Charles Royal Johnson
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American mathematician
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Mathematics
Charles Royal Johnson's Degrees
- PhD Mathematics Stanford University
- Masters Mathematics Stanford University
- Bachelors Mathematics University of Chicago
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Why Is Charles Royal Johnson Influential?
(Suggest an Edit or Addition)According to Wikipedia, Charles Royal Johnson is an American mathematician specializing in linear algebra. He is a Class of 1961 professor of mathematics at College of William and Mary. The books Matrix Analysis and Topics in Matrix Analysis, co-written by him with Roger Horn, are standard texts in advanced linear algebra.
Charles Royal Johnson'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
- Matrix analysis (1985) (17755)
- Topics in Matrix Analysis (1991) (8195)
- Positive definite completions of partial Hermitian matrices (1984) (598)
- Totally Nonnegative Matrices (2011) (232)
- Inverse M-matrices☆ (1982) (163)
- The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree (1999) (151)
- Row Stochastic Matrices Similar to Doubly Stochastic Matrices (1981) (148)
- Sufficient conditions for D-stability (1974) (127)
- Right-left asymmetry in an eigenvector ranking procedure (1979) (119)
- NUMERICAL DETERMINATION OF THE FIELD OF VALUES OF A GENERAL COMPLEX MATRIX (1978) (102)
- A Gersgorin-type lower bound for the smallest singular value (1989) (94)
- The Parter-Wiener Theorem: Refinement and Generalization (2003) (93)
- The Euclidian Distance Matrix Completion Problem (1995) (84)
- Completely positive matrices associated with M-matrices (1994) (81)
- The real and the symmetric nonnegative inverse eigenvalue problems are different (1996) (79)
- On the Minimum Rank Among Positive Semidefinite Matrices with a Given Graph (2008) (77)
- Ranks of Completions of Partial Matrices (1989) (77)
- ON THE MINIMUM NUMBER OF DISTINCT EIGENVALUES FOR A SYMMETRIC MATRIX WHOSE GRAPH IS A GIVEN TREE (2002) (74)
- The perron root of a weighted geometric mean of nonneagative matrices (1988) (72)
- On Matrices with Perron–Frobenius Properties and Some Negative Entries (2004) (67)
- A note on cospectral graphs (1980) (66)
- Lower bounds for the spread of a matrix (1985) (63)
- Determinantal formulae for matrix completions associated with chordal graphs (1989) (61)
- Convex sets of nonsingular and P:–Matrices (1995) (59)
- The Real Positive Definite Completion Problem: Cycle Completability (1996) (58)
- Inverse eigenvalue problems and lists of multiplicities of eigenvalues for matrices whose graph is a tree: the case of generalized stars and double generalized stars (2003) (57)
- The singular values of a Hadamard product : a basic inequality (1987) (57)
- The graphs for which the maximum multiplicity of an eigenvalue is two (2007) (56)
- On the possible multiplicities of the eigenvalues of a Hermitian matrix whose graph is a tree (2002) (54)
- Inverse M-matrices, II (2011) (53)
- Uniqueness of matrix square roots and an application (2001) (53)
- The completion problem for M-Matrices and Inverse M-Matrices (1996) (53)
- Hermitian Matrices, Eigenvalue Multiplicities, and Eigenvector Components (2005) (52)
- Connections between the real positive semidefinite and distance matrix completion problems (1995) (52)
- A trace inequality for M-matrices and the symmetrizability of a real matrix by a positive diagonal matrix (1985) (50)
- Further lower bounds for the smallest singular value (1998) (48)
- Sub-direct sums and positivity classes of matrices (1999) (47)
- Sign patterns that require real, nonreal or pure imaginary eigenvalues (1991) (47)
- On the relative position of multiple eigenvalues in the spectrum of an Hermitian matrix with a given graph (2003) (45)
- The combinatorially symmetric P-matrix completion problem (1996) (44)
- Eigenvalues of Words in Two Positive Definite Letters (2001) (43)
- Spectral theory of copositive matrices (2005) (41)
- Inertia possibilities for completions of partial hermitian matrices (1984) (41)
- Complementary bases in symplectic matrices and a proof that their determinant is one (2006) (40)
