- Referenced in 522 articles
- Collection is widely used by the numerical linear algebra community for the development and performance...
- Referenced in 240 articles
- extensive tools for solving common numerical linear algebra problems, finding the roots of nonlinear equations...
- Referenced in 122 articles
- comparative studies of algorithms for numerical linear algebra. Matrices as well as matrix generation software...
- Referenced in 87 articles
- transportable library for solving common numerical linear algebra problems, including systems of linear equations, linear...
- Referenced in 71 articles
- systems and control theory. Based on numerical linear algebra routines from BLAS and LAPACK libraries ... error or warning indicator; 3. numerical stability and accuracy: the results are as good...
- Referenced in 68 articles
- collection of Fortran subroutines for doing numerical linear algebra and optimization. It may be used...
- Referenced in 40 articles
- Fang and Y. Saad [Numer. Linear Algebra Appl., 16 (2009), pp. 197–221] has clarified ... general tool. We first show that, on linear problems, Anderson acceleration without truncation is “essentially ... Anderson acceleration and illustrate its performance through numerical experiments involving a variety of applications...
- Referenced in 24 articles
- mixing techniques for solving problems in linear algebra have been proposed in the last decade ... made a significant impact on numerical linear algebra. We show that by using a high ... well in the traditional yardsticks of numerical linear algebra: it is significantly faster than high ... algorithms, and it is numerically backward stable. More specifically, we describe a least-squares solver...
- Referenced in 256 articles
- MATLAB that extends familiar powerful methods of numerical computation involving numbers to continuous or piecewise ... also implements continuous analogues of linear algebra notions like the QR decomposition...
- Referenced in 17 articles
- computing verified solutions of various numerical linear algebraic problems having exact or interval-valued data...
- Referenced in 218 articles
- algebra by exploring ratio and proportion, rate of change, and functional relationships through numeric, tabular ... transform geometric shapes and functions—from linear to trigonometric—promoting deep understanding. Sketchpad ... computer lab or on laptops. Computer algebra system...
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- abstracts many problems in numerical linear algebra, optimization, and other areas of data science ... Linear convergence is obtained under suitable assumptions. We propose special cases of ARock for linear ... well as distributed and decentralized consensus problems. Numerical experiments solving sparse logistic regression problems...
- Referenced in 72 articles
- value problems. An efficient algorithm for the numerical integration of large sparse systems of stiff ... constructed by embedding a standard sparse linear algebraic equation solver into a suitably modified MEBDF ... application of this algorithm is in the numerical solution of time dependent partial differential equations...
- Referenced in 33 articles
- sofware package for the numerical solution of linear differential-algebraic equations (DAEs) with variable coefficients...
- Referenced in 127 articles
- linear equations, polynomials, and sets, lists, vectors, matrices, and tensors. Maxima yields high precision numeric ... data in two and three dimensions. Computer algebra system...
- Referenced in 111 articles
- solution of a system of linear algebraic equations with a non-singular n×n matrix ... BiCG residue and for improving the numerical stability. Both parts are studied in detail...
- Referenced in 32 articles
- present and analyze a new class of numerical methods for the solution of stiff stochastic ... large systems without linear algebra problems usually encountered with implicit methods. Numerical results and comparisons...
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- Many computational applications rely heavily on numerical linear algebra operations. A good number of these...
- Referenced in 5 articles
- performed by MAPLE, and the numerical linear algebra and general programming tasks by MATLAB...
- Referenced in 5 articles
- therefore make heavy use of numerical linear algebra (NLA) functions, vectorized operations, slicing and broadcasting...