We present an iterative method for solving linear systems, which has the property ofminimizing at every step the norm of the residual vector over a Krylov subspace. The algorithm is derived from the Arnoldi process for constructing an l2-orthogonal basis of Krylov subspaces. It can be considered as a generalization of Paige and Saunders’ MINRES…
SIAM Journal on Scientific and Statistical Computing Template
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About the SIAM Journal on Scientific and Statistical Computing format
SIAM Journal on Scientific and Statistical Computing is a peer-reviewed journal published by SIAM, covering Matrix Theory and Algorithms, Advanced Numerical Methods in Computational Mathematics, Numerical methods for differential equations.
| Publisher | SIAM |
|---|---|
| Reference style | Numbered (SIAM) Numbered — [1], [2] in the text [1] A. Smith, B. Jones, and C. Lee, A representative article title, SIAM Journal on Scientific and Statistical Computing 12 (2023) 45–58.
Formats any DOI in the closest standard style — SIAM Journal on Scientific and Statistical Computing has no published style definition, so this is an approximation. No sign-up. |
| Publishes research in | Matrix Theory and Algorithms Advanced Numerical Methods in Computational Mathematics Numerical methods for differential equations Advanced Optimization Algorithms Research Electromagnetic Scattering and Analysis |
| ISSN | 0196-5204 |
| h-index | 115 |
| i10-index | 671 |
| Total citations | 78,737 |
| Top institutions publishing here | Yale University |
| Journal website | www.siam.org |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
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Most-cited papers in SIAM Journal on Scientific and Statistical Computing
Recently the Conjugate Gradients-Squared (CG-S) method has been proposed as an attractive variant of the Bi-Conjugate Gradients (Bi-CG) method. However, it has been observed that CG-S may lead to a rather irregular convergence behaviour, so that in some cases rounding errors can even result in severe cancellation effects in the solution. In this paper, another…
The use of partial least squares (PLS) for handling collinearities among the independent variables X in multiple regression is discussed. Consecutive estimates $({\text{rank }}1,2,\cdots )$ are obtained using the residuals from previous rank as a new dependent variable y. The PLS method is equivalent to the conjugate gradient method used in Numerical Analysis for related…
VODE is a new initial value ODE solver for stiff and nonstiff systems. It uses variable-coefficient Adams-Moulton and Backward Differentiation Formula (BDF) methods in Nordsieck form, as taken from the older solvers EPISODE and EPISODEB, treating the Jacobian as full or banded. Unlike the older codes, VODE has a highly flexible user interface that is…
An algorithm is proposed for the problem of minimizing a quadratic function subject to an ellipsoidal constraint which is guaranteed to produce a nearly optimal solution in a finite number of iterations. A robust and efficient algorithm for this problem is required to compute the step between iterates in trust region methods for optimization problems.…