| # | Title | Journal | Year | Citations |
|---|
| 1 | Applications of second-order cone programming | Linear Algebra and Its Applications | 1998 | 1,924 |
| 2 | Completely positive linear maps on complex matrices | Linear Algebra and Its Applications | 1975 | 1,748 |
| 3 | Three-way arrays: rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics | Linear Algebra and Its Applications | 1977 | 1,188 |
| 4 | Laplacian matrices of graphs: a survey | Linear Algebra and Its Applications | 1994 | 1,106 |
| 5 | A new efficient algorithm for computing Gröbner bases (F4) | Journal of Pure and Applied Algebra | 1999 | 857 |
| 6 | The Zero-Divisor Graph of a Commutative Ring | Journal of Algebra | 1999 | 849 |
| 7 | Coloring of commutative rings | Journal of Algebra | 1988 | 781 |
| 8 | Quaternions and matrices of quaternions | Linear Algebra and Its Applications | 1997 | 761 |
| 9 | Factorization strategies for third-order tensors | Linear Algebra and Its Applications | 2011 | 714 |
| 10 | Free subgroups in linear groups | Journal of Algebra | 1972 | 659 |
| 11 | Prime rings satisfying a generalized polynomial identity | Journal of Algebra | 1969 | 656 |
| 12 | Equalities and Inequalities for Ranks of Matrices† | Linear and Multilinear Algebra | 1974 | 636 |
| 13 | Complementary pivot theory of mathematical programming | Linear Algebra and Its Applications | 1968 | 612 |
| 14 | A classifying invariant of knots, the knot quandle | Journal of Pure and Applied Algebra | 1982 | 546 |
| 15 | Nonnegative matrix factorization for spectral data analysis | Linear Algebra and Its Applications | 2006 | 537 |
| 16 | ILUT: A dual threshold incomplete LU factorization | Numerical Linear Algebra With Applications | 1994 | 530 |
| 17 | Computing a nearest symmetric positive semidefinite matrix | Linear Algebra and Its Applications | 1988 | 516 |
| 18 | Gorenstein homological dimensions | Journal of Pure and Applied Algebra | 2004 | 505 |
| 19 | Which graphs are determined by their spectrum? | Linear Algebra and Its Applications | 2003 | 479 |
| 20 | Chaotic relaxation | Linear Algebra and Its Applications | 1969 | 462 |
| 21 | The computation of Kronecker's canonical form of a singular pencil | Linear Algebra and Its Applications | 1979 | 449 |
| 22 | Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices | Linear Algebra and Its Applications | 1980 | 448 |
| 23 | Positive definite completions of partial Hermitian matrices | Linear Algebra and Its Applications | 1984 | 448 |
| 24 | Central elements in core-free groups | Journal of Algebra | 1966 | 420 |
| 25 | Prime graph components of finite groups | Journal of Algebra | 1981 | 416 |
| 26 | Representation theory of artin algebras iii almost split sequences | Communications in Algebra | 1975 | 412 |
| 27 | Deformations of Lie algebras using σ-derivations | Journal of Algebra | 2006 | 407 |
| 28 | On the classification of inductive limits of sequences of semisimple finite-dimensional algebras | Journal of Algebra | 1976 | 400 |
| 29 | Totally positive matrices | Linear Algebra and Its Applications | 1987 | 399 |
| 30 | Signless Laplacians of finite graphs | Linear Algebra and Its Applications | 2007 | 380 |
| 31 | Monotone metrics on matrix spaces | Linear Algebra and Its Applications | 1996 | 379 |
| 32 | Homology and central series of groups | Journal of Algebra | 1965 | 375 |
| 33 | Preprojective modules over artin algebras | Journal of Algebra | 1980 | 369 |
| 34 | Robust Perron cluster analysis in conformation dynamics | Linear Algebra and Its Applications | 2005 | 364 |
| 35 | Derived categories and stable equivalence | Journal of Pure and Applied Algebra | 1989 | 361 |
| 36 | Fast low-rank modifications of the thin singular value decomposition | Linear Algebra and Its Applications | 2006 | 359 |
| 37 | A theory of pseudoskeleton approximations | Linear Algebra and Its Applications | 1997 | 355 |
| 38 | Eigenvalues of the Laplacian of a graph∗ | Linear and Multilinear Algebra | 1985 | 354 |
| 39 | Representation Theory of Artin Algebras II | Communications in Algebra | 1974 | 352 |
| 40 | The structure of Hopf algebras with a projection | Journal of Algebra | 1985 | 342 |
| 41 | The block conjugate gradient algorithm and related methods | Linear Algebra and Its Applications | 1980 | 340 |
| 42 | Dynamical systems that sort lists, diagonalize matrices, and solve linear programming problems | Linear Algebra and Its Applications | 1991 | 340 |
| 43 | Linear free resolutions and minimal multiplicity | Journal of Algebra | 1984 | 337 |
| 44 | M-matrix characterizations.I—nonsingular M-matrices | Linear Algebra and Its Applications | 1977 | 336 |
| 45 | Concavity of certain maps on positive definite matrices and applications to Hadamard products | Linear Algebra and Its Applications | 1979 | 327 |
| 46 | TT-cross approximation for multidimensional arrays | Linear Algebra and Its Applications | 2010 | 324 |
| 47 | Laplacian energy of a graph | Linear Algebra and Its Applications | 2006 | 320 |
| 48 | Some polyhedra related to combinatorial problems | Linear Algebra and Its Applications | 1969 | 319 |
| 49 | Manifestations of the Schur complement | Linear Algebra and Its Applications | 1974 | 318 |
| 50 | Rank revealing QR factorizations | Linear Algebra and Its Applications | 1987 | 317 |
| 51 | Centralizing Mappings and Derivations in Prime Rings | Journal of Algebra | 1993 | 315 |
