Nicholas J. Higham

Generating author description...

All published works

Action	Title	Year	Authors
+	Symmetry decomposition and matrix multiplication	2025	Nicholas J. Higham Matthew C. Lettington Karl Michael Schmidt
+ PDF Chat	Computing accurate eigenvalues using a mixed-precision Jacobi algorithm	2025	Nicholas J. Higham Françoise Tisseur Marcus Webb Zicong Zhou
+ PDF Chat	The power of bidiagonal matrices	2024	Nicholas J. Higham
+ PDF Chat	Probabilistic Rounding Error Analysis of Householder QR Factorization	2023	Michael Connolly Nicholas J. Higham
+ PDF Chat	Computing the Square Root of a Low-Rank Perturbation of the Scaled Identity Matrix	2023	Massimiliano Fasi Nicholas J. Higham Xiaobo Liu
+ PDF Chat	Combining Sparse Approximate Factorizations with Mixed-precision Iterative Refinement	2023	Patrick Amestoy Alfredo Buttari Nicholas J. Higham Jean-Yves L’Excellent Théo Mary Bastien Vieublé
+	The Power of Bidiagonal Matrices	2023	Nicholas J. Higham
+	Peer Review #1 of "Performance impact of precision reduction in sparse linear systems solvers (v0.1)"	2022	Nicholas J. Higham Craig Lucas Françoise Tisseur Mawussi Zounon
+	Peer Review #1 of "Performance impact of precision reduction in sparse linear systems solvers (v0.2)"	2022	Nicholas J. Higham Craig Lucas Françoise Tisseur Mawussi Zounon
+	Integer matrix factorisations, superalgebras and the quadratic form obstruction	2021	Nicholas J. Higham Matthew C. Lettington Karl Michael Schmidt
+	Integer matrix factorisations, superalgebras and the quadratic form obstruction	2021	Nicholas J. Higham Matthew C. Lettington Karl Michael Schmidt
+	Peer Review #1 of "Numerical behavior of NVIDIA tensor cores (v0.2)"	2021	Massimiliano Fasi Nicholas J. Higham Mantas Mikaitis Srikara Pranesh
+ PDF Chat	Exploiting Lower Precision Arithmetic in Solving Symmetric Positive Definite Linear Systems and Least Squares Problems	2021	Nicholas J. Higham Srikara Pranesh
+ PDF Chat	Generating Extreme-Scale Matrices With Specified Singular Values or Condition Number	2021	Massimiliano Fasi Nicholas J. Higham
+	Random Matrices Generating Large Growth in LU Factorization with Pivoting	2021	Desmond J. Higham Nicholas J. Higham Srikara Pranesh
+	Matrices with Tunable Infinity-Norm Condition Number and No Need for Pivoting in LU Factorization	2021	Massimiliano Fasi Nicholas J. Higham
+	Integer matrix factorisations, superalgebras and the quadratic form obstruction	2021	Nicholas J. Higham Matthew C. Lettington Karl Michael Schmidt
+	Performance Evaluation of Mixed Precision Algorithms for Solving Sparse Linear Systems	2020	Mawussi Zounon Nicholas J. Higham Craig Lucas Françoise Tisseur
+	A Survey of Numerical Methods Utilizing Mixed Precision Arithmetic	2020	Ahmad Abdelfattah Hartwig Anzt Erik G. Boman Erin Carson Terry Cojean Jack Dongarra Mark Gates Thomas Grützmacher Nicholas J. Higham Xiaoye Sherry Li
+ PDF Chat	Accurately computing the log-sum-exp and softmax functions	2020	Pierre Blanchard Desmond J. Higham Nicholas J. Higham
+	A Catalogue of Software for Matrix Functions. Version 3.0	2020	Nicholas J. Higham Edvin Hopkins
+ PDF Chat	Numerical algorithms for high-performance computational science	2020	Jack Dongarra Laura Grigori Nicholas J. Higham
+	A Survey of Numerical Methods Utilizing Mixed Precision Arithmetic	2020	Ahmad Abdelfattah Hartwig Anzt Erik G. Boman Erin Carson Terry Cojean Jack Dongarra Mark Gates Thomas Gruetzmacher Nicholas J. Higham Xiaoye Sherry Li
+	A Survey of Numerical Methods Utilizing Mixed Precision Arithmetic	2020	Ahmad Abdelfattah Hartwig Anzt Erik G. Boman Erin Carson Terry Cojean Jack Dongarra Mark Gates Thomas Grützmacher Nicholas J. Higham Xiaoye Sherry Li
+ PDF Chat	An Arbitrary Precision Scaling and Squaring Algorithm for the Matrix Exponential	2019	Massimiliano Fasi Nicholas J. Higham
+ PDF Chat	Squeezing a Matrix into Half Precision, with an Application to Solving Linear Systems	2019	Nicholas J. Higham Srikara Pranesh Mawussi Zounon
+	Accurate Computation of the Log-Sum-Exp and Softmax Functions	2019	Pierre Blanchard Desmond J. Higham Nicholas J. Higham
+	Explicit solutions to correlation matrix completion problems, with an application to risk management and insurance	2018	D. Georgescu Nicholas J. Higham Gareth W. Peters
+	Etymo: A New Discovery Engine for AI Research	2018	Weijian Zhang Jonathan Deakin Nicholas J. Higham Shuaiqiang Wang
+	The Rise of Multiprecision Arithmetic	2017	Nicholas J. Higham
+ PDF Chat	Optimized Batched Linear Algebra for Modern Architectures	2017	Jack Dongarra Sven Hammarling Nicholas J. Higham Samuel D. Relton Mawussi Zounon
+ PDF Chat	Computing the Action of Trigonometric and Hyperbolic Matrix Functions	2017	Nicholas J. Higham Peter Kandolf
+ PDF Chat	Explicit Solutions to Correlation Matrix Completion Problems, with an Application to Risk Management and Insurance	2017	Dan Georgescu Nicholas J. Higham Gareth W. Peters
+	Chapter 22: Large Data Sets	2016	Desmond J. Higham Nicholas J. Higham
+ PDF Chat	Ranking the Importance of Nuclear Reactions for Activation and Transmutation Events	2016	W. Arter J.G. Morgan Samuel D. Relton Nicholas J. Higham
+	New Directions in Numerical Computation	2016	Tobin A. Driscoll Alex Townsend Jean‐Paul Berrut Bengt Fornberg Anne Greenbaum Nicholas J. Higham Randy LeVeque Ian H. Sloan
+ PDF Chat	An algorithm to compute the polar decomposition of a 3 × 3 matrix	2016	Nicholas J. Higham Vanni Noferini
+ PDF Chat	Testing Matrix Function Algorithms Using Identities	2016	Edvin Deadman Nicholas J. Higham
+	A Catalogue of Software for Matrix Functions. Version 2.0	2016	Nicholas J. Higham Edvin Deadman
+	Restoring Definiteness via Shrinking, with an Application to Correlation Matrices with a Fixed Block	2016	Nicholas J. Higham Nataša Strabić Vedran Šego
+ PDF Chat	Bounds for the Distance to the Nearest Correlation Matrix	2016	Nicholas J. Higham Nataša Strabić
+ PDF Chat	Matrix Inverse Trigonometric and Inverse Hyperbolic Functions: Theory and Algorithms	2016	Mary Aprahamian Nicholas J. Higham
+ PDF Chat	Anderson acceleration of the alternating projections method for computing the nearest correlation matrix	2015	Nicholas J. Higham Nataša Strabić
+ PDF Chat	Matching exponential-based and resolvent-based centrality measures	2015	Mary Aprahamian Desmond J. Higham Nicholas J. Higham
+	New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously	2015	Awad H. Al-Mohy Nicholas J. Higham Samuel D. Relton
+	Ranking the importance of nuclear reactions for activation and transmutation events	2015	W. Arter J. Guy Morgan Samuel D. Relton Nicholas J. Higham
+	Sylvester's Influence on Applied Mathematics	2014	Nicholas J. Higham
+	Higher Order Fréchet Derivatives of Matrix Functions and the Level-2 Condition Number	2014	Nicholas J. Higham Samuel D. Relton
+	The Matrix Unwinding Function, with an Application to Computing the Matrix Exponential	2014	Mary Aprahamian Nicholas J. Higham
+	Estimating the Condition Number of the Fréchet Derivative of a Matrix Function	2014	Nicholas J. Higham Samuel D. Relton
+	Sylvester's Inuence on Applied Mathematics	2014	Nicholas J. Higham Mims EPrint
+	Numerical conditioning	2013	Nicholas J. Higham
