 | 2011 |
| 42 |  | Nicholas J. Higham,
Lijing Lin:
A Schur-Padé Algorithm for Fractional Powers of a Matrix.
SIAM J. Matrix Analysis Applications 32(3): 1056-1078 (2011) |
| 41 |  | Awad H. Al-Mohy,
Nicholas J. Higham:
Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators.
SIAM J. Scientific Computing 33(2): 488-511 (2011) |
| 2010 |
| 40 |  | Awad H. Al-Mohy,
Nicholas J. Higham:
The complex step approximation to the Fréchet derivative of a matrix function.
Numerical Algorithms 53(1): 133-148 (2010) |
| 39 |  | Nicholas J. Higham,
Christian Mehl,
Françoise Tisseur:
The Canonical Generalized Polar Decomposition.
SIAM J. Matrix Analysis Applications 31(4): 2163-2180 (2010) |
| 38 |  | Rüdiger Borsdorf,
Nicholas J. Higham,
Marcos Raydan:
Computing a Nearest Correlation Matrix with Factor Structure.
SIAM J. Matrix Analysis Applications 31(5): 2603-2622 (2010) |
| 2009 |
| 37 |  | Anne E. Trefethen,
Nicholas J. Higham,
Iain S. Duff,
Peter Coveney:
Developing a High-Performance Computing/Numerical Analysis Roadmap.
IJHPCA 23(4): 423-426 (2009) |
| 36 |  | Nicholas J. Higham,
D. Steven Mackey,
Françoise Tisseur:
Definite Matrix Polynomials and their Linearization by Definite Pencils.
SIAM J. Matrix Analysis Applications 31(2): 478-502 (2009) |
| 35 |  | Chun-Hua Guo,
Nicholas J. Higham,
Françoise Tisseur:
An Improved Arc Algorithm for Detecting Definite Hermitian Pairs.
SIAM J. Matrix Analysis Applications 31(3): 1131-1151 (2009) |
| 34 |  | Awad H. Al-Mohy,
Nicholas J. Higham:
A New Scaling and Squaring Algorithm for the Matrix Exponential.
SIAM J. Matrix Analysis Applications 31(3): 970-989 (2009) |
| 33 |  | Nicholas J. Higham:
The Scaling and Squaring Method for the Matrix Exponential Revisited.
SIAM Review 51(4): 747-764 (2009) |
| 2008 |
| 32 |  | Nicholas J. Higham:
Functions of matrices - theory and computation.
SIAM 2008: I-XX, 1-425 |
| 31 |  | Chun-Hua Guo,
Nicholas J. Higham,
Françoise Tisseur:
Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems.
SIAM J. Matrix Analysis Applications 30(4): 1593-1613 (2008) |
| 30 |  | Awad H. Al-Mohy,
Nicholas J. Higham:
Computing the Fréchet Derivative of the Matrix Exponential, with an Application to Condition Number Estimation.
SIAM J. Matrix Analysis Applications 30(4): 1639-1657 (2008) |
| 29 |  | Nicholas Hale,
Nicholas J. Higham,
Lloyd N. Trefethen:
Computing AAlpha, log(A), and Related Matrix Functions by Contour Integrals.
SIAM J. Numerical Analysis 46(5): 2505-2523 (2008) |
| 2007 |
| 28 |  | Chun-Hua Guo,
Nicholas J. Higham:
Iterative Solution of a Nonsymmetric Algebraic Riccati Equation.
SIAM J. Matrix Analysis Applications 29(2): 396-412 (2007) |
| 27 |  | Nicholas J. Higham,
Ren-Cang Li,
Françoise Tisseur:
Backward Error of Polynomial Eigenproblems Solved by Linearization.
SIAM J. Matrix Analysis Applications 29(4): 1218-1241 (2007) |
| 2006 |
| 26 |  | Sven Hammarling,
Nicholas J. Higham,
Craig Lucas:
LAPACK-Style Codes for Pivoted Cholesky and QR Updating.
PARA 2006: 137-146 |
| 25 |  | Chun-Hua Guo,
Nicholas J. Higham:
A Schur-Newton Method for the Matrix \lowercase{\boldmathp}th Root and its Inverse.
SIAM J. Matrix Analysis Applications 28(3): 788-804 (2006) |
| 24 |  | Nicholas J. Higham,
D. Steven Mackey,
Françoise Tisseur:
The Conditioning of Linearizations of Matrix Polynomials.
SIAM J. Matrix Analysis Applications 28(4): 1005-1028 (2006) |
| 23 |  | Nicholas J. Higham,
D. Steven Mackey,
Niloufer Mackey,
Françoise Tisseur:
Symmetric Linearizations for Matrix Polynomials.