| 52 | Bounded semigroups of matrices | Linear Algebra and Its Applications | 1992 | 312 |
| 53 | Interlacing eigenvalues and graphs | Linear Algebra and Its Applications | 1995 | 312 |
| 54 | Strong detectability and observers | Linear Algebra and Its Applications | 1983 | 309 |
| 55 | Systems of linear interval equations | Linear Algebra and Its Applications | 1989 | 307 |
| 56 | Minimal resolutions of some monomial ideals | Journal of Algebra | 1990 | 304 |
| 57 | Auslander-reiten sequences with few middle terms and applications to string algebrass | Communications in Algebra | 1987 | 302 |
| 58 | Weak Hopf Algebras | Journal of Algebra | 1999 | 302 |
| 59 | Crystal Graphs for Representations of the q-Analogue of Classical Lie Algebras | Journal of Algebra | 1994 | 301 |
| 60 | The nonexistence of certain generalized polygons | Journal of Algebra | 1964 | 300 |
| 61 | Schur complements and statistics | Linear Algebra and Its Applications | 1981 | 300 |
| 62 | On the minimal degrees of projective representations of the finite Chevalley groups | Journal of Algebra | 1974 | 296 |
| 63 | Optimal frames for erasures | Linear Algebra and Its Applications | 2004 | 293 |
| 64 | Perpendicular categories with applications to representations and sheaves | Journal of Algebra | 1991 | 292 |
| 65 | Sets of matrices all infinite products of which converge | Linear Algebra and Its Applications | 1992 | 289 |
| 66 | Eigenvalues and eigenvectors of symmetric centrosymmetric matrices | Linear Algebra and Its Applications | 1976 | 287 |
| 67 | Differential identities of prime rings | Algebra and Logic | 1978 | 287 |
| 68 | Almost split sequences in subcategories | Journal of Algebra | 1981 | 285 |
| 69 | A framework for the solution of the generalized realization problem | Linear Algebra and Its Applications | 2007 | 282 |
| 70 | Generalized conjugate-gradient acceleration of nonsymmetrizable iterative methods | Linear Algebra and Its Applications | 1980 | 280 |
| 71 | Duality between Quasi-Symmetrical Functions and the Solomon Descent Algebra | Journal of Algebra | 1995 | 279 |
| 72 | Old and new results on algebraic connectivity of graphs | Linear Algebra and Its Applications | 2007 | 279 |
| 73 | Coherence for compact closed categories | Journal of Pure and Applied Algebra | 1980 | 278 |
| 74 | Core inverse of matrices | Linear and Multilinear Algebra | 2010 | 276 |
| 75 | Modulus-based matrix splitting iteration methods for linear complementarity problems | Numerical Linear Algebra With Applications | 2010 | 274 |
| 76 | Identification of almost invariant aggregates in reversible nearly uncoupled Markov chains | Linear Algebra and Its Applications | 2000 | 270 |
| 77 | The vec-permutation matrix, the vec operator and Kronecker products: a review | Linear and Multilinear Algebra | 1981 | 268 |
| 78 | A scalable dual-primal domain decomposition method | Numerical Linear Algebra With Applications | 2000 | 267 |
| 79 | Subgroups of prime power index in a simple group | Journal of Algebra | 1983 | 266 |
| 80 | A lower bound for the smallest singular value of a matrix | Linear Algebra and Its Applications | 1975 | 265 |
| 81 | Generalized derivations in rings* | Communications in Algebra | 1998 | 265 |
| 82 | Rings and modules of quotients | Journal of Algebra | 1969 | 264 |
| 83 | Hadamard products and multivariate statistical analysis | Linear Algebra and Its Applications | 1973 | 264 |
| 84 | A new class of Lie algebras | Journal of Algebra | 1968 | 263 |
| 85 | Beck′s Coloring of a Commutative Ring | Journal of Algebra | 1993 | 263 |
| 86 | Spectra of uniform hypergraphs | Linear Algebra and Its Applications | 2012 | 263 |
| 87 | Stability of discrete linear inclusion | Linear Algebra and Its Applications | 1995 | 262 |
| 88 | Local systems of vertex operators, vertex superalgebras and modules | Journal of Pure and Applied Algebra | 1996 | 262 |
| 89 | A unifying approach to some old and new theorems on distribution and clustering | Linear Algebra and Its Applications | 1996 | 261 |
| 90 | Computational experience with a primal-dual interior point method for linear programming | Linear Algebra and Its Applications | 1991 | 260 |
| 91 | CHEVIE ? A system for computing and processing generic character tables | Applicable Algebra in Engineering, Communications and Computing | 1996 | 257 |
| 92 | Generalized derivations of left faithful rings | Communications in Algebra | 1999 | 257 |
| 93 | Properties of Euclidean and non-Euclidean distance matrices | Linear Algebra and Its Applications | 1985 | 256 |
| 94 | The Leavitt path algebra of a graph | Journal of Algebra | 2005 | 256 |
| 95 | Recent computational developments in Krylov subspace methods for linear systems | Numerical Linear Algebra With Applications | 2007 | 256 |
| 96 | THE STRUCTURE OF RESIDUATED LATTICES | International Journal of Algebra and Computation | 2003 | 253 |
| 97 | Representations of K-species and bimodules | Journal of Algebra | 1976 | 251 |
| 98 | An analysis of completely-positive trace-preserving maps on M2 | Linear Algebra and Its Applications | 2002 | 251 |
| 99 | Numerical solution of large‐scale Lyapunov equations, Riccati equations, and linear‐quadratic optimal control problems | Numerical Linear Algebra With Applications | 2008 | 251 |
| 100 | The Algebra of Multiple Harmonic Series | Journal of Algebra | 1997 | 250 |