+ PDF Chat	Performance analysis of asynchronous Jacobi’s method implemented in MPI, SHMEM and OpenMP	2013	Iain Bethune J. Mark Bull Nicholas J. Dingle Nicholas J. Higham
+ PDF Chat	Reducing the influence of tiny normwise relative errors on performance profiles	2013	Nicholas J. Dingle Nicholas J. Higham
+	NLEVP	2013	Timo Betcke Nicholas J. Higham Volker Mehrmann Christian Schröder Françoise Tisseur
+ PDF Chat	An Improved Schur--Padé Algorithm for Fractional Powers of a Matrix and Their Fréchet Derivatives	2013	Nicholas J. Higham Lijing Lin
+ PDF Chat	Stable and Efficient Spectral Divide and Conquer Algorithms for the Symmetric Eigenvalue Decomposition and the SVD	2013	Yuji Nakatsukasa Nicholas J. Higham
+ PDF Chat	Blocked Schur Algorithms for Computing the Matrix Square Root	2013	Edvin Deadman Nicholas J. Higham Rui Ralha
+ PDF Chat	Computing the Fréchet Derivative of the Matrix Logarithm and Estimating the Condition Number	2013	Awad H. Al-Mohy Nicholas J. Higham Samuel D. Relton
+	The Test Matrix Toolbox for Matlab (Version 3.0)	2013	Nicholas J. Higham Nicholas J. Higham
+	A Recursive Blocked Schur Algorithm for Computing the Matrix Square Root	2012	Edvin Deadman Nicholas J. Higham Rui Ralha
+ PDF Chat	Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm	2012	Awad H. Al-Mohy Nicholas J. Higham
+ PDF Chat	Backward Stability of Iterations for Computing the Polar Decomposition	2012	Yuji Nakatsukasa Nicholas J. Higham
+	NLEVP: A Collection of Nonlinear Eigenvalue Problems. Users' Guide	2011	Timo Betcke Nicholas J. Higham Volker Mehrmann Christian Schröder Françoise Tisseur
+	Investigating the Performance of Asynchronous Jacobi's Method for Solving Systems of Linear Equations	2011	Iain Bethune J. Mark Bull Nicholas J. Dingle Nicholas J. Higham
+ PDF Chat	A Schur–Padé Algorithm for Fractional Powers of a Matrix	2011	Nicholas J. Higham Lijing Lin
+ PDF Chat	Numerical methods for ordinary differential equations: initial value problems	2011	David F. Griffiths Nicholas J. Higham
+ PDF Chat	Gaussian elimination	2011	Nicholas J. Higham
+ PDF Chat	Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators	2011	Awad H. Al-Mohy Nicholas J. Higham
+ PDF Chat	Computing matrix functions	2010	Nicholas J. Higham Awad H. Al-Mohy
+ PDF Chat	A framework for analyzing nonlinear eigenproblems and parametrized linear systems	2010	Laurence Grammont Nicholas J. Higham Françoise Tisseur
+	First and second moment reversion for a discretized square root process with jumps	2010	Graeme D. Chalmers Nicholas J. Higham
+	Stability of Householder QR Factorization for Weighted Least Squares Problems	2010	Anthony J. Cox Nicholas J. Higham
+ PDF Chat	The Canonical Generalized Polar Decomposition	2010	Nicholas J. Higham Christian Mehl Françoise Tisseur
+ PDF Chat	Computing a Nearest Correlation Matrix with Factor Structure	2010	Rüdiger Borsdorf Nicholas J. Higham Marcos Raydan
+ PDF Chat	The Scaling and Squaring Method for the Matrix Exponential Revisited	2009	Nicholas J. Higham
+ PDF Chat	An Improved Arc Algorithm for Detecting Definite Hermitian Pairs	2009	Chun‐Hua Guo Nicholas J. Higham Françoise Tisseur
+ PDF Chat	The complex step approximation to the Fréchet derivative of a matrix function	2009	Awad H. Al-Mohy Nicholas J. Higham
+	Cholesky factorization	2009	Nicholas J. Higham
+ PDF Chat	A preconditioned Newton algorithm for the nearest correlation matrix	2009	Rüdiger Borsdorf Nicholas J. Higham
+ PDF Chat	Computing the Fréchet Derivative of the Matrix Exponential, with an Application to Condition Number Estimation	2009	Awad H. Al-Mohy Nicholas J. Higham
