World's Best Scientists 2026 revealed!
Linear Algebra and Its Applications
H-index 17

Linear Algebra and Its Applications

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 127 104 221 15

Additional Metrics

Number of Best Scientists*: 137
Documents by Best Scientists*: 257
Top 100 Ranked Scientists*: 3
SCIMAGO H-index: 114
SCIMAGO SJR: 0.977
Impact Factor: 1.1

Overview

Top Research Topics at Linear Algebra and its Applications?

The objective of Linear Algebra and its Applications is to combine knowledge in the areas of Combinatorics, Discrete mathematics, Matrix (mathematics), Pure mathematics and Eigenvalues and eigenvectors. Combinatorics research is concerned with Graph in particular. The research on Discrete mathematics discussed in it draws on the closely related field of Graph theory.

The journal facilitates discussions on Matrix (mathematics) that incorporate concepts from other fields like Invertible matrix and Rank (linear algebra). Linear Algebra and its Applications explores topics in Pure mathematics which can be helpful for research in disciplines like Mathematical analysis and Algebra. The journal focused on Mathematical analysis research but expanded to cover Applied mathematics.

The Eigenvalues and eigenvectors study tackled is a key component of adjacent topics in the area of Hermitian matrix.

  • Combinatorics (49.72%)
  • Discrete mathematics (28.54%)
  • Matrix (mathematics) (24.26%)

What are the most cited papers published in the journal?

  • Applications of second-order cone programming (1913 citations)
  • Completely positive linear maps on complex matrices (1902 citations)
  • Three-way arrays: rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics (1251 citations)

Research areas of the most cited articles at Linear Algebra and its Applications:

The most cited papers focus largely on the fields of Combinatorics, Discrete mathematics, Matrix (mathematics), Pure mathematics and Eigenvalues and eigenvectors. The journal articles hold forums on Combinatorics that merge themes from other disciplines such as Positive-definite matrix and Upper and lower bounds. The works on Matrix (mathematics) tackled in the most cited papers bring together disciplines like Mathematical analysis, Applied mathematics and Rank (linear algebra).

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

  • Mathematical analysis
  • Quantum mechanics
  • Algebra

The previous edition focused in particular on these issues:

The journal is mainly concerned with subjects like Combinatorics, Eigenvalues and eigenvectors, Pure mathematics, Matrix (mathematics) and Class (set theory). Topics in Combinatorics were tackled in line with various other fields like Ring (mathematics) and Matrix ring. It explores issues in Eigenvalues and eigenvectors which can be linked to other research areas like Positive-definite matrix, Symmetric matrix, Adjacency list and Interval (mathematics).

Linear Algebra and its Applications focuses on Pure mathematics but the discussions also offer insight into other areas such as Interlacing and Type (model theory). Matrix (mathematics) research presented in the journal encompasses a variety of subjects, including Invertible matrix, Unimodular matrix, Tournament, Characterization (mathematics) and Function (mathematics). The Class (set theory) works featured in it incorporate elements from Isometry, Unit (ring theory), Banach space, Property (philosophy) and Classical orthogonal polynomials.

The most cited articles from the last journal are:

  • Every 2-dimensional Banach space has the Mazur–Ulam property (1 citations)
  • Riordan posets and associated incidence matrices (0 citations)
  • A unified proof of interlacing properties of eigenvalues of totally positive matrices (0 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 Linear Algebra and its Applications (based on the number of publications) are:

  • Charles R. Johnson (161 papers) absent at the last edition,
  • Chi-Kwong Li (88 papers) absent at the last edition,
  • Miroslav Fiedler (81 papers) absent at the last edition,
  • Ravindra B. Bapat (71 papers) absent at the last edition,
  • Michael Neumann (70 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 Linear Algebra and its Applications (based on the number of publications) are:

  • College of William & Mary (306 papers) absent at the last edition,
  • Technion – Israel Institute of Technology (242 papers) absent at the last edition,
  • University of Wisconsin-Madison (232 papers) absent at the last edition,
  • Indian Statistical Institute (156 papers) absent at the last edition,
  • University of Ljubljana (149 papers) published 2 papers at the last edition, 2 less than at the previous 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 2022 edition, 33.33% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 20.00% were posted by at least one author from the top 10 institutions publishing in the journal. Another 20.00% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 20.00% of all publications and 40.00% 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

  • Generalized tensor function via the tensor singular value decomposition based on the T-product

    Yun Miao;Liqun Qi;Yimin Wei

    (2020)
    139 Citations
  • A new kind of Hermitian matrices for digraphs

    Bojan Mohar

    (2020)
    53 Citations
  • On the phases of a complex matrix

    Dan Wang;Wei Chen;Sei Zhen Khong;Li Qiu

    (2020)
    41 Citations
  • Convolutional proximal neural networks and Plug-and-Play algorithms

    Johannes Hertrich;Sebastian Neumayer;Gabriele Steidl

    (2021)
    37 Citations
  • A relation between a vertex-degree-based topological index and its energy

    (2021)
    35 Citations
  • Hoffman's ratio bound

    Willem H. Haemers

    (2021)
    35 Citations
  • Distance problems for dissipative Hamiltonian systems and related matrix polynomials

    Christian Mehl;Volker Mehrmann;Michal Wojtylak

    (2021)
    28 Citations
  • Rank of a Hadamard product

    Roger A. Horn;Zai Yang

    (2020)
    24 Citations
  • Metrics induced by Jensen-Shannon and related divergences on positive definite matrices

    Suvrit Sra

    (2021)
    23 Citations

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