Nicholas J. Higham

ACM Trans. Math. Softw., 2016

Estimating the Largest Elements of a Matrix.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2016

Restoring Definiteness via Shrinking, with an Application to Correlation Matrices with a Fixed Block.

[BibT_eX]

[DOI]

Natasa Strabic

Vedran Sego

SIAM Rev., 2016

Bounds for the Distance to the Nearest Correlation Matrix.

[BibT_eX]

[DOI]

Natasa Strabic

SIAM J. Matrix Anal. Appl., 2016

Matrix Inverse Trigonometric and Inverse Hyperbolic Functions: Theory and Algorithms.

[BibT_eX]

[DOI]

Mary Aprahamian

SIAM J. Matrix Anal. Appl., 2016

Matrix Depot: an extensible test matrix collection for Julia.

[BibT_eX]

[DOI]

Weijian Zhang

PeerJ Comput. Sci., 2016

Anderson acceleration of the alternating projections method for computing the nearest correlation matrix.

[BibT_eX]

[DOI]

Natasa Strabic

Numer. Algorithms, 2016

An algorithm to compute the polar decomposition of a 3 × 3 matrix.

[BibT_eX]

[DOI]

Vanni Noferini

Numer. Algorithms, 2016

Matching exponential-based and resolvent-based centrality measures.

[BibT_eX]

[DOI]

Mary Aprahamian

J. Complex Networks, 2016

2015

New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2015

An Algorithm for the Matrix Lambert W Function.

[BibT_eX]

[DOI]

Massimiliano Fasi

Bruno Iannazzo

SIAM J. Matrix Anal. Appl., 2015

2014

Estimating the Condition Number of the Fréchet Derivative of a Matrix Function.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2014

Higher Order Fréchet Derivatives of Matrix Functions and the Level-2 Condition Number.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2014

The Matrix Unwinding Function, with an Application to Computing the Matrix Exponential.

[BibT_eX]

[DOI]

Mary Aprahamian

SIAM J. Matrix Anal. Appl., 2014

Performance analysis of asynchronous Jacobi's method implemented in MPI, SHMEM and OpenMP.

[BibT_eX]

[DOI]

Int. J. High Perform. Comput. Appl., 2014

Covariance structure regularization via entropy loss function.

[BibT_eX]

[DOI]

Lijing Lin

Jianxin Pan

Comput. Stat. Data Anal., 2014

2013

Reducing the influence of tiny normwise relative errors on performance profiles.

[BibT_eX]

[DOI]

Nicholas J. Dingle

ACM Trans. Math. Softw., 2013

NLEVP: A Collection of Nonlinear Eigenvalue Problems.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2013

Stable and Efficient Spectral Divide and Conquer Algorithms for the Symmetric Eigenvalue Decomposition and the SVD.

[BibT_eX]

[DOI]

Yuji Nakatsukasa

SIAM J. Sci. Comput., 2013

Computing the Fréchet Derivative of the Matrix Logarithm and Estimating the Condition Number.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2013

An Improved Schur-Padé Algorithm for Fractional Powers of a Matrix and Their Fréchet Derivatives.

[BibT_eX]

[DOI]

Lijing Lin

SIAM J. Matrix Anal. Appl., 2013

2012

Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2012

Backward Stability of Iterations for Computing the Polar Decomposition.

[BibT_eX]

[DOI]

Yuji Nakatsukasa

SIAM J. Matrix Anal. Appl., 2012

Blocked Schur Algorithms for Computing the Matrix Square Root.

[BibT_eX]

[DOI]

Edvin Deadman

Rui Ralha

Proceedings of the Applied Parallel and Scientific Computing, 2012

2011

Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2011

A Schur-Padé Algorithm for Fractional Powers of a Matrix.

[BibT_eX]

[DOI]

Lijing Lin

SIAM J. Matrix Anal. Appl., 2011

2010

The Canonical Generalized Polar Decomposition.

[BibT_eX]

[DOI]

Christian Mehl

SIAM J. Matrix Anal. Appl., 2010

Computing a Nearest Correlation Matrix with Factor Structure.

[BibT_eX]

[DOI]

Rüdiger Borsdorf

Marcos Raydan

SIAM J. Matrix Anal. Appl., 2010

The complex step approximation to the Fréchet derivative of a matrix function.

[BibT_eX]

[DOI]

Numer. Algorithms, 2010

Computing matrix functions.

[BibT_eX]

[DOI]

Acta Numer., 2010

2009

Definite Matrix Polynomials and their Linearization by Definite Pencils.

[BibT_eX]

[DOI]

D. Steven Mackey

SIAM J. Matrix Anal. Appl., 2009

An Improved Arc Algorithm for Detecting Definite Hermitian Pairs.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2009

A New Scaling and Squaring Algorithm for the Matrix Exponential.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2009

Developing a High-Performance Computing/Numerical Analysis Roadmap.

[BibT_eX]

[DOI]

Int. J. High Perform. Comput. Appl., 2009

2008

Computing AAlpha, log(A), and Related Matrix Functions by Contour Integrals.

[BibT_eX]

[DOI]

Nicholas Hale

Lloyd N. Trefethen

SIAM J. Numer. Anal., 2008

Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2008

Computing the Fréchet Derivative of the Matrix Exponential, with an Application to Condition Number Estimation.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2008

Functions of matrices - theory and computation.

[BibT_eX]

[DOI]

SIAM, ISBN: 978-0-89871-646-7, 2008

2007

Backward Error of Polynomial Eigenproblems Solved by Linearization.

[BibT_eX]

[DOI]

Ren-Cang Li

SIAM J. Matrix Anal. Appl., 2007

Iterative Solution of a Nonsymmetric Algebraic Riccati Equation.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2007

Commentary.

[BibT_eX]

Proceedings of the Milestones in Matrix Computation, 2007

2006

The Conditioning of Linearizations of Matrix Polynomials.

[BibT_eX]

[DOI]

D. Steven Mackey

SIAM J. Matrix Anal. Appl., 2006

Symmetric Linearizations for Matrix Polynomials.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2006

A Schur-Newton Method for the Matrix \lowercase{\boldmathp}th Root and its Inverse.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2006

LAPACK-Style Codes for Pivoted Cholesky and QR Updating.

[BibT_eX]

[DOI]

Sven Hammarling

Craig Lucas

Proceedings of the Applied Parallel Computing. State of the Art in Scientific Computing, 2006

2005

Functions Preserving Matrix Groups and Iterations for the Matrix Square Root.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2005

The Scaling and Squaring Method for the Matrix Exponential Revisited.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2005

Efficient algorithms for the matrix cosine and sine.

[BibT_eX]

[DOI]

Gareth I. Hargreaves

Numer. Algorithms, 2005

Algorithms for the matrix pth root.

[BibT_eX]

[DOI]

Dario Andrea Bini

Beatrice Meini

Numer. Algorithms, 2005

Matlab guide, Second Edition.

[BibT_eX]

SIAM, ISBN: 978-0-89871-578-1, 2005

2004

Computing the Polar Decomposition and the Matrix Sign Decomposition in Matrix Groups.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2004

2003

J-Orthogonal Matrices: Properties and Generation.

[BibT_eX]

[DOI]

SIAM Rev., 2003

A Schur-Parlett Algorithm for Computing Matrix Functions.

[BibT_eX]

[DOI]

Philip I. Davies

SIAM J. Matrix Anal. Appl., 2003

Solving the Indefinite Least Squares Problem by Hyperbolic QR Factorization.

[BibT_eX]

[DOI]

Adam W. Bojanczyk

Harikrishna Patel

SIAM J. Matrix Anal. Appl., 2003

Computing the Matrix Cosine.

[BibT_eX]

[DOI]

Matthew I. Smith

Numer. Algorithms, 2003

2002

Accuracy and stability of numerical algorithms, Second Edition.

[BibT_eX]

[DOI]

SIAM, ISBN: 978-0-89871-802-7, 2002

2001

Structured Pseudospectra for Polynomial Eigenvalue Problems, with Applications.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2001

Solving a Quadratic Matrix Equation by Newton's Method with Exact Line Searches.

[BibT_eX]

[DOI]

Hyun-Min Kim

SIAM J. Matrix Anal. Appl., 2001

Evaluating Padé Approximants of the Matrix Logarithm.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2001

Analysis of the Cholesky Method with Iterative Refinement for Solving the Symmetric Definite Generalized Eigenproblem.

[BibT_eX]

[DOI]

Philip I. Davies

SIAM J. Matrix Anal. Appl., 2001

Approximating the Logarithm of a Matrix to Specified Accuracy.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2001

Parallel Implementation of a Block Algorithm for Matrix 1-Norm Estimation.

[BibT_eX]

[DOI]

Sheung Hun Cheng

Proceedings of the Euro-Par 2001: Parallel Processing, 2001

2000

A Block Algorithm for Matrix 1-Norm Estimation, with an Application to 1-Norm Pseudospectra.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2000

Matlab guide.

[BibT_eX]

SIAM, ISBN: 978-0-89871-469-2, 2000

1999

Row-Wise Backward Stable Elimination Methods for the Equality Constrained Least Squares Problem.

[BibT_eX]

[DOI]

Anthony J. Cox

SIAM J. Matrix Anal. Appl., 1999

1998

A Modified Cholesky Algorithm Based on a Symmetric Indefinite Factorization.

[BibT_eX]

[DOI]

Sheung Hun Cheng

SIAM J. Matrix Anal. Appl., October, 1998

Structured Backward Error and Condition of Generalized Eigenvalue Problems.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 1998

Factorizing complex symmetric matrices with positive definite real and imaginary parts.

[BibT_eX]

[DOI]

Math. Comput., 1998

1997

Stability of the Diagonal Pivoting Method with Partial Pivoting.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., January, 1997

Stable iterations for the matrix square root.

[BibT_eX]

[DOI]

Numer. Algorithms, 1997

1996

Testing linear algebra software.

[BibT_eX]

Proceedings of the Quality of Numerical Software, 1996

Accuracy and stability of numerical algorithms.

[BibT_eX]

SIAM, ISBN: 978-0-89871-355-8, 1996

1995

Stability of Parallel Triangular System Solvers.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 1995

Matrix Powers in Finite Precision Arithmetic.

[BibT_eX]

[DOI]

Philip A. Knight

SIAM J. Matrix Anal. Appl., 1995

Stability of block LU factorization.

[BibT_eX]

[DOI]

James Weldon Demmel

Robert S. Schreiber

Numer. Linear Algebra Appl., 1995

1994

Stability of the Partitioned Inverse Method for Parallel Solution of Sparse Triangular Systems.

[BibT_eX]

[DOI]

Alex Pothen

SIAM J. Sci. Comput., 1994

A Parallel Algorithm for Computing the Polar Decomposition.

[BibT_eX]

[DOI]

Pythagoras Papadimitriou

Parallel Comput., 1994

1993

Optimization by Direct Search in Matrix Computations.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., April, 1993

Improved Error Bounds for Underdetermined System Solvers.

[BibT_eX]

[DOI]

James Weldon Demmel

SIAM J. Matrix Anal. Appl., January, 1993

The Accuracy of Floating Point Summation.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 1993

Handbook of writing for the mathematical sciences.

[BibT_eX]

SIAM, ISBN: 978-0-89871-314-5, 1993

1992

Stability of block algorithms with fast level-3 BLAS.

[BibT_eX]

[DOI]

James Demmel

ACM Trans. Math. Softw., 1992

Backward Error and Condition of Structured Linear Systems.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 1992

Stability of a Method for Multiplying Complex Matrices with Three Real Matrix Multiplications.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 1992

1991

Algorithm 694: a collection of test matrices in MATLAB.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 1991

1990

Exploiting fast matrix multiplication within the level 3 BLAS.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 1990

Fast Polar Decomposition of an Arbitrary Matrix.

[BibT_eX]

[DOI]

Robert S. Schreiber

SIAM J. Sci. Comput., 1990

Experience with a Matrix Norm Estimator.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 1990

1989

Algorithm 674: Fortran codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 1989

1988

FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation.

[BibT_eX]

[DOI]