Heidi Krista Thornquist is an American applied mathematician at Sandia National Laboratories known for her work on the Trilinos system of software for scientific computing. Her research interests include numerical linear algebra and electronic circuit simulation.
Thornquist majored in mathematics at Humboldt State University, graduating summa cum laude in 1998. [1] She became a doctoral student of Danny C. Sorensen in computational and applied mathematics at Rice University, where she completed her Ph.D. in 2006. Her dissertation was Fixed-Polynomial Approximate Spectral Transformations for Preconditioning the Eigenvalue Problem. [1] [2] She began working at Sandia in 2003, while she was still at Rice, and remained there after completing her doctorate. [1]
Thornquist is the lead developer of three packages within the Trilinos system: Anasazi, for computing eigenvalues, Belos, for solving systems of linear equations, and Teuchos, a suite of utilities and wrappers. [3]
Sandia National Laboratories (SNL), also known as Sandia, is one of three research and development laboratories of the United States Department of Energy's National Nuclear Security Administration (NNSA). Headquartered in Kirtland Air Force Base in Albuquerque, New Mexico, it has a second principal facility next to Lawrence Livermore National Laboratory in Livermore, California, and a test facility in Waimea, Kauai, Hawaii. Sandia is owned by the U.S. federal government but privately managed and operated by National Technology and Engineering Solutions of Sandia, a wholly owned subsidiary of Honeywell International.
James Hardy Wilkinson FRS was a prominent figure in the field of numerical analysis, a field at the boundary of applied mathematics and computer science particularly useful to physics and engineering.
Jack Joseph Dongarra is an American computer scientist and mathematician. He is the American University Distinguished Professor of Computer Science in the Electrical Engineering and Computer Science Department at the University of Tennessee. He holds the position of a Distinguished Research Staff member in the Computer Science and Mathematics Division at Oak Ridge National Laboratory, Turing Fellowship in the School of Mathematics at the University of Manchester, and is an adjunct professor and teacher in the Computer Science Department at Rice University. He served as a faculty fellow at the Texas A&M University Institute for Advanced Study (2014–2018). Dongarra is the founding director of the Innovative Computing Laboratory at the University of Tennessee. He was the recipient of the Turing Award in 2021.
Numerical linear algebra, sometimes called applied linear algebra, is the study of how matrix operations can be used to create computer algorithms which efficiently and accurately provide approximate answers to questions in continuous mathematics. It is a subfield of numerical analysis, and a type of linear algebra. Computers use floating-point arithmetic and cannot exactly represent irrational data, so when a computer algorithm is applied to a matrix of data, it can sometimes increase the difference between a number stored in the computer and the true number that it is an approximation of. Numerical linear algebra uses properties of vectors and matrices to develop computer algorithms that minimize the error introduced by the computer, and is also concerned with ensuring that the algorithm is as efficient as possible.
Trilinos is a collection of open-source software libraries, called packages, intended to be used as building blocks for the development of scientific applications. The word "Trilinos" is Greek and conveys the idea of "a string of pearls", suggesting a number of software packages linked together by a common infrastructure. Trilinos was developed at Sandia National Laboratories from a core group of existing algorithms and utilizes the functionality of software interfaces such as the BLAS, LAPACK, and MPI . In 2004, Trilinos received an R&D100 Award.
Margaret H. Wright is an American computer scientist and mathematician. She is a Silver Professor of Computer Science and former Chair of the Computer Science department at Courant Institute of Mathematical Sciences, New York University, with research interests in optimization, linear algebra, and scientific computing. She was elected to the National Academy of Engineering in 1997 for development of numerical optimization algorithms and for leadership in the applied mathematics community. She was elected to the National Academy of Sciences in 2005. She was the first woman to serve as President of the Society for Industrial and Applied Mathematics.
ARPACK, the ARnoldi PACKage, is a numerical software library written in FORTRAN 77 for solving large scale eigenvalue problems in the matrix-free fashion.
