Hans Schneider | Academic Influence

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Hans Schneider

Mathematics

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#4422

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Measure Theory

#1445

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#1810

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Mathematics

Hans Schneider 's Degrees

PhD Mathematics Princeton University
Masters Mathematics Princeton University
Bachelors Mathematics Princeton University

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Why Is Hans Schneider Influential?

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According to Wikipedia, Hans Schneider was a British-American mathematician, and James Joseph Sylvester Emeritus Professor at the University of Wisconsin–Madison. He was the first president of the International Matrix Group and its successor, the International Linear Algebra Society , which established the triennial Hans Schneider Prize in 1993. Schneider was a founding editor and then editor-in-chief of Linear Algebra and Its Applications and an Advisory Editor of the Electronic Journal of Linear Algebra.

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Hans Schneider '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

Algebraic and topological aspects of feedback stabilization (1980) (309)
Cross-Positive Matrices (1970) (203)
Positive operators and an inertia theorem (1965) (175)
Some theorems on the inertia of general matrices (1962) (164)
The diagonal equivalence of a nonnegative matrix to a stochastic matrix (1966) (156)
Applications of Perron–Frobenius theory to population dynamics (2001) (154)
The influence of the marked reduced graph of a nonnegative matrix on the Jordan form and on related properties: A survey (1986) (137)
Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir, and Cayley (1983) (135)
Positive operators on the n-dimensional ice cream cone (1975) (114)
Inertia theorems for matrices: The semidefinite case (1963) (107)
Generators, extremals and bases of max cones (2006) (103)
Theorems on M-splittings of a singular M-matrix which depend on graph structure☆ (1984) (100)
Scalings of matrices which have prespecified row sums and column sums via optimization (1989) (79)
On visualization scaling, subeigenvectors and Kleene stars in max algebra (2008) (74)
Cyclic and diagonal products on a matrix (1973) (68)
Max-Balancing Weighted Directed Graphs and Matrix Scaling (1991) (68)
Inverse M-Matrix Inequalities and Generalized Ultrametric Matrices (1995) (65)
Diagonal similarity and equivalence for matrices over groups with 0 (1975) (64)
The Hadamard-Fischer inequality for a class of matrices defined by eigenvalue monotonicity (1976) (63)
Line-sum-symmetric scalings of square nonnegative matrices (1985) (60)
Matrices and Linear Algebra (1974) (60)
Ranks of zero patterns and sign patterns (1993) (59)
The Elementary Divisors, Associated with 0, of a Singular M-matrix (1956) (58)
On the singular graph and the Weyr characteristic of anM-matrix (1978) (56)
The concepts of irreducibility and full indecomposability of a matrix in the works of Frobenius, König and Markov (1977) (48)
The spectrum of a nonlinear operator associated with a matrix (1969) (48)
Idempotents in group rings (1964) (47)
Algebraic Perron-Frobenius theory (1975) (46)
The Growth of Powers of a Nonnegative Matrix (1980) (45)
On the core of a cone-preserving map (1994) (42)
The bauer fields of values of a matrix (1964) (41)
Lyapunov Diagonal Semistability of Real H-Matrices (1985) (37)
Scaling Matrices to Prescribed Row and Column Maxima (1994) (37)
Matrices whose powers are $M$-matrices or $Z$-matrices (1987) (37)
An Inequality for Latent Roots Applied To Determinants with Dominant Principal Diagonal (1953) (36)
Orthogonality of matrices (2002) (36)
Flows on graphs applied to diagonal similarity and diagonal equivalence for matrices (1978) (35)
Primes in the Semigroup of Non-Negative Matrices. (1974) (34)
Principal Loop-Isotopes of Quasigroups (1966) (34)
Recent Advances in Matrix Theory (1965) (32)
Matrices hermitian for an absolute norm (1973) (31)
On the generalized nullspace of M-matrices and Z-matrices (1988) (31)
