Abraham N. Berman
#135,146
Most Influential Person Now
Abraham N. Berman's AcademicInfluence.com Rankings
Abraham N. Bermanmathematics Degrees
Mathematics
#6429
World Rank
#8906
Historical Rank
Linear Algebra
#12
World Rank
#14
Historical Rank
Measure Theory
#1340
World Rank
#1687
Historical Rank
Download Badge
Mathematics
Abraham N. Berman's Degrees
- PhD Mathematics University of California, Berkeley
- Masters Mathematics University of California, Berkeley
- Bachelors Mathematics University of California, Berkeley
Similar Degrees You Can Earn
Why Is Abraham N. Berman Influential?
(Suggest an Edit or Addition)Abraham N. Berman's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Nonnegative Matrices in the Mathematical Sciences (1979) (6653)
- Nonnegative matrices in dynamic systems (1979) (384)
- Completely Positive Matrices (2003) (188)
- On the Spectral Radius of Graphs with Cut Vertices (2001) (144)
- Positive diagonal solutions to the Lyapunov equations (1978) (139)
- Cones and Iterative Methods for Best Least Squares Solutions of Linear Systems (1974) (131)
- Cones, matrices and mathematical programming (1973) (118)
- Some properties of strong H-tensors and general H-tensors (2015) (90)
- CHAPTER 2 – NONNEGATIVE MATRICES (1979) (79)
- Matrix Diagonal Stability and Its Implications (1983) (74)
- SEMIGROUPS OF NONNEGATIVE MATRICES (1979) (59)
- Characterization of completely positive graphs (1993) (58)
- Monotonicity and the Generalized Inverse (1972) (56)
- Lower bounds for the eigenvalues of Laplacian matrices (2000) (52)
- Combinatorial Results on Completely Positive Matrices (1987) (48)
- The maximal cp-rank of rank k completely positive matrices (2003) (46)
- Proper Splittings of Rectangular Matrices (1976) (45)
- New results on the cp-rank and related properties of co(mpletely )positive matrices (2013) (44)
- An interior points algorithm for the convex feasibility problem (1983) (42)
- A note on the computation of the CP-rank (2006) (41)
- More on linear inequalities with applications to matrix theory (1971) (40)
- Matrix group monotonicity (1974) (39)
- Positive matrices associated with synchronised communication networks (2004) (37)
- Rank Factorization of Nonnegative Matrices (1973) (37)
- Inverses of nonnegative matrices (1974) (36)
- Sign patterns that allow eventual positivity (2009) (33)
- Eight types of matrix monotonicity (1976) (32)
- 2. Nonnegative Matrices (1994) (32)
- Bipartite completely positive matrices (1988) (30)
- Applications of symmetry to problem solving (2000) (28)
- Learning through teaching: The case of symmetry (2000) (27)
- Cross-cloning and antipodal graphs (1988) (27)
- SYMMETRIC NONNEGATIVE MATRICES (1979) (26)
- Consistency and Splittings (1976) (25)
- Complete positivity (2021) (24)
- Linear transformations that preserve certain positivity classes of matrices (1985) (23)
- Characterization of acyclic d-stable matrices☆ (1984) (22)
- Generalized Inverses of Linear Transformations (S. L. Campbell and C. D. Meyer, Jr.) (1981) (22)
- Localization of the spectra of P- and P0-Matrices (1983) (19)
- ALPS: Classes of stable and semipositive matrices (1978) (17)
- Linear equations over cones with interior: a solvability theorem with applications to matrix theory (1973) (16)
- Matrices and the linear complementarity problem (1981) (15)
- A generalization of irreducible monotonicity (1972) (15)
- Nonnegative matrices which are equal to their generalized inverse (1974) (14)
- Linear inequalities, mathematical programming and matrix theory (1971) (14)
- {0,1} Completely positive matrices (2005) (14)
- Remarks on completey positive matrices (1998) (14)
- Matrices with a transitive graph and inverse M-matrices (1985) (13)
- Notes on ω- and τ-matrices (1984) (12)
- 5 × 5 Completely positive matrices (2004) (12)
- On weakly irreducible nonnegative tensors and interval hull of some classes of tensors (2014) (12)
- A Note on degree antiregular graphs (2000) (11)
- CHAPTER 6 – M-MATRICES (1979) (10)
- A characterisation of common diagonal stability over cones (2012) (10)
- A Note on Pencils of Hermitian or Symmetric Matrices (1971) (9)
- COMPLETELY POSITIVE GRAPHS (1993) (9)
- Completely Positive Matrices: Real, Rational, and Integral (2018) (9)
- Inertia-preserving matrices (1991) (9)
- Non-negative Matrices and Digraphs (2009) (9)
- A LOWER BOUND FOR THE SECOND LARGEST LAPLACIAN EIGENVALUE OF WEIGHTED GRAPHS (2011) (9)
- On the Colin de Verdière number of graphs (2011) (8)
- Zero forcing for sign patterns (2013) (8)
- On the uniqueness of the lyapunov scaling factors (1987) (8)
- Linear feedback, irreducibility, and M-matrices (1987) (8)
- Bipartite density of cubic graphs (2003) (6)