+ PDF Chat	Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems	2009	Chun‐Hua Guo Nicholas J. Higham Françoise Tisseur
+ PDF Chat	Definite Matrix Polynomials and their Linearization by Definite Pencils	2009	Nicholas J. Higham D. Steven Mackey Françoise Tisseur
+	An Interview with Gene Golub	2008	Nicholas J. Higham
+	Functions of matrices	2008	Nicholas J. Higham
+ PDF Chat	Computing $A^\alpha, \log(A)$, and Related Matrix Functions by Contour Integrals	2008	Nicholas Hale Nicholas J. Higham Lloyd N. Trefethen
+	Ralph, the Matrix Sign Function, and the Polar Decomposition	2008	Nicholas J. Higham
+	12. Matrix Cosine and Sine	2008	Nicholas J. Higham
+	8. The Polar Decomposition	2008	Nicholas J. Higham
+ PDF Chat	Backward Error of Polynomial Eigenproblems Solved by Linearization	2007	Nicholas J. Higham Ren‐Cang Li Françoise Tisseur
+ PDF Chat	Cayley, Sylvester, and Early Matrix Theory	2007	Nicholas J. Higham
+	Notes on Hyperbolic Matrix Polynomials and Definite Linearizations	2007	Nicholas J. Higham D. Steven Mackey Françoise Tisseur
+ PDF Chat	Scaling, sensitivity and stability in the numerical solution of quadratic eigenvalue problems	2007	Nicholas J. Higham D. Steven Mackey Françoise Tisseur Seamus D. Garvey
+ PDF Chat	Iterative Solution of a Nonsymmetric Algebraic Riccati Equation	2007	Chun‐Hua Guo Nicholas J. Higham
+	Commentary on Matrix Factorizations and Applications	2007	Nicholas J. Higham Raymond H. Chan Chen Greif Dianne P. O’Leary
+ PDF Chat	Symmetric Linearizations for Matrix Polynomials	2006	Nicholas J. Higham D. Steven Mackey Niloufer Mackey Françoise Tisseur
+	Inverse Eigenvalue Problems: Theory, Algorithms, and Applications . By M OODY T. C HU & G ENE H. G OLUB . Oxford University Press, 2005. 387 pp. ISBN 0-19-856664-6. £60.00	2006	Nicholas J. Higham
+	Parallel Singular Value Decomposition via the Polar Decomposition	2006	Nicholas J. Higham Nicholas J. Higham Pythagoras Papadimitriou
+	A Schur–Newton Method for the Matrix \lowercase{\boldmath<i>p</i>}th Root and its Inverse	2006	Chun‐Hua Guo Nicholas J. Higham
+ PDF Chat	The Conditioning of Linearizations of Matrix Polynomials	2006	Nicholas J. Higham D. Steven Mackey Françoise Tisseur
+	Solving the Polynomial Eigenvalue Problem by Linearization	2006	Nicholas J. Higham
+	Can You Count on Your Correlation Matrix	2006	Nicholas J. Higham
+	Functions of a Matrix: Theory and Computation	2006	Nicholas J. Higham
+	Computing f(A)b for Matrix Functions f	2005	Philip I. Davies Nicholas J. Higham
+ PDF Chat	Efficient algorithms for the matrix cosine and sine	2005	Gareth I. Hargreaves Nicholas J. Higham
+	Algorithms for the matrix pth root	2005	Dario A. Bini Nicholas J. Higham Beatrice Meini
+ PDF Chat	Functions Preserving Matrix Groups and Iterations for the Matrix Square Root	2005	Nicholas J. Higham D. Steven Mackey Niloufer Mackey Françoise Tisseur
+ PDF Chat	The Scaling and Squaring Method for the Matrix Exponential Revisited	2005	Nicholas J. Higham
+ PDF Chat	Computing the Polar Decomposition and the Matrix Sign Decomposition in Matrix Groups	2004	Nicholas J. Higham D. Steven Mackey Niloufer Mackey Françoise Tisseur
+	The Equality Constrained Indefinite Least Squares Problem: Theory and Algorithms	2003	Adam W. Bojańczyk Nicholas J. Higham Harikrishna Patel
+	None	2003	Nicholas J. Higham Matthew I. Smith
+ PDF Chat	<i>J</i>-Orthogonal Matrices: Properties and Generation	2003	Nicholas J. Higham
+ PDF Chat	Solving the Indefinite Least Squares Problem by Hyperbolic QR Factorization	2003	Adam W. Bojańczyk Nicholas J. Higham Harikrishna Patel
