# Items where Author is "Relton, Samuel D."

**21**.

## Article

Kandolf, Peter and Relton, Samuel D.
(2017)
*A Block Krylov Method to Compute the Action of the Frechet Derivative of a Matrix Function on a Vector with Applications to Condition Number Estimation.*
SIAM J. Sci. Comput., 39 (4).
A1416-A1434.

Dongarra, Jack and Hammarling, Sven and Higham, Nicholas J. and Relton, Samuel D. and Valero-Lara, Pedro and Zounon, Mawussi
(2017)
*The Design and Performance of Batched BLAS on Modern High-Performance Computing Systems.*
Procedia Computer Science, 108.
pp. 495-504.

Higham, Nicholas J. and Relton, Samuel D.
(2016)
*Estimating the Largest Elements of a Matrix.*
SIAM Journal on Scientific Computing, 38 (5).
C584-C601.

Al-Mohy, Awad H. and Higham, Nicholas J. and Relton, Samuel D.
(2015)
*New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously.*
SIAM J. Sci. Comput., 37 (1).
A456-A487.
ISSN 1095-7197

Higham, Nicholas J. and Relton, Samuel D.
(2014)
*Estimating the Condition Number of the Frechet Derivative
of a Matrix Function.*
SIAM Journal on Scientific Computing, 36 (6).
C617-C634.
ISSN 1064-8275

Higham, Nicholas J. and Relton, Samuel D.
(2014)
*Higher Order Frechet Derivatives of Matrix Functions and the Level-2 Condition Number.*
SIAM Journal on Matrix Analysis and Applications, 35 (3).
pp. 1019-1037.
ISSN 1095-7162

Al-Mohy, Awad H. and Higham, Nicholas J. and Relton, Samuel D.
(2013)
*Computing the Frechet Derivative of the Matrix Logarithm
and Estimating the Condition Number.*
SIAM J. Sci. Comput., 35 (4).
C394 -C410.
ISSN 1095-7197

## MIMS Preprint

Relton, Samuel D. and Valero-Lara, Pedro and Zounon, Mawussi
(2016)
*A Comparison of Potential Interfaces for Batched BLAS Computations.*
[MIMS Preprint]

Kandolf, Peter and Relton, Samuel D.
(2016)
*A Block Krylov Method to Compute the Action of the Frechet Derivative of a Matrix Function on a Vector with Applications to Condition Number Estimation.*
[MIMS Preprint]

Dongarra, Jack and Duff, Iain and Gates, Mark and Haidar, Azzam and Hammarling, Sven and Higham, Nicholas J. and Hogg, Jonathon and Valero-Lara, Pedro and Relton, Samuel D. and Tomov, Stanimire and Zounon, Mawussi
(2016)
*A Proposed API for Batched Basic Linear Algebra Subprograms.*
[MIMS Preprint]

Higham, Nicholas J. and Relton, Samuel D.
(2015)
*Estimating the Largest Elements of a Matrix.*
[MIMS Preprint]

Higham, Nicholas J. and Relton, Samuel D.
(2015)
*Estimating the Largest Elements of a Matrix.*
[MIMS Preprint]

Arter, Wayne and Morgan, J. Guy and Relton, Samuel D. and Higham, Nicholas J.
(2015)
*Ranking the Importance of Nuclear Reactions for Activation and Transmutation Events.*
[MIMS Preprint]

Arter, Wayne and Morgan, J. Guy and Relton, Samuel D. and Higham, Nicholas J.
(2015)
*Ranking the Importance of Nuclear Reactions for Activation and Transmutation Events.*
[MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J. and Relton, Samuel D.
(2014)
*New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously.*
[MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J. and Relton, Samuel D.
(2014)
*New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously.*
[MIMS Preprint]

Higham, Nicholas J. and Relton, Samuel D.
(2013)
*Estimating the Condition Number of the Frechet Derivative
of a Matrix Function.*
[MIMS Preprint]

Higham, Nicholas J. and Relton, Samuel D.
(2013)
*Higher Order Frechet Derivatives of Matrix Functions and the Level-2 Condition Number.*
[MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J. and Relton, Samuel D.
(2012)
*Computing the Frechet Derivative of the Matrix Logarithm
and Estimating the Condition Number.*
[MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J. and Relton, Samuel D.
(2012)
*Computing the Frechet Derivative of the Matrix Logarithm
and Estimating the Condition Number.*
[MIMS Preprint]

Al-Mohy, Awad H. and Higham, Nicholas J. and Relton, Samuel D.
(2012)
*Computing the Frechet Derivative of the Matrix Logarithm
and Estimating the Condition Number.*
[MIMS Preprint]