- The general totally positive matrix completion problem with few unspecified entries. (2000) (39)
- A Simple Estimate of the Condition Number of a Linear System (1995) (37)
- Mathematical aspects of the relative gain array ( AΦHA —T ) (1986) (37)
- Sign patterns of inverse nonnegative matrices (1983) (35)
- An Interior-Point Method for Approximate Positive Semidefinite Completions (1998) (33)
- The potentially stable tree sign patterns for dimensions less than five (1989) (33)
- The real positive definite completion problem for a simple cycle (1993) (33)
- Total positivity of sums, Hadamard products and Hadamard powers: Results and counterexamples (2016) (32)
- Monotonicity properties of norms (1991) (32)
- A Hadamard product involving N-matrices (1977) (31)
- A generalization of Sylvester's law of inertia (2001) (31)
- P-matrix completions under weak symmetry assumptions (2000) (31)
- Spectra of matrices with P-matrix powers (1986) (30)
- On the minimum semidefinite rank of a simple graph (2011) (30)
- Constructing copositive matrices from interior matrices (2008) (30)
- Estimation of the maximum multiplicity of an eigenvalue in terms of the vertex degrees of the graph of a matrix (2002) (30)
- The copositive completion problem (2005) (30)
- Hadamard powers and totally positive matrices (2007) (30)
- How Large are Transitive Simple Majority Domains (1984) (29)
- Spanning-tree extensions of the Hadamard-Fischer inequalities (1985) (29)
- Completion of partial matrices to contractions (1986) (29)
- Sign patterns of inverse-positive matrices (1979) (28)
- The Relationship between AB and BA (1996) (28)
- Second, third, and fourth order D-stability (1974) (28)
- Normality and the numerical range (1976) (27)
- A Semi-Definite Lyapunov Theorem and the Characterization of Tridiagonal D-Stable Matrices (1982) (27)
- Hadamard products of matrices (1974) (27)
- Nested sequences of principal minors and potential stability (1997) (26)
- Linear Maps on Hermitian Matrices: The Stabilizer of an Inertia Class (1985) (26)
- Accretive matrix products (1975) (26)
- Path product matrices (1999) (26)
- On the reduction of pairs of hermitian or symmetric matrices to diagonal form by congruence (1986) (26)
- Closure properties of certain positivity classes of matrices under various algebraic operations (1987) (26)
- An inequality for matrices whose symmetric part is positive definite (1973) (26)
- Linear transformations on that preserve the Ky Fan k-norm and a remarkable special case when (n k) = (4, 2) (1988) (25)
- The spectral radius of a product of nonnegative matrices (1990) (25)
- Some sign patterns that preclude matrix stability (1988) (25)
- The NIEP (2017) (25)
- Hadamard and conventional submultiplicativity for unitarily invariant norms on matrices (1987) (24)
- The completely positive and doubly nonnegative completion problems (1998) (23)
- Conditions for the positivity of determinants (1996) (23)
- Eigenvalue inequalities for principal submatrices (1981) (23)
- Linear transformations that preserve certain positivity classes of matrices (1985) (23)
- A combinatorial converse to the Perron-Frobenius theorem (1990) (23)
- Notes on inverse M-matrices (1987) (23)
- Necessary And Sufficient Conditions For Existence of the LU Factorization of an Arbitrary Matrix (2005) (23)
- Determinantal formulae for matrices with sparse inverses (1984) (22)
- The No Long Odd Cycle Theorem for Completely Positive Matrices (1996) (22)
- Symmetric Word Equations in Two Positive Definite Letters (2002) (22)
- Positive, path product, and inverse M-matrices (2007) (22)
- Some outstanding problems in the theory of matrices (1982) (21)
- Positive definite completions and determinant maximization (1999) (21)
- Spectral variation under congruence (2001) (21)
- CONVEX SETS OF NONSINGULAR AND P – MATRICES ( Linear and Multilinear Algebra (2000) (20)
- Inverse spectral problems for collections of leading principal submatrices of tridiagonal matrices (2016) (20)
- Sparsity analysis of the QR factorization (1993) (20)
- Sign patterns that require repeated eigenvalues (1993) (19)
- Perron spectratopes and the real nonnegative inverse eigenvalue problem (2015) (19)
- Sign controllability of a nonnegative matrix and a positive vector (1993) (19)
