Numerical linear algebra is the study of algorithms for performing linear algebra computations, most notably matrix operations, on computers. It is often a fundamental part of engineering and computational science problems, such as image and signal processing, telecommunication, computational finance, materials science simulations, structural biology, data mining, and bioinformatics, fluid dynamics, and many other areas. Such software relies heavily on the development, analysis, and implementation of state-of-the-art algorithms for solving various numerical linear algebra problems, in large part because of the role of matrices in finite difference and finite element methods.
Common problems in numerical linear algebra include computing the following: LU decomposition, QR decomposition, Singular value decomposition, eigenvalues.
Other articles related to "numerical, numerical linear algebra":
... Nicholas Trefethen FRS is professor of numerical analysis and head of the Numerical Analysis Group in the Mathematical Institute at the University of Oxford ... around 125 journal papers spanning a wide range of areas within numerical analysis and applied mathematics, including non-normal eigenvalue problems and applications, spectral methods for ... This work covers theoretical aspects as well as numerical algorithms, and applications including fluid mechanics, numerical solution of partial differential equations, numerical linear algebra ...