Selected talks
- Exploiting Mixed Precision
Arithmetic for Fast Solution of Positive Definite Linear Systems
(Distinguished Lecture Series, Department of Computer Science,
University of British Columbia, December 2019).
Video of talk.
-
Exploiting Low Precision Arithmetic in
the Solution of Linear Systems (International Congress on
Industrial and Applied Mathematics (ICIAM), July 2019,
Valencia, Spain).
Video of talk.
-
Accelerating Scientific Discovery with Low Precision Floating-Point Arithmetic
(2019).
-
A New Approach to Probabilistic
Rounding Error Analysis (Feng Kang Distinguished Lecture, 2019).
-
Exploiting Half Precision Arithmetic in Solving Linear Systems (Feng Kang Distinguished Lecture, 2019).
-
Exploiting Half Precision Arithmetic in Solving Ax = b (2019).
- Tricks and Tips in Numerical
Computing, JuliaCon 2018, London.
Video of
lectures.
-
Multiprecision Algorithms (EMS School in Applied Mathematics
lectures, 2018).
-
Matrix Functions and their Sensitivity (2018).
-
Multiprecision Algorithms (Samuel D. Conte Distinguished Lecture,
2018).
-
Multiprecision Algorithms (EU Regional School lectures, 2018).
Video of lectures.
-
Iterative Refinement in Three Precisions for Fast and Accurate Solution of
Ill-Conditioned Sparse Linear Systems (2018).
-
Multiprecision Algorithms (2018).
-
The Rise of Multiprecision Computations (2017).
See write-up on talk
by George Constantinides.
-
The Rise of Multiprecision Computations (2017).
Video
of talk given at SAMSI.
-
Challenges in Multivalued Matrix Functions (2017).
Video
of talk given at North Carolina State University.
-
Charlie Van Loan and the Matrix Exponential (2016).
-
Challenges in Multivalued Matrix Functions (2016).
-
Anderson Acceleration of the Alternating Projections Method for
Computing the Nearest Correlation Matrix, poster (2015).
-
Recent Progress on the Nearest Correlation Matrix Problem
(2015).
-
Rehabilitating Invalid Correlation Matrices
(2014).
-
How and Why to Estimate Condition Numbers for Matrix Functions
(2014).
-
The
Matrix Logarithm: from Theory to Computation (2014).
Video podcast.
-
How
and Why to Estimate Condition Numbers for Matrix Functions (2013).
-
Functions of Matrices
(talk at the Gene Golub SIAM Summer School 2013).
-
Rehabilitating Correlations, Avoiding Inversion, and
Extracting Roots (2013).
-
Functions of Matrices and Nearest Correlation Matrices (2013).
-
Numerical Issues in Testing Linear Algebra Algorithms (2013).
-
Bringing New Algorithms in Numerical Linear Algebra to Industry (2013).
-
Can You Count on Your Computer (2013).
-
Accuracy And Stability of Numerical Algorithms (2013).
-
Challenges in Exploiting Higher Precision Floating Point Arithmetic
(2012).
-
The Matrix Logarithm: from Theory to Computation
(2012).
-
Backward Stability of Iterations for Computing the Polar Decomposition
(2012).
-
Functions of Matrices and
Nearest Correlation Matrices (2011).
-
Numerical Linear Algebra in the UK: from Cayley to Exascale
Computing (Public Lecture, 2011).
-
The f(A)b Problem (2011).
-
Functions of a Matrix: Theory, Applications and Computation (2011).
-
A Schur-Padé Algorithm for Fractional Powers of a Matrix (2010).
-
How and How Not to Compute the Exponential of a Matrix (2010).
Video of the talk given at
NAG AGM (technical session).
-
Computing the Action of the Matrix Exponential (2010).
-
Roots of Matrices (2009).
-
Cayley, Sylvester, and Early Matrix Theory (2009).
-
Computing a Nearest Correlation Matrix with Factor Structure
(2009).
Video of the talk available from
Wilmott site
(registration may be required)
or
NAG
site.
-
Scaling, Sensitivity and Stability
in Numerical Solution of
the Quadratic Eigenvalue Problem (2009).
-
An Improved Arc Algorithm for Detecting Definite Hermitian
Pencils
(2009).
-
How and How Not to Compute the Exponential of a Matrix (2009).
-
Recent Progress in Computing the Matrix Exponential and its
Fréchet Derivative (2008).
