m) and conjecture p sub n(m) = 2(n1). The problem of the maximal order is connected with Birkhoff interpolation. Under a certain assumption we prove that the Polya conditions are necessary for maximal order
3 editions published in 1975 in English and held by 7 WorldCat member libraries worldwide
This paper deals with multipoint iterations without memory for the solution of the nonlinear scalar equation f(m) (x) = 0, m> or = p sub n(m) be the maximal order of iterations which use n evaluations of the function or its derivatives per stop. We prove the Kung and Traub conjecture p sub n(m) (0) = 2(n1) for Hermitian information. We show p sub n(m + 1)> or = p sub n(m) and conjecture p sub n(m) = 2(n1). The problem of the maximal order is connected with Birkhoff interpolation. Under a certain assumption we prove that the Polya conditions are necessary for maximal order
Numerical stability of iterations for solution of nonlinear equations and large linear systems by
H Woźniakowski(
Book
)
3 editions published in 1975 in English and held by 7 WorldCat member libraries worldwide
Some recent results are discussed concerning the problem of numerical stability of iterations for the solution of nonlinear equations F(x) = 0 and large linear systems Ax+g = 0 where A = A* is positive definite. For systems of nonlinear equations it is assumed that the function F depends on a so called data vector F(x) = F(x;d). One defines the condition number cond(F;d), numerical stability and wellbehavior of iterations for the solution of F(x) = 0. Necessary and sufficient conditions for a stationary iteration to be numerically stable and wellbehaved are presented. It is shown that Newton iteration for the multivariate case and secant iteration for the scalar case are wellbehaved. For large linear systems the author presents the rounding error analysis for the Chebyshev iteration and for the successive approximation iterations. It is shown that these iterations are numerically stable and that the condition number of A is a crucial parameter
3 editions published in 1975 in English and held by 7 WorldCat member libraries worldwide
Some recent results are discussed concerning the problem of numerical stability of iterations for the solution of nonlinear equations F(x) = 0 and large linear systems Ax+g = 0 where A = A* is positive definite. For systems of nonlinear equations it is assumed that the function F depends on a so called data vector F(x) = F(x;d). One defines the condition number cond(F;d), numerical stability and wellbehavior of iterations for the solution of F(x) = 0. Necessary and sufficient conditions for a stationary iteration to be numerically stable and wellbehaved are presented. It is shown that Newton iteration for the multivariate case and secant iteration for the scalar case are wellbehaved. For large linear systems the author presents the rounding error analysis for the Chebyshev iteration and for the successive approximation iterations. It is shown that these iterations are numerically stable and that the condition number of A is a crucial parameter
Optimality of spline algorithms by
G. W Wasilkowski(
Book
)
3 editions published in 1978 in English and held by 6 WorldCat member libraries worldwide
Algorithms were studied for approximating Sf where S is a linear operator and f is an element of a set. The concept of spline algorithms is introduced and optimality properties of these algorithms are established. This unifies and generalizes many known results
3 editions published in 1978 in English and held by 6 WorldCat member libraries worldwide
Algorithms were studied for approximating Sf where S is a linear operator and f is an element of a set. The concept of spline algorithms is introduced and optimality properties of these algorithms are established. This unifies and generalizes many known results
Optimal radius of convergence of interpolatory iterations for operator equations by
J. F Traub(
Book
)
2 editions published in 1976 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1976 in English and held by 6 WorldCat member libraries worldwide
Roundoff error analysis of iterations for large linear systems by
H Woźniakowski(
Book
)
2 editions published in 1977 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1977 in English and held by 6 WorldCat member libraries worldwide
Convergence and complexity of Newton iteration for operator equations by
J. F Traub(
Book
)
2 editions published in 1977 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1977 in English and held by 6 WorldCat member libraries worldwide
Standard information for functionals by
Erich Novak(
Book
)
2 editions published in 2010 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 2010 in English and held by 6 WorldCat member libraries worldwide
Numerical stability for solving nonlinear equations by
H Woźniakowski(
Book
)
3 editions published in 1975 in English and held by 6 WorldCat member libraries worldwide
3 editions published in 1975 in English and held by 6 WorldCat member libraries worldwide
Tractability of multivariate problems by
Erich Novak(
)
2 editions published in 2008 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 2008 in English and held by 5 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Traub, J. F. (Joseph Frederick) 1932 Author
 Wasilkowski, G. W. Author
 Plaskota, Leszek Author Editor
 Novak, Erich 1953 Author
 European Mathematical Society Publisher
 Bojanov, B.
 Bŭlgarska akademii︠a︡ na naukite
 CarnegieMellon University Computer Science Department
 CARNEGIEMELLON UNIV PITTSBURGH PA DEPT OF COMPUTER SCIENCE
 Association for Computing Machinery
Associated Subjects
Algorithms Approximation theory Approximation theoryData processing Banach spaces Complexes Computational complexity Computational complexityData processing Computer scienceMathematics Computer software Convergence Differential equations, Nonlinear Error functions Finance Floatingpoint arithmetic Hilbert space Iterative methods (Mathematics) Linear systems Mathematical optimization Mathematical optimizationData processing Mathematics Monte Carlo method Multivariate analysis Nonlinear theories Numerical analysis Operator equations Roundoff errors