- Matrices with zero line sums and maximal rank (1981) (6)
- On the inverse of the Hilbert matrix (2002) (6)
- Necessary conditions and a sufficient condition for the Fischer-Hadamard inequalities (1983) (6)
- Diagonal Scaling to an Orthogonal Matrix (1981) (6)
- Uniform and minimal {0,1} – cp matrices (2007) (5)
- Mathematical Programming over Cones (1973) (5)
- Literature Review : DYNAMIC DESIGN ANALYSIS VIA THE BUILDING BLOCK APPROACH Klosterman, A. L. and Lemon, J.R. Shock Vib. Bull. 42 (4), 97-104 (Jan. 1972) Refer to Abstract No. 72-192 (1973) (5)
- On the second eigenvalue of matrices associated with TCP (2006) (5)
- Complete multipartite graphs that are determined, up to switching, by their Seidel spectrum (2019) (5)
- SPN completable graphs (2016) (5)
- Lights Out on graphs (2019) (5)
- Definitions are important: the case of linear algebra (2016) (4)
- A family of graphs that are determined by their normalized Laplacian spectra (2018) (4)
- Complementarity Problem and Duality Over Convex Cones (1974) (4)
- A contribution to the connections between Fibonacci numbers and matrix theory (2013) (4)
- Copositive and Completely Positive Matrices (4)
- Cone reachability for nondiagonable linear differential systems (1986) (4)
- Bipartite Graphs With A Central Symmetry And (1,-1)-Matrices (1980) (4)
- Nonsingular Block Graphs: An Open Problem (2018) (3)
- Similarity classes and principal submatrices (2005) (3)
- Copositive Matrices and Completely Positive Matrices: C(O)P Matrices (2020) (3)
- More on Extremal Positive Semidefinite Doubly Stochastic Matrices (1992) (3)
- Algebraic connectivity of trees with a pendant edge of infinite weight. (2005) (3)
- Nonnegative matrices : Old problems, NewApplications (2006) (3)
- A note on simultaneously diagonalizable matrices (1998) (3)
- Cutting planes for semidefinite relaxations based on triangle-free subgraphs (2016) (2)
- m Applications of M-Matrices (1992) (2)
- Convex Cones and Linear Inequalities (1973) (2)
- Skew Hadamard Matrices of Order 16 (1982) (2)
- Completely positive house matrices (2012) (2)
- Strongly Inertia-Preserving Matrices (1994) (2)
- Spectrum preserving lower triangular completions - the nonnegative nilpotent case (1997) (2)
- Convexity, Graph Theory and Non-Negative Matrices (1984) (2)
- The Spectral Radius of a Non-Negative Matrix (1978) (2)
- Rank of weighted digraphs with blocks (2018) (1)
- Preface to the 2005 Haifa Matrix Theory Conference Proceedings (2006) (1)
- Consistency of linear inequalities over sets (1972) (1)
- Nonsingular (Vertex-Weighted) Block Graphs (2019) (1)
- ON TUCKER'S KEY THEOREM (1978) (1)
- GENERALIZED INVERSE-POSITIVITY (1979) (1)
- Set inertia-preserving matrices∗ † (1997) (1)
- Haifa 1985 conference on matrix theory (1986) (1)
- ITERATIVE METHODS FOR LINEAR SYSTEMS (1979) (1)
- INPUT–OUTPUT ANALYSIS IN ECONOMICS (1979) (1)
- 11. Supplement 1979–1993 (1994) (0)
- The length of a (0, 1) matrix (1978) (0)
- Copositivity and Complete Positivity (2018) (0)
- Haifa 1990 conference on matrix theory (1992) (0)
- Nurturing Students with High Mathematical Potential (2018) (0)
- FINITE MARKOV CHAINS (1979) (0)
- Copositivity and Complete Positivity Organised (2019) (0)
- THE LINEAR COMPLEMENTARITY PROBLEM (1979) (0)
- Index to the Mathematical Gazette (2002) (0)
- Notes on W- and T-Matrices (1984) (0)
- Cutting planes for semidefinite relaxations based on triangle-free subgraphs (2015) (0)
- The President Problems (2021) (0)
- Completely Positive Matrices: Real, Rational, and Integral (2018) (0)
- 7. Iterative Methods for Linear Systems (1994) (0)
- Short biography of Shmuel Friedland for his special LAA volume (2009) (0)
- Cones in Matrix Theory (1973) (0)
- Convergence rates for second moments of networks of long-lived TCP flows (2006) (0)
- MODE INTERACTION SEGREGATION FOR NONLINEAR DIFFERENTIAL EQUATIONS Giorgini, A. and Toebes, G. Intl. J. Nonlinear Mech. 6 (4), 549-561 (Aug. 1971) Refer to Abstract No. 71-1550 (1972) (0)
- Linear Inequalities Over Complex Cones (1973) (0)
- MATRICES WHICH LEAVE A CONE INVARIANT (1979) (0)
- Nonnegative Matrices in Dynamic Programming (W. H. M. Zijm) (1986) (0)
- Triangle-free graphs and completely positive matrices (2021) (0)
- On the centers of blocks of finite groups (2007) (0)
- Incidence Matrices of Boolean Functions and Zero-One Programming (1972) (0)
- Haifa 1988 conference on matrix theory (1989) (0)
- 8. Finite Markov Chains (1994) (0)
- Using Challenging Problems in Teaching Linear Algebra (2018) (0)
- Bicycles, Matchings and Trees (1996) (0)
- 10. The Linear Complementarity Problem (1994) (0)
- Strongly self-inverse weighted graphs (2020) (0)
This paper list is powered by the following services:
