Daniel B. Szyld

Department of Mathematics
College of Science and Technology
Temple University
1805 N Broad Street
Philadelphia, PA 19122-6094, USA
Phone +1 215 204 7288
FAX +1 215 204 6433
szyld AT temple DOT edu

(About this photograph, and others)

My interest is Numerical Analysis and Scientific Computing in general, and Numerical and Applied Linear Algebra in particular.

I am a co-Director of the High-Performance Computing for Scientific Applications Professional Science Master, and a member of the Center for Computational Mathematics and Modeling at Temple University.

I am a member of the Editorial Boards of:
The Electronic Journal of Linear Algebra (ELA),
the Electronic Transactions on Numerical Analysis (ETNA) (European mirror site),
Linear Algebra and its Applications,
Mathematics of Computation,
Numerical Linear Algebra with Applications,
and the Journal of Numerical Analysis and Approximation Theory (published by the Romanian Academy).

I am currently the President of the International Linear Algebra Society (ILAS),
one of the SIAM representatives to the Mathematical Council of the Americas,
and a member of the Selection Committee for the AWM Dissertation Prizes.

Link to my Wikipedia page.

Seminars at Temple University.
Applied Mathematics and Scientific Computing at Temple University.
Mathematical Contest in Modeling for undergraduates at Temple.

Upcoming conferences and events of note:

One World Numerical Analysis Seminar, online, by-weekly, ongoing.
Challenges and Advances in Numerical Analysis. 5-9 June 2023, Cagliari, Sardinia, Italy.
25th Conference of the International Linear Algebra Society (ILAS2023), 12-16 June 2023, Madrid, Spain.
Numerical Analysis and Scientific Computation with Applications (NASCA23) 3-6 July, 2023, National and Kapodistrian University of Athens, Athens, Greece.
Math and Computation: Synergistic Interactions between Theory and Computations, 27-29 July 2023, MIT, Cambridge, Mass.
Numerical Analysis in the 21st Century, 14-17 August 2023, Oxford University.
Tenth International Congress on Industrial and Applied Mathematics (ICIAM 2023), 20-25 August 2023, Tokyo.
Mathematical Congress of the Americas 2025, 21-25 July 2025, Miami.
International Congress of Mathematicians (ICM 2026), 22-29 July 2026, Philadelphia.

A link to the Thesis of Gene H. Golub: The Use of Chebychev Matrix Polynomials in the Iterative Solution of Linear Equations Compared to the Method of Successive Relaxation, Univeristy of Illinois (Urbana-Champaign), March 1959 (139 pages).

An Interview

I gave, which appeared in IMAGE, The Bulletin of the International Linear Algebra Society, November 2018. It was conducted by Froilán Dopico.

Some math-related opinions of note:

Maths spying: The quandary of working for the spooks, from The New Scientist, April 2014.

Mathematicians and Ethical Engagement, from SIAM News, November 2018.

The Importance of Ethics in Mathematics by Maurice Chiodo and Toby Clifton, Nesletter of the London Mathematical Society, September 2019, pp. 22-26.

Why are there so few Black Professors in our Universities? (in French) by Ivar Ekeland, Gazette des Mathematiciens, from the French Mathematical Society, April 2021.

Just Mathematics Collective

A letter to the editor of the New York Times

I wrote about the mathematics of voting. 16 October 2016.

A Research Monogrpah

Isaac Klapper, Daniel B. Szyld, and Kai Zhao,
Metabolic Networks, Elementary Flux Modes, and Polyhedral Cones,
SIAM, 2021.

My latest research papers are

Faycal Chaouqui and Daniel B. Szyld, A Two-Level Restricted Additive Schwarz Method For Asynchronous Computations, Research Report 22-11-11, November 2022. Bibtex.

Isaac Klapper, Daniel B. Szyld, Xinli Yu, Karsten Zengler, Tianyu Zhang, and Cistal Zúñiga, A domain decomposition method for solution of a PDE-constrained generalized Nash equilibrium model of biofilm community metabolism, Research Report 22-07-25, July 2022. Bibtex.
Supplemental Material.

Jian Du, Bindi M. Nagda, Owen L. Lewis, Daniel B. Szyld, and Aaron L. Fogelson, A Computational Framework for the Swelling Dynamics of Mucin-like Polyelectrolyte Gels. July 2021, revised June 2022.

Faycal Chaouqui and Daniel B. Szyld, On optimal coarse space correction for Restricted and Optimized Additive Schwarz Method, Research Report 20-09-18, September 2020. Bibtex.

Micheael L. Parks, Kirk M. Soodhalter, and Daniel B. Szyld, A block Recycled GMRES method with investigations into aspects of solver performance, Research Report 16-04-04, April 2016. Revised August 2017. Available also at the arxiv. Bibtex
Supplementary Materials.
Software for block Recycled GMRES is available at Zenodo.


Erik G. Boman, Andrew J. Higgins, and Daniel B. Szyld, Optimal Size of the Block in Block GMRES on GPUs: Computational Model and Experiments. Research Report 22-04-30, April 2022. Revised August 2022. Numerical Algorithms, vol. 92 (2023). To appear. Bibtex.

Christian E. Schaerer, Daniel B. Szyld, and Pedro J. Torres, A posteriori superlinear convergence bounds for block conjugate gradient, Research Report 21-07-11, July 2021. Revised May 2022 and September 2022. Bibtex. Available also at the arxiv. Electronic Transactions on Numerical Analysis (ETNA), vol. 58 (2023) to appear.

Andreas Frommer, and Daniel B. Szyld, On the convergence of randomized and greedy relaxation schemes for solving nonsingular linear systems of equations. Numerical Algorithms, vol. 92 (2023). Online 16 November 2022. Bibtex.