Distribution of Subdominant Eigenvalues of Random Matrices (2000) (30)
Monomial patterns in the sequence Akb (1987) (30)
APPLICATIONS OF MAX ALGEBRA TO DIAGONAL SCALING OF MATRICES (2005) (30)
Analytic functions of M-matrices and generalizations (1983) (29)
Note on the Fundamental Theorem on Irreducible Non-Negative Matrices (1958) (27)
Characterizations of optimal scalings of matrices (1980) (27)
Matrices diagonally similar to a symmetric matrix (1980) (26)
Recognizing Weakly Stable Matrices (2012) (26)
Wielandt's proof of the exponent inequality for primitive nonnegative matrices (2002) (25)
Bounds for the maximal characteristic root of a non-negative irreducible matrix (1960) (25)
On the existence of matrices with prescribed height and level characteristics (1991) (24)
Open problems on GKK tau-matrices (2001) (24)
Combinatorial Bases, Derived Jordan Sets and the Equality of the Height and Level Characteristics of an M-Matrix (1991) (23)
Olga Taussky-Todd's influence on matrix theory and matrix theorists (1977) (23)
The Recursive Inverse Eigenvalue Problem (2000) (23)
The Combinatorial Structure of the Generalized Nullspace of a Block Triangular Matrix (1989) (23)
Inertia theorems for matrices: the semi-definite case (1962) (22)
Bounded groups and norm-Hermitian matrices (1974) (22)
Group rings, semigroup rings and their radicals (1967) (22)
Extensions of Jordan Bases for Invariant Subspaces of a Matrix (1991) (22)
CSR expansions of matrix powers in max algebra (2009) (21)
On commuting matrices in max algebra and in classical nonnegative algebra (2010) (21)
Geometric Conditions for the Existence of Positive Eigenvalues of Matrices (1981) (20)
Height bases, level bases, and the equality of the height and the level characteristics of an M-matrix (1989) (20)
Comparison theorems for supremum norms (1962) (20)
Potter, Wielandt, and Drazin on the Matrix Equation AB = ωBA: New Answers to Old Questions (2004) (17)
Scalings of Vector Spaces and the Uniqueness of Lyapunov Scaling Factors (1985) (17)
Inverses of Unipathic M-Matrices (1996) (16)
Z-matrix equations in max-algebra, nonnegative linear algebra and other semirings (2011) (16)
Conditions for strict inequality in comparisons of spectral radii of splittings of different matrices (2003) (16)
Permanence of identities on algebras (1973) (16)
Pairs of matrices with a non-zero commutator (1955) (15)
The numerical range of a continuous mapping of a normed space (1968) (15)
Solutions of Z-matrix equations (1988) (15)
Characterizations and classifications of M-matrices using generalized nullspaces (1988) (15)
Matrices leaving a cone invariant (2007) (15)
The convergence of general products of matrices and the weak ergodicity of Markov chains (1999) (14)
On the inertia of intervals of matrices (1990) (14)
Cones, graphs and optimal scalings of matrices † (1979) (14)
Generalizations of bounds on the index of convergence to weighted digraphs (2013) (14)
Applications of the Gordan–Stiemke Theorem in Combinatorial Matrix Theory (1979) (14)
Theorems of the Alternative for Cones and Lyapunov Regularity of Matrices (1997) (13)
Inequalities for determinants and permanents (1973) (12)
Completions of partially ordered sets and universal algebras (1966) (12)
ON THE INVARIANT FACES ASSOCIATED WITH A CONE-PRESERVING MAP (1998) (12)
Algorithms for Testing the Diagonal Similarity of Matrices and Related Problems (1982) (12)
Inverse tridiagonal Z-matrices (1998) (11)
Determinantal Identities: Gauss, Schur, . . . (1983) (11)
Matrices similar on a Zariski-open set (1964) (11)
Matrices with a sequence of accretive powers (1986) (11)
The decomposition of cones in modules over ordered rings (1964) (11)
On the existence of sequences and matrices with prescribed partial sums of elements (1997) (11)
A conforming decomposition theorem, a piecewise linear theorem of the alternative, and scalings of matrices satisfying lower and upper bounds (1983) (10)
Two cores of a nonnegative matrix (2012) (10)
Matrix norms applied to weakly ergodic Markov chains (1957) (10)
Positive eigenvectors of order-preserving maps (1972) (10)
Applications of shortest path algorithms to matrix scalings (1984) (9)
Characterizations of Max-Balanced Flows (1992) (9)
Additive decomposition of nonnegative matrices with applications to permanents and scalingt (1988) (9)
Path Coverings of Graphs and Height Characteristics of Matrices (1993) (9)
Towers and Cycle Covers for Max-Balanced Graphs (1990) (9)
Hermitian Positive Semidefinite Matrices Whose Entries Are 0 Or 1 in Modulus (1998) (9)
Spectra of expansion graphs (1999) (9)
Hyperplanes and prime rings (1960) (9)
Group membership in rings and semigroups. (1961) (9)
Arithmetical and normal structure of finite groups [48] (1994) (8)
REGIONS OF EXCLUSION FOR THE LATENT ROOTS OF A MATRIX (1954) (8)
Algorithms for Computing Bases for the Perron Eigenspace with PrescribedNonnegativity and Combinatorial Properties (1994) (8)
A Pair of Matrices with Property P (1955) (8)
Matrix algebras and groups relatively bounded in norm (1959) (8)
Perron-Frobenius theory over real closed fields and fractional power series expansions (1995) (7)
On sets of eigenvalues of matrices with prescribed row sums and prescribed graph (2013) (7)
Comparison theorems using general cones for norms of iteration matrices (2005) (7)
Infinite permutation groups [79] (1994) (7)
Norms and Inequalities Related to Schur Products of Rectangular Matrices (1997) (7)
THEOREMS ON NORMAL MATRICES (1952) (7)
Topological Aspects of Sylvester's Theorem on the Inertia of Hermitian Matrices (1966) (7)
The Fuglede-Putnam theorem and normal products of matrices (1976) (7)
Principal Components of Minus M-Matrices (1992) (7)
ONE-SIDED SIMULTANEOUS INEQUALITIES AND SANDWICH THEOREMS FOR DIAGONAL SIMILARITY AND DIAGONAL EQUIVALENCE OF NONNEGATIVE MATRICES ∗ (2003) (7)
Allowable spectral perturbations of ZME-matrices☆☆☆ (1988) (7)
Matrices that commute with their derivative. On a letter from Schur to Wielandt (2012) (6)
Completely simple and inverse semigroups (1961) (6)
A symmetric numerical range for matrices (1976) (5)
The numerical range of a continuous mapping of a normed space (1968) (5)
Completely o-simple semigroups : an abstract treatment of the lattice of congruences (1969) (5)
Corrections and additions to: "principal components of minus m-matrices" (1993) (5)
Diagonal Norm Hermitian Matrices. (1974) (5)
Lyapunov Revisited: Variations on a Matrix Theme (1997) (5)
Approximability by Weighted Norms of the Structured and VolumetricSingular Values of a Class of Nonnegative Matrices (1997) (5)
Resolvents of minus M-matrices and splittings of M-matrices (1993) (4)
Integral bases and p-twisted digraphs (1995) (4)
Helmut Wielandt Mathematische Werke / Mathematical Works, Volume 1, Group Theory (1994) (4)
The group membership of a polynomial in an element algebraic over a field (1957) (4)
The Birkhoff—Egerváry—Kőnig theorem for matrices over lattice ordered abelian groups (1977) (4)
On the structure of composite groups [54] (1994) (4)
Characteristic Polynomials (1957) (4)
On Lyapunov scaling factors of real symmetric matrices (1988) (4)
On the visualisation scaling of matrices (2007) (4)
Determinantal Identities Revisited (1984) (4)
Bounds on Norms of Compound Matrices and on Products of Eigenvalues (1998) (4)
Minimization of norms and the spectral radius of a sum of nonnegative matrices under diagonal equivalence (1996) (4)
Block LU factorizations of M–matrices (1998) (4)
Matrices with non-negative elements (1952) (4)
Eigenvalue Interlacing for Certain Classes of Matrices with Real Principal Minors (1987) (3)
Diagonal Similarity and Equivalence for Matrices (1975) (3)
Characterizations of extreme normalized circulations satisfying linear constraints (1982) (3)
Equality classes of matrices (1988) (3)
Matrices that commute with their derivative. Research and historical note (2012) (3)
Some personal reminiscences of Olga Taussky-Todd (1998) (3)
WEDGES AND ASSOCIATED SETS OF COMPLEX NUMBERS (1988) (3)
Row Sums and Inverse Row Sums for Nonnegative Matrices (1994) (3)
Induced norms, states, and numerical ranges (2003) (3)
Finite permutation groups [53] (1994) (3)
On the Controllability of Matrix Pairs $(A,K)$ with K Positive Semidefinite (1984) (3)
On 2k-Twisted Graphs (1987) (2)
Partial norms and the convergence of general products of matrices (1998) (2)
Existence of matrices with prescribed Off-diagonal block element sums (1995) (2)
Linear mathematics; an introduction to linear algebra and linear differential equations (1973) (2)