+ PDF Chat	A Schur-Parlett Algorithm for Computing Matrix Functions	2003	Philip I. Davies Nicholas J. Higham
+	Bounds for eigenvalues of matrix polynomials	2002	Nicholas J. Higham Françoise Tisseur
+	More on pseudospectra for polynomial eigenvalue problems and applications in control theory	2002	Nicholas J. Higham Françoise Tisseur
+ PDF Chat	Computing the nearest correlation matrix--a problem from finance	2002	Nicholas J. Higham
+	Bibliography of Handbook of Writing for the Mathematical Sciences, Second Edition, SIAM, 1998	2002	Nicholas J. Higham
+	25. Nonlinear Systems and Newton's Method	2002	Nicholas J. Higham
+	11. Symmetric Indefinite and Skew-Symmetric Systems	2002	Nicholas J. Higham
+	20. The Least Squares Problem	2002	Nicholas J. Higham
+	Appendix A: Solutions to Problems	2002	Nicholas J. Higham
+ PDF Chat	Solving a Quadratic Matrix Equation by Newton's Method with Exact Line Searches	2001	Nicholas J. Higham Hyun‐Min Kim
+ PDF Chat	Structured Pseudospectra for Polynomial Eigenvalue Problems, with Applications	2001	Françoise Tisseur Nicholas J. Higham
+	Evaluating Padé Approximants of the Matrix Logarithm	2001	Nicholas J. Higham
+ PDF Chat	Analysis of the Cholesky Method with Iterative Refinement for Solving the Symmetric Definite Generalized Eigenproblem	2001	Philip I. Davies Nicholas J. Higham Françoise Tisseur
+	Numerical analysis of a quadratic matrix equation	2000	Nicholas J. Higham
+	QR factorization with complete pivoting and accurate computation of the SVD	2000	Nicholas J. Higham
+	Mean-Square and Asymptotic Stability of the Stochastic Theta Method	2000	Nicholas J. Higham
+ PDF Chat	A Block Algorithm for Matrix 1-Norm Estimation, with an Application to 1-Norm Pseudospectra	2000	Nicholas J. Higham Françoise Tisseur
+	None	2000	Philip I. Davies Nicholas J. Higham
+	Return to the Middle Ages: A Half-Angle Iteration for the Logarithm of a Unitary Matrix	2000	Sheung Hun Cheng Nicholas J. Higham Charles Kenney Alan J. Laub
+	The nearest definite pair for the Hermitian generalized eigenvalue problem	1999	Sheung Hun Cheng Nicholas J. Higham
+	Notes on Accuracy and Stability of Algorithms in Numerical Linear Algebra	1999	Nicholas J. Higham
+	None	1999	Anthony J. Cox Nicholas J. Higham
+ PDF Chat	Row-Wise Backward Stable Elimination Methods for the Equality Constrained Least Squares Problem	1999	Anthony J. Cox Nicholas J. Higham
+	None	1999	Anthony J. Cox Nicholas J. Higham
+	Stability of block LDLT factorization of a symmetric tridiagonal matrix	1999	Nicholas J. Higham
+ PDF Chat	A Modified Cholesky Algorithm Based on a Symmetric Indefinite Factorization	1998	Sheung Hun Cheng Nicholas J. Higham
+	Modifying the inertia of matrices arising in optimization	1998	Nicholas J. Higham Sheung Hun Cheng
+	Analysis of the dynamics of local error control via a piecewise continuous residual	1998	Nicholas J. Higham Andrew M. Stuart
+ PDF Chat	Structured Backward Error and Condition of Generalized Eigenvalue Problems	1998	Desmond J. Higham Nicholas J. Higham
+ PDF Chat	Factorizing complex symmetric matrices with positive definite real and imaginary parts	1998	Nicholas J. Higham
+	3. Mathematical Writing	1998	Nicholas J. Higham
+	Appendix E: Winners of Prizes for Expository Writing	1998	Nicholas J. Higham
+	Dynamics of constant and variable stepsize methods for a nonlinear population model with delay	1997	Tasneem K. Sardar Nicholas J. Higham
+ PDF Chat	Recent Developments in Dense Numerical Linear Algebra	1997	Nicholas J. Higham
+	None	1997	Nicholas J. Higham
+ PDF Chat	Stability of the Diagonal Pivoting Method with Partial Pivoting	1997	Nicholas J. Higham