SIAM J. Matrix Analysis Applications 29(1): 143-159 (2006) |
| 2005 |
| 22 |  | Desmond J. Higham,
Nicholas J. Higham:
Matlab guide (2. ed.).
SIAM 2005: I-XXIII, 1-382 |
| 21 |  | Dario Andrea Bini,
Nicholas J. Higham,
Beatrice Meini:
Algorithms for the matrix pth root.
Numerical Algorithms 39(4): 349-378 (2005) |
| 20 |  | Gareth I. Hargreaves,
Nicholas J. Higham:
Efficient algorithms for the matrix cosine and sine.
Numerical Algorithms 40(4): 383-400 (2005) |
| 19 |  | Nicholas J. Higham,
D. Steven Mackey,
Niloufer Mackey,
Françoise Tisseur:
Functions Preserving Matrix Groups and Iterations for the Matrix Square Root.
SIAM J. Matrix Analysis Applications 26(3): 849-877 (2005) |
| 18 |  | Nicholas J. Higham:
The Scaling and Squaring Method for the Matrix Exponential Revisited.
SIAM J. Matrix Analysis Applications 26(4): 1179-1193 (2005) |
| 2004 |
| 17 |  | Nicholas J. Higham,
D. Steven Mackey,
Niloufer Mackey,
Françoise Tisseur:
Computing the Polar Decomposition and the Matrix Sign Decomposition in Matrix Groups.
SIAM J. Matrix Analysis Applications 25(4): 1178-1192 (2004) |
| 2003 |
| 16 |  | Nicholas J. Higham,
Matthew I. Smith:
Computing the Matrix Cosine.
Numerical Algorithms 34(1): 13-26 (2003) |
| 15 |  | Adam W. Bojanczyk,
Nicholas J. Higham,
Harikrishna Patel:
Solving the Indefinite Least Squares Problem by Hyperbolic QR Factorization.
SIAM J. Matrix Analysis Applications 24(4): 914-931 (2003) |
| 14 |  | Philip I. Davies,
Nicholas J. Higham:
A Schur-Parlett Algorithm for Computing Matrix Functions.
SIAM J. Matrix Analysis Applications 25(2): 464-485 (2003) |
| 2002 |
| 13 |  | Nicholas J. Higham:
Accuracy and stability of numerical algorithms (2. ed.).
SIAM 2002: I-XXX, 1-680 |
| 2001 |
| 12 |  | Sheung Hun Cheng,
Nicholas J. Higham:
Parallel Implementation of a Block Algorithm for Matrix 1-Norm Estimation.
Euro-Par 2001: 568-577 |
| 2000 |
| 11 |  | Desmond J. Higham,
Nicholas J. Higham:
Matlab guide.
SIAM 2000: I-XXII, 1-283 |
| 1998 |
| 10 |  | Nicholas J. Higham:
Factorizing complex symmetric matrices with positive definite real and imaginary parts.
Math. Comput. 67(224): 1591-1599 (1998) |
| 1996 |
| 9 |  | Nicholas J. Higham:
Accuracy and stability of numerical algorithms.
SIAM 1996: I-XXVIII, 1-688 |
| 8 |  | Nicholas J. Higham:
Testing linear algebra software.
Quality of Numerical Software 1996: 109-124 |
| 1994 |
| 7 |  | Nicholas J. Higham,
Pythagoras Papadimitriou:
A Parallel Algorithm for Computing the Polar Decomposition.
Parallel Computing 20(8): 1161-1173 (1994) |
| 1993 |
| 6 |  | Nicholas J. Higham:
Handbook of writing for the mathematical sciences.
SIAM 1993: I-XII, 1-241 |
| 1992 |
| 5 |  | James Demmel,
Nicholas J. Higham:
Stability of block algorithms with fast level-3 BLAS.
ACM Trans. Math. Softw. 18(3): 274-291 (1992) |
| 1991 |
| 4 |  | Nicholas J. Higham:
Algorithm 694: a collection of test matrices in MATLAB.
ACM Trans. Math. Softw. 17(3): 289-305 (1991) |
| 1990 |
| 3 |  | Nicholas J. Higham:
Exploiting fast matrix multiplication within the level 3 BLAS.
ACM Trans. Math. Softw. 16(4): 352-368 (1990) |
| 1989 |
| 2 |  | Nicholas J. Higham:
Algorithm 674: Fortran codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation.
ACM Trans. Math. Softw. 15(2): 168 (1989) |
| 1988 |
| 1 |  | Nicholas J. Higham:
FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation.
ACM Trans. Math. Softw. 14(4): 381-396 (1988) |