Potter , Wielandt , and Drazin on the matrix equation AB = ωBA , with some new answers to old questions (2005) (2)
Sum decompositions of symmetric matrices (1994) (2)
Max-Balanced Flows (1990) (2)
ON THE MAX-ALGEBRAIC CORE OF A NONNEGATIVE MATRIX ∗ (2013) (2)
On the Geometry of Dual Pairs (1977) (2)
A Matrix Problem Concerning Projections (1956) (1)
On automorphisms of doubly transitive permutation groups [55] (1994) (1)
Characterizations of max-balanced (1992) (1)
Existence of matrices with prescribed off-diagonal block element maxima (1994) (1)
Haifa 1985 conference on matrix theory (1986) (1)
Spectral radii of certain iteration matrices and cycle means of digraphs (1993) (1)
Core of a matrix in max algebra and in nonnegative algebra: A survey (2019) (1)
A solution of a nonlinear system arising in spectral perturbation theory of nonnegative matrices (1997) (1)
The spectral radius in partially ordered algebras (2006) (1)
Applications of the Gordan-Stiemke Theorem in Combinatorial Matrix Theory (1980) (1)
Addendum to [6] (1994) (1)
On matrices for which norm bounds are attained (1998) (1)
Classification of Pairs Consisting of a Linear and a Semilinear Map* Dragomir 2. Djokovii: (2001) (0)
Permutation representations [59] (1994) (0)
Topics in the theory of composite groups [82a] (1994) (0)
Lösung der Aufgabe 338 (When are the irreducible components of a semigroup of matrices bounded?) [22] (1994) (0)
A pr 2 00 6 Generators , Extremals and Bases of Max Cones ∗ (2006) (0)
Recognising weakly stable systems (2011) (0)
Linear Algebra and Its Applications Bound Norms (0)
Factors of Groups* [58] (1994) (0)
R A ] 6 O ct 2 00 6 Generators , Extremals and Bases of Max Cones ∗ (2019) (0)
Semigroup Rings and Their Radicals (1967) (0)
Ph.D. Students of Helmut Wielandt (1994) (0)
Preface to Volume 1 (1994) (0)
Linear algebra and analysis (1996) (0)
Reprinted from the Proceedings oj the Cambridge Philosophical Society, Volume 57, Part 2, pp. 234-236, 1961 (1961) (0)
University of Birmingham Recognising weakly stable matrices (2012) (0)
Semi Stability Factors and Semi Factors * (2009) (0)
Matrices with sign symmetric diagonal shifts of scalar shifts (1987) (0)
Helmut Wielandt, 19 December 1910-14 February 2001: A personal memoir (2002) (0)
Some personal reminiscences of Olga Taussky (1998) (0)
Some personal reminiscences of Olga (1997) (0)
Workshop on Applied Linear Algebra in Honor of Ludwig Elsner Bielefeld Hh Orsaal H15 (1999) (0)
Typical Tensorlal Rank * (2001) (0)
Equilibria of Pairs of Nonlinear Maps Associated with Cones (2005) (0)
MBuIC m TOPOLOGICU ASPECTS OF FEEDBACK STABILIZATION (1980) (0)
COMPLETIONS OF PARTIALLY ORDERED SETS AND UNIVERSAL (1966) (0)
Potter, Wielandt, and Drazin on the matrix equation $AB=\omega BA$, with some new answers to old questions (2005) (0)
Max Algebras Representation of Maxitive Measures Tropical Approximation of Matrix Eigenvalues Characterization of Non-strictly-monotone Interval Eigenvectors in Max-min Algebra Tropical Rank and Beyond (2010) (0)
BALANCING OF A WEIGHTED DIRECTED GRAPH (2009) (0)
Zitnd 25 115 67 Praha 1 , Czechoslovakia and The University of South Carolina Department of Mathematics and Statistics Columbia , South Carolina 29208 (2002) (0)
Cones , Graphs and Optimal Scalings of Matrices t (1979) (0)
COMPLETELY 0-SIMPLE AND HOMOGENEOUS (2016) (0)
Ela Spectra of Expansion Graphs (0)
LAA is 40 years old (2008) (0)
On the weight adjacency matrix of convolutional codes (2008) (0)
Nonnegative Matrix Theory: Generalizations and Applications (2019) (0)
SPECTRAL THEORY OF REDUCIBLE NONNEGATIVE MATRICES: A GRAPH THEORETIC APPROACH (2010) (0)
Block LU factorization of M-matrices (1998) (0)
Special Issue of 'Linear algebra and its applications' dedicated to Prof. T. Ando, January, 2002 (2002) (0)
List of all speakers and titles at the conference “computational linear algebra in algebraic and related problems” (1993) (0)
On the minimum number of interrupts in time-slot assignments for time-division multiple-access systems (1991) (0)
MATRICES WHOSE POWERS ARE M-MATRICES (1987) (0)
A note on the concordance homotopy group of real projective space (1977) (0)

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