- Path Product Matrices and Eventually Inverse M-matrices (2007) (19)
- Minimum rank completions (1991) (19)
- Nonnegative Solutions of a Quadratic Matrix Equation Arising from Comparison Theorems in Ordinary Differential Equations (1985) (19)
- Parametrization of the Matrix Symplectic Group and Applications (2009) (19)
- Multiplicative principal-minor inequalities for totally nonnegative matrices (2003) (18)
- Linear transformations that map the P-matrices into themselves (1986) (18)
- Structural conditions for cycle completable graphs (1996) (18)
- Operator Matrices with Chordal Inverse Patterns (1992) (18)
- Eigenvalues, Multiplicities and Graphs (2018) (17)
- On the Positivity of the Coefficients of a Certain Polynomial Defined by Two Positive Definite Matrices (2005) (17)
- Convex Sets of Hermitian Matrices with Constant Inertia (1985) (17)
- Matrices and spectra satisfying the Newton inequalities (2009) (17)
- New results about semi-positive matrices (2016) (16)
- Linearly constrained positive definite completions (1991) (16)
- Linear preservers of semi-positive matrices (2016) (16)
- Universal realizability of spectra with two positive eigenvalues (2018) (15)
- Spectral variation under congruence for a nonsingular matrix with 0 on the boundary of its field of values (2003) (15)
- Improving Hadamard's inequality * (1984) (15)
- Matrices whose hermitian part is positive definite (1972) (15)
- The Hadamard core of the totally nonnegative matrices (2001) (14)
- Dominant eigenvalues under trace-preserving diagonal perturbations (1994) (14)
- Spectral Structures of Irreducible Totally Nonnegative Matrices (2000) (14)
- Inherited matrix entries: LU factorizations (1989) (14)
- Evaluation Techniques for Paired Ratio-Comparison Matrices in a Hierarchical Decision Model (1988) (14)
- Characterization of Product Inequalities for Principal Minors of M-Matrices and Inverse M-Matrices (1998) (14)
- Linear aggregation of input-output models (1989) (14)
- Possible spectra of totally positive matrices (1984) (13)
- The structure of matrices with a maximum multiplicity eigenvalue (2008) (13)
- The symmetric inverse M-matrix completion problem (1999) (13)
- When the positivity of the leading principal minors implies the positivity of all principal minors of a matrix (2013) (13)
- The change in multiplicity of an eigenvalue of a Hermitian matrix associated with the removal of an edge from its graph (2011) (13)
- Self-Inverse Sign Patterns (1993) (13)
- D-stability and real and complex quadratic forms (1974) (13)
- Matrices with chordal inverse zero-patterns (1993) (13)
- Gersgorin sets and the field of values (1974) (13)
- Almost principal minors of inverse M-matrices (2001) (13)
- Equilibrants, semipositive matrices, calculation and scaling☆ (2011) (13)
- Patterns that allow given row and column sums (2000) (12)
- A Geršgorin inclusion set for the field of values of a finite matrix (1973) (12)
- Determinantal inequalities for positive definite matrices (1993) (12)
- Ordered multiplicity lists for eigenvalues of symmetric matrices whose graph is a linear tree (2014) (12)
- The positive definite completion problem relative to a subspace (2000) (12)
- The possible numbers of zeros in a orthogonal matrix (1999) (12)
- Compressions of Totally Positive Matrices (2006) (12)
- Nonnegative matrices, zero patterns, and spectral inequalities (1989) (12)
- Line Insertions in Totally Positive Matrices (2000) (12)
- Completion of Toeplitz partial contractions (1988) (12)
- Elementary bidiagonal factorizations (1999) (12)
- Olga, matrix theory and the Taussky unification problem (1998) (12)
- Converse to the Parter-Wiener theorem: The case of non-trees (2006) (12)
- Combinatorial matrix analysis: An overview (1988) (12)
- Scaling of symmetric matrices by positive diagonal congruence (2009) (11)
- Branch duplication for the construction of multiple eigenvalues in an Hermitian matrix whose graph is a tree (2008) (11)
- Unitarily achievable zero patterns and traces of words in A and A (2007) (11)
- Continuity properties of vectors realizing points in the classical field of values (2013) (11)
- Inequalities relating unitarily invariant norms and the numerical radius (1988) (11)