-
Computing the Fréchet Derivative of the Matrix Exponential,
with an Application to Condition Number Estimation (2008).
-
Ralph Byers, the Matrix Sign Function, and the Polar
Decomposition (2008).
- Some
Useful Results in the Theory of Matrix Functions (2007).
- Numerical
Analysis of the Matrix Logarithm (2007).
- Functions
of Matrices: From Cayley and Sylvester to MATLAB (2007). Extended
abstract of talk.
- The
Canonical Polar Decomposition: Theory and Computation (2007).
- Can
You Count on Your Correlation Matrix? (2006). Video
of the talk available from the Wilmott site (registration required).
- Functions
of a Matrix: Theory and Computation (2006)
- Iterations
for Matrix Roots: Convergence and Stability (2006)
- Computing
f(A)b for Matrix Functions f (2006)
- Computing
Matrix Functions by Iteration: Convergence, Stability and the Role of Padé Approximants (2006)
- Solving
the Polynomial Eigenvalue Problem by Linearization (2006)
- Algorithms
for Solving the Polynomial Eigenvalue Problem (2006)
- Five
Theorems in Matrix Analysis, with Applications (2006)
- Can
You ``Count'' On Your Computer (lecture for Foundation year [pre-university]
students, 2005)
- Early
Numerical Linear Algebra in the UK , 2005.
- Convergence
and Stability of Iterations for Matrix Functions (2005)
- Efficient
Algorithms for the Matrix Cosine and Sine (2005)
- Solving
Polynomial Eigenproblems by Linearization (2005) [for engineering
audience]
- The
Conditioning of Polynomial Eigenproblem Linearizations (2005)
- Computing
the Matrix Square Root in a Matrix Group (2004)
- The
Scaling and Squaring Method for the Matrix Exponential Revisited (2004)
- Matrix
Functions Preserving Group Structure and Iterations for the Matrix Square
Root (2003)
- Structure-Preserving
Iterations on Matrix Groups (2003)
- J-Orthogonal
Matrices: Properties and Generation (2003)
- Matrix
Functions: Theory and Algorithms (2003)
- Computing
the Polar Decomposition in Matrix Groups (2003)
- Recent
Results on Accuracy and Stability of Numerical Algorithms (2002)
- Solving
the Indefinite Least Squares Problem by Hyperbolic QR Factorization (2002)
- Computing
the Nearest Correlation Matrix - A Problem from Finance (2002). Video
of the talk , given at ERCIM Working Group on Matrix Computations and
Statistics Workshop, IRISA, Rennes, Feburary 2002.
- Accuracy
and Stability of Numerical Algorithms (2001)
- How
to Detect and Destroy Definiteness of Generalized and Quadratic Eigenvalue
Problems (2001)
- Pseudospectra
for Polynomial Eigenvalue Problems: Theory, Computation and Applications (2001)
- Structured
Pseudospectra for Polynomial Eigenvalue Problems, with Applications (2000)
- Solving
the Indefinite Linear Least Squares Problem (2000)
- A
Block Algorithm for Matrix 1-Norm Estimation, with an Application to 1-Norm
Pseudospectra (1999)
- Solving
a Quadratic Matrix Equation by Newton's Method with Exact Line Searches (1999)
- QR
Factorization with Complete Pivoting and Accurate Computation of the SVD (1998)
- The
Nearest Definite Pair and the Inner Numerical Radius (1998)
- Can
You ``Count'' On Your Computer (public lecture for Science Week 1998)
- The
Symmetric Indefinite Factorization: Stability and Applications in Optimization (1997)
- How
and How Not to Compute the Matrix Square Root (1997)
- Stability
of Householder QR Factorization for Weighted Least Squares Problems (1997)
- Analyse
d'Erreur Inverse Pour le Probleme des Moindres Carres (in French)
(1997)
- Modifying
the Inertias of Matrices Arising in Optimization (1996)
- Matrices:
Pure, Applied, and for Fun (1996)
- Computing
the Field of Values and Pseudospectra Using the Lanczos Method with Continuation (1996)
- Testing
Linear Algebra Software (1996)
- Turing,
Wilkinson, and Gaussian Elimination (1996)
- Rounding
Errors in Eigenvalue Computations (1995)
- Pitfalls
in Floating Point Computation---And How to Avoid Them (1995)
- How
and How Not to Sum Floating Point Numbers (1995)
- Recent
Results on the Accuracy and Stability of Least Squares Solvers (1994)
- Matrix
Procrustes Problems (1994)