Higham, Nicholas J. 1961
Overview
Works:  12 works in 100 publications in 1 language and 2,763 library holdings 

Genres:  Guidebooks 
Roles:  Author, 958 
Classifications:  QA297, 808.06651 
Publication Timeline
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Most widely held works by
Nicholas J Higham
Handbook of writing for the mathematical sciences by
Nicholas J Higham(
Book
)
41 editions published between 1993 and 2010 in English and held by 981 WorldCat member libraries worldwide
This handy volume, enlivened by anecdotes, unusual paper titles, and humorous quotations, provides even more information on the issues you will face when writing a technical paper or talk, from choosing the right journal in which to publish to handling your references. Its overview of the entire publication process is invaluable for anyone hoping to publish in a technical journal
41 editions published between 1993 and 2010 in English and held by 981 WorldCat member libraries worldwide
This handy volume, enlivened by anecdotes, unusual paper titles, and humorous quotations, provides even more information on the issues you will face when writing a technical paper or talk, from choosing the right journal in which to publish to handling your references. Its overview of the entire publication process is invaluable for anyone hoping to publish in a technical journal
MATLAB guide by
Desmond J Higham(
Book
)
20 editions published between 2000 and 2008 in English and held by 756 WorldCat member libraries worldwide
MATLAB is an interactive system for numerical computation that is widely used for teaching and research in industry and academia. It provides a modern programming language and problem solving environment, with powerful data structures, customizable graphics, and easytouse editing and debugging tools. This second edition of MATLAB Guide completely revises and updates the bestselling first edition and is more than 30% longer. The book remains a lively, concise introduction to the most popular and important features of MATLAB and the Symbolic Math Toolbox
20 editions published between 2000 and 2008 in English and held by 756 WorldCat member libraries worldwide
MATLAB is an interactive system for numerical computation that is widely used for teaching and research in industry and academia. It provides a modern programming language and problem solving environment, with powerful data structures, customizable graphics, and easytouse editing and debugging tools. This second edition of MATLAB Guide completely revises and updates the bestselling first edition and is more than 30% longer. The book remains a lively, concise introduction to the most popular and important features of MATLAB and the Symbolic Math Toolbox
Accuracy and stability of numerical algorithms by
Nicholas J Higham(
Book
)
21 editions published between 1996 and 2002 in English and held by 692 WorldCat member libraries worldwide
Accuracy and Stability of Numerical Algorithms gives a thorough, uptodate treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skewsymmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiplyadd operation found on some modern computer architectures
21 editions published between 1996 and 2002 in English and held by 692 WorldCat member libraries worldwide
Accuracy and Stability of Numerical Algorithms gives a thorough, uptodate treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skewsymmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiplyadd operation found on some modern computer architectures
Functions of matrices : theory and computation by
Nicholas J Higham(
Book
)
9 editions published in 2008 in English and held by 323 WorldCat member libraries worldwide
"Functions of Matrices: Theory and Computation gives a thorough treatment of the theory of matrix functions and numerical methods for computing them, as well as an overview of applications. The book is useful for advanced courses and is wellsuited to selfstudy. The broad content  including f(A)related facts, tricks, and techniques, historical references, and an appendix of background results  makes it convenient as a general reference in matrix analysis and numerical linear algebra."BOOK JACKET
9 editions published in 2008 in English and held by 323 WorldCat member libraries worldwide
"Functions of Matrices: Theory and Computation gives a thorough treatment of the theory of matrix functions and numerical methods for computing them, as well as an overview of applications. The book is useful for advanced courses and is wellsuited to selfstudy. The broad content  including f(A)related facts, tricks, and techniques, historical references, and an appendix of background results  makes it convenient as a general reference in matrix analysis and numerical linear algebra."BOOK JACKET
Proceedings of the Eighth Conference of the International Linear Algebra Society : 1922 July, 1999, Barcelona, Spain by
International Linear Algebra Society(
Book
)
2 editions published in 2001 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 2001 in English and held by 4 WorldCat member libraries worldwide
Dense matrix computations : communication cost and numerical stability by
Amal Khabou(
)
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