- Critical Graphs for the Positive Definite Completion Problem (1998) (11)
- A matricial view of the Karpelevič Theorem (2016) (11)
- The Euclidean distance completion problem: cycle completability (1995) (11)
- Strong forms of nonsingularity (1992) (11)
- A Class of M-Matrices with Tree Graphs (1983) (10)
- The change in eigenvalue multiplicity associated with perturbation of a diagonal entry (2012) (10)
- Inequalities involving the numerical radius (1994) (10)
- On the diagonal scaling of Euclidean distance matrices to doubly stochastic matrices (2005) (10)
- Completing a block diagonal matrix with a partially prescribed inverse (1995) (10)
- Eigenvalue assignments and the two largest multiplicities in a Hermitian matrix whose graph is a tree (2010) (10)
- A characterization of the nonlinearity of d-stability (1975) (10)
- Geometric Parter–Wiener, etc. theory (2018) (10)
- Multiple LU factorizations of a singular matrix (2006) (10)
- Solution theory for complete bilinear systems of equations (2009) (10)
- Possible inertia combinations in the Stein and Lyapunov equations (1995) (10)
- Inherited matrix entries: principal submatrices of the inverse (1987) (9)
- Functional characterizations of the field of values and the convex hull of the spectrum (1976) (9)
- Multiplicative perturbations of stable and convergent operators (1998) (9)
- The inertia of a product of two hermitian matrices (1977) (9)
- The implicit construction of multiplicity lists for classes of trees and verification of some conjectures (2013) (9)
- Rank decomposition under combinatorial constraints (1997) (9)
- Equal entries in totally positive matrices (2013) (9)
- The relationship between Hadamard and conventional multiplication for positive definite matrices (1987) (9)
- Inequalities for a complex matrix whose real part is positive definite (1975) (9)
- An inclusion region for the field of values of a doubly stochastic matrix based on its graph (1978) (9)
- Principal Submatrices, Geometric Multiplicities, and Structured Eigenvectors (1995) (9)
- Implicit construction of multiple eigenvalues for trees (2009) (9)
- Nonpositive Eigenvalues of Hollow, Symmetric, Nonnegative Matrices (2013) (9)
- Local inversion of matrices with sparse inverses (1998) (9)
- Maximizing the spectral radius of fixed trace diagonal perturbations of nonnegative matrices (1996) (9)
- Ruling out certain 5-spectra for the symmetric nonnegative inverse eigenvalue problem ☆ (2017) (8)
- Asymmetric TP and TN completion problems (2013) (8)
- Nonnegative realizability with Jordan structure (2020) (8)
- Inequalities for single-hook immanants (1988) (8)
- Powers of matrices with positive definite real part (1975) (8)
- The cycle completable graphs for the completely positive and doubly nonnegative completion problems (2000) (8)
- Vanishing minor conditions for inverse zero patterns (1993) (8)
- Generalized Matrix Function Inequalities on M‐Matrices (1998) (8)
- Multiplicativity and compatibility of generalized matrix norms (1977) (8)
- An inertia formula for Hermitian matrices with sparse inverses (1992) (8)
- The classification of edges and the change in multiplicity of an eigenvalue of a real symmetric matrix resulting from the change in an edge value (2017) (8)
- Numerical ranges of principal submatrices (1981) (8)
- A Lyapunov Theorem for Angular Cones (1974) (8)
- An extension of flanders theorem to several matrices (1997) (8)
- General resolution of a convergence question of L. Krukier (2009) (8)
- Numerical ranges of principal submatrices (1981) (8)
- The extent to which triangular sub-patterns explain minimum rank (2008) (8)
- A Characterization of Positive Matrices (2005) (8)
- Complex eigenvalues of a non-negative matrix with a specified graph II (1979) (8)
- The maximum permanent of a 3-by-3 positive semidefinite matrix, given the eigenvalues (1989) (7)
- Linear maps preserving regional eigenvalue location (1992) (7)
- Explicit Jordan form for certain block triangular matrices. II (1991) (7)
- The critical exponent for continuous conventional powers of doubly nonnegative matrices (2010) (7)
- Intervals of Inverse M-Matrices (2002) (7)
- Interpolation of D-stability and sign stability (1988) (7)
- Principal Minor Sums of (A+tB)m (2005) (7)
- TOTALLY POSITIVE COMPLETIONS FOR MONOTONICALLY LABELED BLOCK CLIQUE GRAPHS (2009) (7)
- A note on maximizing the permanent of a positive definite hermitian matrix, given the eigenvalues ∗ (1986) (7)
- Solution theory for systems of bilinear equations (2013) (7)
- Spectra with positive elementary symmetric functions (1993) (7)
- Chordal Inheritance Principles and Positive Definite Completions of Partial Matrices over Function Rings (1988) (7)
- Positive Definite Toeplitz Completions (1999) (7)
- Matrix Classes That Generate All Matrices with Positive Determinant (2003) (7)
- Sign patterns occurring in orthogonal matrices (1998) (6)
- The structure of distances in networks (1986) (6)
- The ratio field of values (2011) (6)
- Largest singular value submultiplicativity (1991) (6)
- Undirected graphs of Hermitian matrices that admit only two distinct eigenvalues (2014) (6)
- POSITIVE EIGENVALUES AND TWO-LETTER GENERALIZED WORDS ∗ (2005) (6)
- Expected-value norms on matrices (1990) (6)
- Linear interpolation problems for matrix classes and a transformational characterization of M-matrices (2001) (6)
- Two submatrix properties of certain induced norms (1975) (6)
- Ranks of permutative matrices (2016) (6)
- Computation of the field of values of a 2 x 2 matrix (1974) (6)
- How bad is Hadamard determinantal bound (1974) (6)
- A note on matrix solutions to $A=XY-YX$ (1974) (6)
- Power inequalities and spectral dominance of generalized matrix norms (1979) (6)
- Optimal Gersgorin-style estimation of extremal singular values (2005) (6)
- Determinantal formulae for matrices with sparse inverses, II: asymmetric zero patterns (1986) (6)
- Perron eigenvectors and the symmetric transportation polytope (1991) (6)
- Aggregation of Markov processes: Axiomatization (1989) (6)
- Spectrally arbitrary factorization: the nonderogatory case (2006) (5)
- Possible line sums for a qualitative matrix (2001) (5)
- Compression and hadamard power inequalities (1985) (5)
- Line-Sum Symmetry via the DomEig Algorithm (2000) (5)
- Counterexample to a conjecture of mehta regarding permanental maximization (1989) (5)
- Successively Ordered Elementary Bidiagonal Factorization (2000) (5)
- Semidefiniteness without real symmetry (2000) (5)
- Multiplicity Lists for the Eigenvalues of Symmetric Matrices with a Given Graph (2007) (5)
- The graphs of the unambiguous entries in the product of two (+, −) sign pattern matrices (1997) (5)
- Positive Eigenvalues of Generalized Words in Two Hermitian Positive Definite Matrices (2005) (5)
- The relation between the diagonal entries and the eigenvalues of a symmetric matrix, based upon the sign pattern of its off-diagonal entries (2013) (5)
- An inequality for doubly stochastic matrices (1976) (5)
- Adjacent edge conditions for the totally nonnegative completion problem (2008) (5)
- Eigenvalue multiplicities in principal submatrices (2004) (5)
- A local Lyapunov theorem and the stability of sums (1976) (5)
- Classification of vertices and edges with respect to the geometric multiplicity of an eigenvalue in a matrix, with a given graph, over a field (2018) (5)
- M-matrix products having positive principal minors (1984) (5)
- Sign patterns that allow minimal semipositivity (1995) (5)
- Symmetric matrices associated with a nonnegative matrix (1990) (5)
- On the Possible Ranks among Matrices with a given Pattern (2010) (5)
- Rectangular submatrices of inverse M-matrices and the decomposition of a positive matrix as a sum (2005) (4)
- Sign determinacy of M-matrix minors (1987) (4)
- Majorization monotonicity of symmetrized fischer products (1993) (4)
- Sign determinancy in LU factorization of P-matrices (1995) (4)
- Congruential automorphism groups of general matrices (2004) (4)
- Classification of edges in a general graph associated with the change in multiplicity of an eigenvalue (2020) (4)
- Field of values and spectra of positive definite multiples (1974) (4)
- Permanental dominance of the normalized single-hook immanants on the positive semi-definite matrices (1987) (4)
- Uniqueness of matrix square roots under a numerical range condition (2002) (4)
- TP_k completions of partial matrices with one unspecified entry (2014) (4)
- Patterns, linesums, and symmetry☆ (2002) (4)
- On a Generalized Matching Problem Arising in Estimating the Eigenvalue Variation of Two Matrices (1983) (4)
- The Doubly Stochastic Single Eigenvalue Problem: A Computational Approach (2019) (4)
- The trees for which maximum multiplicity implies the simplicity of other eigenvalues (2006) (4)
- A sufficient condition for matrix stability (1974) (4)
- On the number of unitary similarity classes in a C-S equivalence class: the normal case (2002) (3)
- Complete solution to the TP2 completion problem (2014) (3)
- Resolution of the Symmetric Nonnegative Inverse Eigenvalue Problem for Matrices Subordinate to a Bipartite Graph (2004) (3)
- A Characterization of Borda's Rule Via Optimization (1983) (3)
- Symmetric nonnegative realizability via partitioned majorization (2017) (3)
- Monomial Inequalities for Newton Coefficients and Determinantal Inequalities for p-Newton Matrices (2011) (3)
- Eigenvalue neutrality in block triangular matrices (1990) (3)
- Sign pattern matrices that require domain-range pairs with given singn patterns (1998) (3)
- Cases of equality for the spectral norm submultiplicativity of the hadamard product (1990) (3)
- Comments on the discrete matrix model of population dynamics (1974) (3)
- Branch duplication in trees: uniqueness of seeds and enumeration of seeds (2020) (3)
- Normal matrices subordinate to a tree and flat portions of the field of values (2016) (3)
- Numerical Ranges for Partial Matrices (1991) (3)
- An identity for the determinant (1994) (3)
- Evaluation of force structures under uncertainty (1980) (3)
- Patterns of commutativity: the commutant of the full pattern, (2005) (3)
- Congruence of Hermitian matrices by Hermitian matrices (2007) (3)
- Stability of m-matrix products (1985) (3)
- Schur-type stability properties and complex diagonal scaling (2008) (3)
- Cospectrality and similarity for a pair of matrices under multiplicative and additive composition with diagonal matrices (2001) (3)
- An operator inequality and matrix normality (1996) (3)
- The inverse eigenvalue problem for linear trees (2019) (3)
- Triangles generated by powers of triplets on unit circle (1973) (3)
- An efficient linear algebraic algorithm for the determination of isomorphism in pairs of undirected graphs (1976) (3)
- The minimum number of eigenvalues of multiplicity one in a diagonalizable matrix, over a field, whose graph is a tree (2018) (3)
- On the solvability of derived matrix problems, including completions and duals (2017) (3)
- The change in multiplicity of an eigenvalue due to adding or removing edges (2019) (3)
- THE JORDAN FORM PROBLEM FOR C = AB: THE BALANCED, DIAGONALIZABLE CASE (2010) (2)
- On the similarity classes among products of m nonsingular matrices in various orders (2014) (2)
- Spectra of convex hulls of matrix groups (2019) (2)
- ARBITRARINESS OF JORDAN STRUCTURE IN FACTORIZATION: THE GEOMETRIC MULTIPLICITY RESTRICTION AND THE 3 × 3 CASE (2012) (2)
- Sums of totally positive matrices (2004) (2)
- Doubly constrained totally positive line insertion (2020) (2)
- A condition for diagonalizability of a partitioned matrix (1975) (2)
- Totally positive shapes and TPk-completable patterns☆ (2012) (2)
- The structure of Schur complements in hollow, symmetric nonnegative matrices with two nonpositive eigenvalues (2015) (2)
- Complete positivity of matrices of special form (2001) (2)
- Inverse comrade matrices (1988) (2)
- PRODUCTS OF M-MATRICES AND NESTED SEQUENCES OF PRINCIPAL MINORS ∗ (2007) (2)
- Row cones, perron similarities, and nonnegative spectra (2016) (2)
- Yamamoto's theorem for generalized singular values (1990) (2)
- The linear interpolation problem for totally positive matrices (2004) (2)
- Information requirements for toeplitz inversion (1991) (2)
- The sprinkling problem (1993) (2)
- Deterministic inverse zero-patterns (2001) (2)
- Generalization of Flanders’ theorem to matrix triples (2004) (2)
- Inequalities for linear combinations of monomials in p-Newton sequences (2013) (2)
- An inclusion region for the field of values of a doubly stochastic matrix based on its graph (1978) (2)
- Change in vertex status after removal of another vertex in the general setting (2021) (2)
- The proportion of trees that are linear (2019) (2)
