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Numerical Linear Algebra with Applications
H-index 12

Numerical Linear Algebra with Applications

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 203 44 89 12
Computer Science 721 15 24 7

Additional Metrics

Number of Best Scientists*: 63
Documents by Best Scientists*: 108
Top 100 Ranked Scientists*: 2
SCIMAGO H-index: 61
SCIMAGO SJR: 0.757
Impact Factor: 2.1

Overview

Top Research Topics at Numerical Linear Algebra With Applications?

The scientific interests tackled in the journal are Applied mathematics, Mathematical analysis, Mathematical optimization, Matrix (mathematics) and Linear system. Applied mathematics research featured in the journal incorporates concerns from various other topics such as Finite element method, Iterative method, Preconditioner, Multigrid method and Eigenvalues and eigenvectors. Finite element method study tackled is connected to the field of Discretization.

Krylov subspace is a major topic of Iterative method research. It links adjacent topics like Preconditioner with Conjugate gradient method. While Numerical Linear Algebra With Applications focused on Multigrid method, it was also able to explore topics like Grid and Solver.

The research on Mathematical analysis tackled can also make contributions to studies in the areas of Rate of convergence and Domain decomposition methods. Combinatorics and Rank (linear algebra) are some topics wherein Matrix (mathematics) research discussed in it have an impact. The studies on Linear system discussed can also contribute to research in the domains of Positive-definite matrix and Algorithm.

  • Applied mathematics (38.75%)
  • Mathematical analysis (20.90%)
  • Mathematical optimization (17.55%)

What are the most cited papers published in the journal?

  • ILUT: A dual threshold incomplete LU factorization (530 citations)
  • RECENT COMPUTATIONAL DEVELOPMENTS IN KRYLOV SUBSPACE METHODS FOR LINEAR SYSTEMS (316 citations)
  • Numerical solution of large‐scale Lyapunov equations, Riccati equations, and linear‐quadratic optimal control problems (273 citations)

Research areas of the most cited articles at Numerical Linear Algebra With Applications:

The most cited publications aim to foster the development of research in Applied mathematics, Mathematical analysis, Mathematical optimization, Algebra and Multigrid method. While Applied mathematics is the focus of the most cited papers, it also provides insights into the studies of Positive-definite matrix, Matrix (mathematics) and Linear system, Preconditioner, Krylov subspace. The journal articles explore topics in Mathematical analysis which can be helpful for research in disciplines like Domain decomposition methods, Iterative method, Conjugate gradient method, Matrix splitting and Eigenvalues and eigenvectors.

What topics the last edition of the journal is best known for?

  • Mathematical analysis
  • Eigenvalues and eigenvectors
  • Algebra

The previous edition focused in particular on these issues:

Numerical Linear Algebra With Applications is organized to address concerns in the fields of Applied mathematics, Multigrid method, Algorithm, Iterative method and Matrix (mathematics). Issues in Applied mathematics were discussed, taking into consideration concepts from other disciplines like Krylov subspace, Reduction (complexity), Preconditioner, Parareal and Discretization. It addresses concerns in the field of Preconditioner by exploring it in line with topics in Robustness (computer science) which intersect with Linear system and Factorization subjects.

While Numerical Linear Algebra With Applications mainly focused on Multigrid method studies, it also tackled the scientific discipline of interrelated fields such as

  • Finite element method that connect with fields like Mathematical analysis,
  • Solver most often made with reference to Grid.. In addition to Algorithm research, Numerical Linear Algebra With Applications aims to explore topics under Principal component analysis, Row and column spaces and Matrix norm. Matrix (mathematics) research in Numerical Linear Algebra With Applications involves the investigation of Eigenvalues and eigenvectors studies, all of which are linked to disciplines such as Polynomial and Conjugate gradient method.

The most cited articles from the last journal are:

  • A local Fourier analysis of additive Vanka relaxation for the Stokes equations (11 citations)
  • Low synchronization Gram–Schmidt and generalized minimal residual algorithms (9 citations)
  • Numerical subspace algorithms for solving the tensor equations involving Einstein product (4 citations)

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

The top authors publishing in Numerical Linear Algebra With Applications (based on the number of publications) are:

  • Panayot S. Vassilevski (29 papers) published 2 papers at the last edition,
  • Michael K. Ng (28 papers) published 1 paper at the last edition, 1 less than at the previous edition,
  • Lothar Reichel (24 papers) published 2 papers at the last edition,
  • Yimin Wei (23 papers) absent at the last edition,
  • Owe Axelsson (22 papers) absent at the last edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Only papers with recognized affiliations are considered

The top affiliations publishing in Numerical Linear Algebra With Applications (based on the number of publications) are:

  • Lawrence Livermore National Laboratory (43 papers) published 7 papers at the last edition,
  • University of Colorado Boulder (34 papers) published 2 papers at the last edition,
  • Chinese Academy of Sciences (31 papers) published 1 paper at the last edition the same number as at the previous edition,
  • Fudan University (30 papers) published 1 paper at the last edition the same number as at the previous edition,
  • Russian Academy of Sciences (28 papers) absent at the last edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2021 edition, 1.25% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 22.78% were posted by at least one author from the top 10 institutions publishing in the journal. Another 3.80% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 22.78% of all publications and 50.63% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

  • Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
  • Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
  • Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
  • Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
  • Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.

Top Publications

  • Robust tensor completion using transformed tensor singular value decomposition

    Guangjing Song;Michael K. Ng;Xiongjun Zhang

    (2020)
    144 Citations
  • On algorithms for and computing with the tensor ring decomposition

    Oscar Mickelin;Sertac Karaman

    (2020)
    32 Citations
  • The tensor Golub–Kahan–Tikhonov method applied to the solution of ill-posed problems with a t-product structure

    Lothar Reichel;Ugochukwu O. Ugwu

    (2021)
    29 Citations
  • Accelerated derivative‐free method for nonlinear monotone equations with an application

    Abdulkarim Hassan Ibrahim;Poom Kumam;Poom Kumam;Auwal Bala Abubakar;Auwal Bala Abubakar;Abubakar Adamu;Abubakar Adamu

    (2021)
    23 Citations
  • Optimizing multigrid reduction-in-time and Parareal coarse-grid operators for linear advection

    Hans De Sterck;Robert D. Falgout;Stephanie Friedhoff;Oliver A. Krzysik

    (2021)
    23 Citations
  • Non‐Hermitian perturbations of Hermitian matrix‐sequences and applications to the spectral analysis of the numerical approximation of partial differential equations

    Giovanni Barbarino;Stefano Serra‐Capizzano;Stefano Serra‐Capizzano

    (2020)
    22 Citations
  • A novel direct method based on the Lucas multiwavelet functions for variable‐order fractional reaction‐diffusion and subdiffusion equations

    Haniye Dehestani;Yadollah Ordokhani;Mohsen Razzaghi

    (2021)
    21 Citations
  • Decompositions of third-order tensors: HOSVD, T-SVD, and Beyond

    Chao Zeng;Michael K. Ng

    (2020)
    16 Citations

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