Faycal Chaouqui, Edmond Chow, and Daniel B. Szyld, Electronic Transactions on Numerical Analysis (ETNA), vol. 58 (2023) pp. 22-42. Bibtex.


José C. Garay, Frédéric Magoulès, Daniel B. Szyld, Synchronous and Asynchronous Optimized Schwarz Method for Poisson's Equation in Rectangular Domains, Electronic Transactions on Numerical Analysis (ETNA), vol. 55 (2022), pp. 744-791. Bibtex

Candan Güdücü, Jörg Liesen, Volker Mehrmann, and Daniel B. Szyld, On non-Hermitian positive (semi)definite linear algebraic systems arising from dissipative Hamiltonian DAEs, Research Report 21-11-09, November 2021. Revised March 2022 and July 2022. Bibtex. Available also at the arxiv. SIAM Journal on Scientific Computing, vol. 44 (2022), pp. A2871-A2894.

Martin J. Gander, Lahcen Laayouni, and Daniel B. Szyld, SParse Approximate Inverse (SPAI) based transmission conditions for optimized algebraic Schwarz methods, Research Report 21-03-31, March 2021. Revised June 2021. In Domain Decomposition Methods in Science and Engineering XXVI, Springer 2022. Bibtex.


Eric King-wah Chu, Daniel B. Szyld, and Jieyong Zhou , Numerical solution of singular Lyapunov equations. Numerical Linear Algebra with Applications, vol. 28 (2021) e2381. Bibtex

Edmond Chow, Andreas Frommer, and Daniel B. Szyld, Asynchronous Richardson iterations: Theory and practice. Numerical Algorithms, vol. 87 (2021), pp. 1635-1651. Bibtex. Available also at the arxiv.

Work on most of these papers was supported in part by the Department of Energy (Office of Science), and by the National Science Foundation.

Other Papers: Chronological . By subject.
See also the collections I edited:
Proceedings of Seminar on Web Information Retrieval and Other Applications of Markov Chain Modeling (Dagsuhl, 2007)
75 Years of Mathematics of Computation (AMS, 2020)
Recorded Lectures:

Matrices with Perron-Frobenius Properties, given at the Workshop on Theoretical and Applied Aspects of Nonnnegative Matrices at the Banff International Research Station for Mathematical Innovation and Discovery, Banff, Alberta, Canada, 27-29 July 2012.

Asynchronous Optimized Schwarz Methods for the solution of PDEs, given at Cornell on 6 November 2015.

Complete CV (Temple format) or shorter CV. Google scholar profile.
Current PhD student supervision at Temple: Andrew Higgins
Current postdoctoral supervision: Faycal Chaouqui

Links to former students and postdocs

Honors, Awards, and Recognitions.
Commemorative medal of the School of Mathematics and Physics, Charles University of Prague, at the Czech-U.S. Workshop on Iterative Methods and Parallel Computing, June 16-21, 1997, Milovy, Czech Republic.
Featured in the book Hall of Fame containing linocuts portraits of scientists in the field of scientific computing made by Henk van der Vorst. Published by SARA, the High Performance Computing Agency of the Netherlands, December 2010.
Dean's Distinguished Award for Excellence in Research, College of Science and Technology, Temple University, October 2011.
Fellow of the American Mathematical Society, Class of 2017.
Fellow of the Society of Industrial and Applied Mathematics, Class of 2017. (A note from the College's news on these two recognitions).
Achievement in Mathematics Award, College of Science and Technology 20th Anniversary Special Recognition, Temple University, 2018.
Faculty Senate Outstanding Service Award, Temple University, 2021.
Latest trends and insights into matrix theory, iterative methods, and preconditioning, A conference honoring the 65th birthday of Prof. Daniel B. Szyld, 24-26 March 2022, Temple University, Philadelphia. A report on the conference in IMAGE.

Scientific Societies.
American Mathematical Society (AMS).
Asociación Argenitina de Matemática Aplicada, Computational e Industrial (ASAMCI) .
Association for Women in Mathematics (AWM).
GAMM Activity Group on Applied and Numerical Linear Algebra .
International Linear Algebra Society (ILAS).
Mathematical Council of the Americas.
National Association of Mathematicians (NAM).
Societé Mathématique de France (SMF).
Society of Industrial and Applied Mathematics (SIAM). Check this video clip: Why be a SIAM member?
SIAM Activity Group on Linear Algebra. See an article on Trends in Linear Algebra.
Unión Matemática de América Latina y el Caribe (UMALCA).
Check also the pages for Domain Decomposition Methods, the NA-Digest, and for the Householder Symposia.

Some great resources: Why do math?, What's Happening in the Mathematical Sciences?, Guide for Women in Mathematics: History, Scholarships, and Career Potential.

And four wonderful websites honoring mathematicians: Mathematically Gifted and Black, Mathematicians of the African Diaspora, Latin@s and Hispanics in the Mathematical Sciences, Indigenous Mathematicians.

Links to some good friends and colleagues

I am a member of the Union of Concerned Scientists (UCS).
Faculty at Temple U. is unionized, our Union (TAUP) is part of the American Federation of Teachers (AFL-CIO).
I like to read The Nation; see also This can't be happening. I like to listen to Pacifica Radio, and Democracy Now!
Links to the Washington Office on Latin America (WOLA), the Council for Hemispheric Affairs (COHA), and to NACLA (North American Congress on Latin America).
Link to an honest commemoration of 50 years of the American War in Vietnam
Go to the Department of Mathematics Home Page

Last updated: 28 September 2022