This dissertation focuses on a widely used linear algebra kernel to solve linear systems, that is the LU decomposition. Usually, to perform such a computation one uses the Gaussian elimination with partial pivoting (GEPP). The backward stability of GEPP depends on a quantity which is referred to as the growth factor, it is known that in general GEPP leads to modest element growth in practice. However its parallel version does not attain the communication lower bounds. Indeed the panel factorization rep resents a bottleneck in terms of communication. To overcome this communication bottleneck, Grigori et al [60] have developed a communication avoiding LU factorization (CALU), which is asymptotically optimal in terms of communication cost at the cost of some redundant computation. In theory, the upper bound of the growth factor is larger than that of Gaussian elimination with partial pivoting, however CALU is stable in practice. To improve the upper bound of the growth factor, we study a new pivoting strategy based on strong rank revealing QR factorization. Thus we develop a new block algorithm for the LU factorization. This algorithm has a smaller growth factor upper bound compared to Gaussian elimination with partial pivoting. The strong rank revealing pivoting is then combined with tournament pivoting strategy to produce a communication avoiding LU factorization that is more stable than CALU. For hierarchical systems, multiple levels of parallelism are available. However, none of the previously cited methods fully exploit these hierarchical systems. We propose and study two recursive algorithms based on the communication avoiding LU algorithm, which are more suitable for architectures with multiple levels of parallelism. For an accurate and realistic cost analysis of these hierarchical algo rithms, we introduce a hierarchical parallel performance model that takes into account processor and network hierarchies. This analysis enables us to accurately predict the performance of the hierarchical LU factorization on an exascale platform
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
This dissertation focuses on a widely used linear algebra kernel to solve linear systems, that is the LU decomposition. Usually, to perform such a computation one uses the Gaussian elimination with partial pivoting (GEPP). The backward stability of GEPP depends on a quantity which is referred to as the growth factor, it is known that in general GEPP leads to modest element growth in practice. However its parallel version does not attain the communication lower bounds. Indeed the panel factorization rep resents a bottleneck in terms of communication. To overcome this communication bottleneck, Grigori et al [60] have developed a communication avoiding LU factorization (CALU), which is asymptotically optimal in terms of communication cost at the cost of some redundant computation. In theory, the upper bound of the growth factor is larger than that of Gaussian elimination with partial pivoting, however CALU is stable in practice. To improve the upper bound of the growth factor, we study a new pivoting strategy based on strong rank revealing QR factorization. Thus we develop a new block algorithm for the LU factorization. This algorithm has a smaller growth factor upper bound compared to Gaussian elimination with partial pivoting. The strong rank revealing pivoting is then combined with tournament pivoting strategy to produce a communication avoiding LU factorization that is more stable than CALU. For hierarchical systems, multiple levels of parallelism are available. However, none of the previously cited methods fully exploit these hierarchical systems. We propose and study two recursive algorithms based on the communication avoiding LU algorithm, which are more suitable for architectures with multiple levels of parallelism. For an accurate and realistic cost analysis of these hierarchical algo rithms, we introduce a hierarchical parallel performance model that takes into account processor and network hierarchies. This analysis enables us to accurately predict the performance of the hierarchical LU factorization on an exascale platform
Stability of the partitioned inverse method for parallel solution sparse triangular systems by
Nicholas J Higham(
Book
)
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
Algorithms for Cholesky and QR factorizations and the semidefinite generalized eigenvalue by
Craig Lucas(
Book
)
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
A survey of condition number estimation for triangular matrices by
Nicholas J Higham(
Book
)
1 edition published in 1985 in English and held by 1 WorldCat member library worldwide
1 edition published in 1985 in English and held by 1 WorldCat member library worldwide
Structured linearizations for matrix polynomials by D. Steven Mackey(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
Topics in matrix computations: stability and efficiency of algorithms by Gareth Ian Hargreaves(
Book
)
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
Matrix condition numbers by
Nicholas J Higham(
Book
)
1 edition published in 1983 in English and held by 1 WorldCat member library worldwide
1 edition published in 1983 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Higham, Desmond J. 1964 Author
 Society for Industrial and Applied Mathematics
 International Linear Algebra Society Conference 1999 : Barcelona, Spain)
 University of Manchester School of Mathematics
 Universidad Politécnica de Catalunya
 Ecole doctorale Informatique de ParisSud
 Laboratoire de recherche en informatique (Orsay, Essonne)
 Roch, JeanLouis (19......; informaticien) Opponent
 Mackey, D. Steven (Don Steven) Author
 University of Waterloo Faculty of Mathematics
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