+ PDF Chat	Computing the field of values and pseudospectra using the Lanczos method with continuation	1996	Thierry Braconnier Nicholas J. Higham
+	FIXED POINTS AND SPURIOUS MODES OF A NONLINEAR INFINITE-STEP MAP	1996	Mark A. Aves Penny J. Davies Nicholas J. Higham
+	Nonnormality Effects in a Discretised Nonlinear Reaction-Convection–Diffusion Equation	1996	Nicholas J. Higham Brynjulf Owren
+ PDF Chat	Matrix Powers in Finite Precision Arithmetic	1995	Nicholas J. Higham Philip A. Knight
+ PDF Chat	Stability of block <i>LU</i> factorization	1995	James Demmel Nicholas J. Higham Robert Schreiber
+ PDF Chat	Stability of Parallel Triangular System Solvers	1995	Nicholas J. Higham
+	Condition numbers and their condition numbers	1995	Nicholas J. Higham
+	The matrix sign decomposition and its relation to the polar decomposition	1994	Nicholas J. Higham
+	A survey of componentwise perturbation theory in numerical linear algebra	1994	Nicholas J. Higham
+ PDF Chat	Stability of the Partitioned Inverse Method for Parallel Solution of Sparse Triangular Systems	1994	Nicholas J. Higham Alex Pothen
+	A Survey of Componentwise Perturbation Theory	1994	Nicholas J. Higham
+	Finite precision behavior of stationary iteration for solving singular systems	1993	Nicholas J. Higham Philip A. Knight
+	Stiffness of ODEs	1993	Nicholas J. Higham Lloyd N. Trefethen
+	The tolerance proportionality of adaptive ODE solvers	1993	Nicholas J. Higham
+	Componentwise Error Analysis for Stationary Iterative Methods	1993	Nicholas J. Higham Philip A. Knight
+ PDF Chat	Improved Error Bounds for Underdetermined System Solvers	1993	James Demmel Nicholas J. Higham
+	Perturbation Theory and Backward Error for AX - XB = C	1993	Nicholas J. Higham
+	The structured sensitivity of Vandermonde-like systems	1992	Sven G. Bartels Nicholas J. Higham
+	Estimating the matrixp-norm	1992	Nicholas J. Higham
+	Componentwise perturbation theory for linear systems with multiple right-hand sides	1992	Nicholas J. Higham Nicholas J. Higham
+	Componentwise perturbation theory for linear systems with multiple right-hand sides	1992	Nicholas J. Higham
+	Block LU factorization	1992	James Demmel Nicholas J. Higham Robert Schreiber
+ PDF Chat	Backward Error and Condition of Structured Linear Systems	1992	Desmond J. Higham Nicholas J. Higham
+ PDF Chat	Algorithm 694	1991	Nicholas J. Higham
+	Iterative refinement enhances the stability ofQR factorization methods for solving linear equations	1991	Nicholas J. Higham
+	Algorithm 694 A Collection of Test	1991	Nicholas J. Higham
+	Matrix computations	1990	Nicholas J. Higham
+	Bounding the Error in Gaussian Eimination for Tridiagonal Systems	1990	Nicholas J. Higham
+ PDF Chat	Analysis of the Cholesky decomposition of a semi-definite matrix	1990	Nicholas J. Higham
+ PDF Chat	Experience with a Matrix Norm Estimator	1990	Nicholas J. Higham
+ PDF Chat	Stability Analysis of Algorithms for Solving Confluent Vandermonde-Like Systems	1990	Nicholas J. Higham
+	Fast Polar Decomposition of an Arbitrary Matrix.	1990	Nicholas J. Higham Robert Schreiber
+	Experience with a Matrix Norm Estimator.	1990	Nicholas J. Higham
+	Computing error bounds for regression problems	1990	Nicholas J. Higham
+ PDF Chat	The Accuracy of Solutions to Triangular Systems	1989	Nicholas J. Higham
+	A Collection of Test Matrices in MATLAB	1989	Nicholas J. Higham
+	How Accurate is Gaussian Elimination	1989	Nicholas J. Higham
+ PDF Chat	Large Growth Factors in Gaussian Elimination with Pivoting	1989	Nicholas J. Higham Desmond J. Higham