- EXACT RESULTS FOR PERTURBATION TO TOTAL POSITIVITY AND TO TOTAL NONSINGULARITY (2014) (2)
- Order invariant spectral properties for several matrices (2010) (2)
- Factorization of Operators with Angularly Constrained Spectra (1993) (2)
- The Koteljanskii inequalities for mixed matrices (2014) (2)
- Converse to a singular value inequality common to the hadamard and conventional products (1990) (2)
- Characterization of supercommuting matrices (1997) (2)
- Extended interlacing intervals (1997) (2)
- Changes in vertex status and the fundamental decomposition of a tree relative to a multiple (parter) eigenvalue (2017) (2)
- Confluent Hermitian Cauchy matrices are diagonally signed (1990) (2)
- Conditions for a totally positive completion in the case of a symmetrically placed cycle (2011) (2)
- Matricial Proofs of Some Classical Results about Critical Point Location (2020) (2)
- Numerical location of the field of values (1975) (2)
- COMPLETE SPECTRAL THEORY FOR MATRICES OVER A FIELD WHOSE GRAPH IS A STAR (2019) (2)
- The number of equivalence classes of symmetric sign patterns (2006) (2)
- Minimum deviation, quasi-LU factorization of nonsingular matrices (2007) (2)
- The distribution of eigenvalues of doubly cyclic Z+-matrices☆ (2013) (2)
- Unitary similarity classes within the cospectral-congruence class of a matrix (2005) (2)
- Erratum: "the robertson-taussky inequality revisited" (1995) (2)
- The sock matching problem (2014) (2)
- Nonpositive eigenvalues of the adjacency matrix and lower bounds for Laplacian eigenvalues (2011) (2)
- Minimal factorization of matrix and operator functions, by H. Bart, I. Gohberg (2007) (1)
- The product field of values (2013) (1)
- Polynomials satisfied by two linked matrices (2008) (1)
- THE PROBABILITY THAT A (PARTIAL) MATRIX IS POSITIVE SEMIDEFINITE (1998) (1)
- Eigenvalue Pairing in the Response Matrix for a Class of Network Models with Circular Symmetry (2013) (1)
- The Doubly Stochastic Single Eigenvalue Problem: An Empirical Approach (2018) (1)
- Invertible completions of partial operator matrices: The nonsymmetric case (1994) (1)
- Submatrix monotonicity of the Perron root (2012) (1)
- A Matricial Proof of the Symmetric Exchange Axiom for Eigenvalues of Principal Submatrices of a Complex Hermitian Matrix (2013) (1)
- Minimizing the least eigenvalue of graphs with fixed order and size (2012) (1)
- Eigenvalues of products of matrices and submatrices in certain positivity classes (2000) (1)
- The Totally Positive Completion Problem: The 3-by-n Case (2021) (1)
- The robertson-taussky inequality revisited (1990) (1)
- Bounded Ratios of Products of Principal Minors of Positive Definite Matrices (2008) (1)
- C O ] 6 O ct 2 00 7 Matrices Totally Positive Relative to a Tree ∗ (2008) (1)
- Binary Representation of Normalized Symmetric and Correlation Matrices (2004) (1)
- Indices of diagonalizable and universal realizability of spectra (2023) (1)
- Eigenvalue location for nonnegative and Z-matrices (1998) (1)
- Patterns with several multiple eigenvalues (2014) (1)
- The Number of Interlacing Equalities Resulting from Removal of a Vertex from a Tree (2015) (1)
- Matrices with orthogonal groups admitting only determinant one (2008) (1)
- LINE INSERTIONS IN TOTALLY POSITIVE MATRIX FUNCTIONS (2004) (1)
- Multiplicity lists for symmetric matrices whose graphs have few missing edges (2018) (1)
- Clock Hands Pictures for 2 × 2 Real Matrices (1998) (1)
- Bipartite characterization of sign nonsingularity (1991) (1)
- Extremal patterns of distinct entries in vectors in the range of a matrix (1997) (1)
- Variation in Jordan structure under congruence: The Nilpotent case (2008) (1)
- Parter vertices and generalization of the downer branch mechanism in the general setting (2023) (1)
- Matrices Totally Positive Relative to a Tree (2007) (1)
- Gangster operators and invincibility of positive semidefinite matrices (2010) (1)
- Algebraic characterizations of chordality (1996) (1)
- Approximate Semidefinite Matrices in a Linear Variety (1998) (1)
- Linear and Multilinear Algebra (2008) (1)
- Matrices for which 0 ∉ F(A m ) (1990) (1)
- Corrigendum to "The proportion of trees that are linear" [Discrete Math. 343 (10) (2020) 112008] (2021) (1)
- ON THE PERRON EIGENVALUE OF A BLOCK COCYCLIC PAIR OF NONNEGATIVE MATRICES (1996) (1)