Alan Stuart Edelman is an American mathematician and computer scientist. He is a professor of applied mathematics at the Massachusetts Institute of Technology (MIT) and a Principal Investigator at the MIT Computer Science and Artificial Intelligence Laboratory (CSAIL) where he leads a group in applied computing. In 2004, he founded a business called Interactive Supercomputing which was later acquired by Microsoft. Edelman is a fellow of American Mathematical Society (AMS), Society for Industrial and Applied Mathematics (SIAM), Institute of Electrical and Electronics Engineers (IEEE), and Association for Computing Machinery (ACM), for his contributions in numerical linear algebra, computational science, parallel computing, and random matrix theory. He is one of the cocreators of the technical programming language Julia.
Vera Faddeeva was a Soviet mathematician. Faddeeva published some of the earliest work in the field of numerical linear algebra. Her 1950 work, Computational methods of linear algebra was widely acclaimed and she won a USSR State Prize for it. Between 1962 and 1975, she wrote many research papers with her husband, Dmitry Konstantinovich Faddeev. She is remembered as an important Russian mathematician, specializing in linear algebra, who worked in the 20th century.
Carol San Soucie Woodward is an American computational mathematician who works in the Center for Applied Scientific Computing at Lawrence Livermore National Laboratory. She was elected as a fellow of the Society for Industrial and Applied Mathematics (SIAM) in 2017, "for the development and application of numerical algorithms and software for large-scale simulations of complex physical phenomena".
Cynthia A. Phillips is a researcher at the Center for Computing Research of Sandia National Laboratories, known for her work in combinatorial optimization.
Tamara G. Kolda is an American applied mathematician and former Distinguished Member of Technical Staff at Sandia National Laboratories. She is noted for her contributions in computational science, multilinear algebra, data mining, graph algorithms, mathematical optimization, parallel computing, and software engineering. She is currently a member of the SIAM Board of Trustees and served as associate editor for both the SIAM Journal on Scientific Computing and the SIAM Journal on Matrix Analysis and Applications.
Karen Dragon Devine is an American computer scientist specializing in high-performance technical computing. She is a Distinguished Member of the Technical Staff in the Center for Computing Research at Sandia National Laboratories. At Sandia, she is part of the development team for the Zoltan and Trilinos scientific computing packages.
Jacqueline H. Chen is an American mechanical engineer. She works in the Combustion Research Facility of Sandia National Laboratories, where she is a Senior Scientist. Her research applies massively parallel computing to the simulation of turbulent combustion.
Validated numerics, or rigorous computation, verified computation, reliable computation, numerical verification is numerics including mathematically strict error evaluation, and it is one field of numerical analysis. For computation, interval arithmetic is used, and all results are represented by intervals. Validated numerics were used by Warwick Tucker in order to solve the 14th of Smale's problems, and today it is recognized as a powerful tool for the study of dynamical systems.
Victoria E. Howle is an American applied mathematician specializing in numerical linear algebra and known as one of the developers of the Trilinos open-source software library for scientific computing. She is a full professor in the Department of Mathematics and Statistics at Texas Tech University.
Maria Cristina Villalobos is an American applied mathematician at the University of Texas Rio Grande Valley, where she is Myles and Sylvia Aaronson Endowed Professor of mathematics, associate dean of sciences, and director of the Center of Excellence in STEM Education. Her research interests include mathematical optimization, control theory, and their application to retinitis pigmentosa treatment and to antenna design.
Lori Ann Diachin is an American computer scientist specializing in scientific computing, mesh generation, mesh improvement, and interoperability. She works in the Computation Directorate of the Lawrence Livermore National Laboratory, where she is Deputy Associate Director for Science and Technology, and Deputy Director of the Exascale Computing Project.
Ulrike Meier Yang is a German-American applied mathematician and computer scientist specializing in numerical algorithms for scientific computing. She directs the Mathematical Algorithms & Computing group in the Center for Applied Scientific Computing at the Lawrence Livermore National Laboratory, and is one of the developers of the Hypre library of parallel methods for solving linear systems.