+	MATRIX NEARNESS PROBLEMS AND APPLICATIONS	1989	Nicholas J. Higham
+	Computing a nearest symmetric positive semidefinite matrix	1988	Nicholas J. Higham
+	Fast Solution of Vandermonde-Like Systems Involving Orthogonal Polynomials	1988	Nicholas J. Higham
+	Fast Solution of Yandermonde-L ike Systems Involving Orthogonal Polynomials	1988	Nicholas J. Higham
+ PDF Chat	A Survey of Condition Number Estimation for Triangular Matrices	1987	Nicholas J. Higham
+	Computing real square roots of a real matrix	1987	Nicholas J. Higham
+	Error analysis of the Bj�rck-Pereyra algorithms for solving Vandermonde systems	1987	Nicholas J. Higham
+	Numerical Linear Algebra in Statistical Computing	1987	Nicholas J. Higham G. W. Stewart
+	Newton's Method for the Matrix Square Root	1986	Nicholas J. Higham
+ PDF Chat	Newton’s method for the matrix square root	1986	Nicholas J. Higham
+	Nearness Problems in Numerical Linear Algebra	1985	Nicholas J. Higham

Common Coauthors

Coauthor	Papers Together
Françoise Tisseur	23
Desmond J. Higham	8
Awad H. Al-Mohy	7
D. Steven Mackey	7
Samuel D. Relton	7
Jack Dongarra	5
Mawussi Zounon	5
Massimiliano Fasi	5
Anthony J. Cox	4
Philip I. Davies	4
Sheung Hun Cheng	4
Srikara Pranesh	4
Karl Michael Schmidt	4
Edvin Deadman	4
Chun‐Hua Guo	4
Matthew C. Lettington	4
Ahmad Abdelfattah	3
Mary Aprahamian	3
Piotr Łuszczek	3
Nataša Strabić	3
Neil Lindquist	3
Siva Rajamanickam	3
Terry Cojean	3
Mark Gates	3
Hartwig Anzt	3
Urike Meier Yang	3
Tobias Ribizel	3
Pratik Nayak	3
Erin Carson	3
James Demmel	3
Stephen Thomas	3
Jennifer Loe	3
Nicholas J. Dingle	3
Ichitaro Yamazaki	3
Stanimire Tomov	3
Niloufer Mackey	3
Philip A. Knight	3
Yaohung M. Tsai	3
Craig Lucas	3
Xiaoye Sherry Li	3
Robert Schreiber	3
Erik G. Boman	3
Kasia Świrydowicz	3
Barry R. Smith	3
Sri Pranesh	3
Iain Bethune	2
Christian Schröder	2
Lloyd N. Trefethen	2
Timo Betcke	2
Pierre Blanchard	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Computing real square roots of a real matrix	1987	Nicholas J. Higham	20
+ PDF Chat	A Block Algorithm for Matrix 1-Norm Estimation, with an Application to 1-Norm Pseudospectra	2000	Nicholas J. Higham Françoise Tisseur	20
+	Condition Estimates for Matrix Functions	1989	Charles Kenney Alan J. Laub	20
+	Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides	1964	W. Oettli William Prager	19
+	A Schur method for the square root of a matrix	1983	Åke Björck Sven Hammarling	19
+	Solving Sparse Linear Systems with Sparse Backward Error	1989	M. Arioli James Demmel Iain Duff	17
+	The Symmetric Eigenvalue Problem	1998	Beresford Ν. Parlett	16
+ PDF Chat	On the Compatibility of a Given Solution With the Data of a Linear System	1967	J. L. Rigal J. Gaches	15
+	The matrix sign function and computations in systems	1976	Eugene D. Denman Alex N. Beavers	14
+ PDF Chat	A Schur-Parlett Algorithm for Computing Matrix Functions	2003	Philip I. Davies Nicholas J. Higham	13
+	Computing a nearest symmetric positive semidefinite matrix	1988	Nicholas J. Higham	13
+ PDF Chat	Computing the Fréchet Derivative of the Matrix Logarithm and Estimating the Condition Number	2013	Awad H. Al-Mohy Nicholas J. Higham Samuel D. Relton	12
+	Nineteen Dubious Ways to Compute the Exponential of a Matrix	1978	C Moler Charles Van Loan	11
+ PDF Chat	The Scaling and Squaring Method for the Matrix Exponential Revisited	2005	Nicholas J. Higham	11
+ PDF Chat	Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later	2003	C Moler Charles Van Loan	11
+	On the Number of Nonscalar Multiplications Necessary to Evaluate Polynomials	1973	Michael S. Paterson Larry J. Stockmeyer	10
+ PDF Chat	Computing the Fréchet Derivative of the Matrix Exponential, with an Application to Condition Number Estimation	2009	Awad H. Al-Mohy Nicholas J. Higham	10
+ PDF Chat	A Schur–Padé Algorithm for Fractional Powers of a Matrix	2011	Nicholas J. Higham Lijing Lin	10
+	The Efficient Generation of Random Orthogonal Matrices with an Application to Condition Estimators	1980	G. W. Stewart	10
+	Numerical Computation of the Matrix Exponential with Accuracy Estimate	1977	Robert C. Ward	10
+ PDF Chat	Algorithm 694	1991	Nicholas J. Higham	10
+ PDF Chat	The Quadratic Eigenvalue Problem	2001	Françoise Tisseur Karl Meerbergen	10
+ PDF Chat	Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm	2012	Awad H. Al-Mohy Nicholas J. Higham	9
+	The matrix sign decomposition and its relation to the polar decomposition	1994	Nicholas J. Higham	9
+ PDF Chat	The Scaling and Squaring Method for the Matrix Exponential Revisited	2009	Nicholas J. Higham	9
+ PDF Chat	The Accuracy of Solutions to Triangular Systems	1989	Nicholas J. Higham	9
+	Computational Techniques for Real Logarithms of Matrices	1996	Luca Dieci Benedetta Morini Alessandra Papini	9
+	Evaluating Padé Approximants of the Matrix Logarithm	2001	Nicholas J. Higham	9
+	The Strong Stability of Algorithms for Solving Symmetric Linear Systems	1989	James R. Bunch W. James Demmel Charles F. Van Loan	9
+	A Schur–Newton Method for the Matrix \lowercase{\boldmath<i>p</i>}th Root and its Inverse	2006	Chun‐Hua Guo Nicholas J. Higham	9
+	Solving Least Squares Problems	1995	C. L. Lawson Richard Hanson	9
+	On Scaling Newton’s Method for Polar Decomposition and the Matrix Sign Function	1992	Charles Kenney Alan J. Laub	8
+ PDF Chat	Squeezing a Matrix into Half Precision, with an Application to Solving Linear Systems	2019	Nicholas J. Higham Srikara Pranesh Mawussi Zounon	8
+ PDF Chat	Benchmarking optimization software with performance profiles	2002	Elizabeth D. Dolan Jorge J. Morè	8
+ PDF Chat	Experience with a Matrix Norm Estimator	1990	Nicholas J. Higham	8
+ PDF Chat	Some metric inequalities in the space of matrices	1955	Ky Fan Alan J. Hoffman	8
+ PDF Chat	Large Growth Factors in Gaussian Elimination with Pivoting	1989	Nicholas J. Higham Desmond J. Higham	8
+	Average-Case Stability of Gaussian Elimination	1990	Lloyd N. Trefethen Robert Schreiber	8
+ PDF Chat	Backward Error and Condition of Structured Linear Systems	1992	Desmond J. Higham Nicholas J. Higham	8
+	Padé error estimates for the logarithm of a matrix	1989	Charles Kenney Alan J. Laub	8
+	A Quadratically Convergent Newton Method for Computing the Nearest Correlation Matrix	2006	Hou-Duo Qi Defeng Sun	8
+	Newton's Method for the Matrix Square Root	1986	Nicholas J. Higham	8
+	A Schur Algorithm for Computing Matrix <i>p</i>th Roots	2003	Matthew I. Smith	8
+ PDF Chat	An Improved Schur--Padé Algorithm for Fractional Powers of a Matrix and Their Fréchet Derivatives	2013	Nicholas J. Higham Lijing Lin	8
+	Backward error and condition of polynomial eigenvalue problems	2000	Françoise Tisseur	8
+ PDF Chat	The Conditioning of Linearizations of Matrix Polynomials	2006	Nicholas J. Higham D. Steven Mackey Françoise Tisseur	7
+ PDF Chat	Functions Preserving Matrix Groups and Iterations for the Matrix Square Root	2005	Nicholas J. Higham D. Steven Mackey Niloufer Mackey Françoise Tisseur	7
+ PDF Chat	Solution of Vandermonde systems of equations	1970	Åke Björck Víctor Pereyra	7
+	Rational Iterative Methods for the Matrix Sign Function	1991	Charles Kenney Alan J. Laub	7
+ PDF Chat	Computing the nearest correlation matrix--a problem from finance	2002	Nicholas J. Higham	7