- Spectra that are Newton after extension or translation (2010) (1)
- A note on pairs of matrices with product zero (1976) (1)
- In Memoriam Robert C. Thompson 1931-1995 (1996) (1)
- Locally compatible generalized matrix norms (1976) (1)
- Perturbation of Matrices Diagonalizable under Congruence (2006) (1)
- Variation in Jordan structure under congruence: the nonsingular case (2009) (1)
- ELA CRITICAL EXPONENTS : OLD AND NEW (2012) (0)
- Diagonal dominance and invertibility of matrices (2023) (0)
- Inseparable Gershgorin discs and the existence of conjugate complex eigenvalues of real matrices (2023) (0)
- Ela the Combinatorially Symmetric P-matrix Completion Problem (1999) (0)
- Contemporary Mathematics Eigenvalues , Multiplicities and Graphs (2006) (0)
- On Copositive Matrices and their Spectrum (2006) (0)
- Rank Incrementation via Diagonal Perturbations (1993) (0)
- New results about semi-positive matrices (2016) (0)
- Hadamard product submultiplicativity of certain induced norms (2000) (0)
- Eigenvalue Paths Arising From Matrix Paths (2019) (0)
- $k$-NIM trees: Characterization and Enumeration (2022) (0)
- Spectral dominance and commuting chains (2008) (0)
- Determinantal inequalities for diagonally signed matrices and an application to Gram-Cauchy matrices (1995) (0)
- Applications of saddle-point determinants (2015) (0)
- Characteristics of Eigenvalues Realized by Path-Connected Sets of Matrices (2019) (0)
- Nonnegativity of eigenvalues of sum of diagonalizable matrices (2012) (0)
- The critical exponent for generalized doubly nonnegative matrices (2014) (0)
- Ruling out certain 5-spectra with one repeated eigenvalue for the symmetric NIEP (2021) (0)
- The effect of perturbation of an off-diagonal entry pair on the geometric multiplicity of an eigenvalue (2021) (0)
- Gram-Schmidt projections (1990) (0)
- Maximal spectrally submultiplicative matrix families (2002) (0)
- Elementary Problems: E2495,E2516-E2521 (1975) (0)
- Length bounds for singular values of sparse matrices (1993) (0)
- Optimal Gersgorin-style estimation of the largest singular value. II (2016) (0)
- Application of an identity for subtrees with a given eigenvalue (2016) (0)
- Unitarily invariant norm submultiplicativity (1992) (0)
- Reconstructing Matrices from Minors (2011) (0)
- The classi cation of edges and the change in multiplicity of an eigenvalue of a real symmetric matrix resulting from the change in an edge (2017) (0)
- Power normal matrices (2021) (0)
- Ordering graphs in a normalized singular value measure (2015) (0)
- The minimum number of multiplicity 1 eigenvalues among real symmetric matrices whose graph is a nonlinear tree (2021) (0)
- The number of distinct eigenvalues for which an index decreases multiplicity (2017) (0)
- Corrigendum to “Total positivity of sums, Hadamard products and Hadamard powers: Results and counterexamples” [Linear Algebra Appl. 520 (2017) 242–259] (2021) (0)
- An explicit upper bound on disparity for trees of a given diameter (2021) (0)
- TP perturbation of TN matrices and totally positive directions (2016) (0)
- Determinantal formulae and nonsymmetric gaussian perfect elimination (1994) (0)
- Reminiscences on Miroslav Fiedler (2016) (0)
- Erratum: Successively Ordered Elementary Bidiagonal Factorization (2003) (0)
- Further generalization of symmetric multiplicity theory to the geometric case over a field (2021) (0)
- Bounded domains of negative multipliers (2019) (0)
- Sufficient conditions to be exceptional (2015) (0)
- AN IDENTITY FOR THE DETERMINANT ( Linear and Multilinear Algebra (1992) (0)
- COMMUTING PAIRS OF PATTERNS AND SYMMETRIC REALIZATIONS (2012) (0)
- Further geometric restrictions on jordan structure in matrix factorization (2012) (0)
- Branch duplication in trees (2020) (0)
- Multiplicities: Adding a Vertex to a Graph (2015) (0)
- Normal matrices subordinate to a graph (2017) (0)
- Absolutely flat idempotents (2005) (0)
- Semidefiniteness Without Hermiticity (2010) (0)
- Exponential polynomial inequalities and monomial sum inequalities in p-Newton sequences (2016) (0)
- Structured sequences and matrix ranks (2020) (0)
- CorrigendumCorrigendum to: “Positive, path product, and inverse M-matrices” [Linear Algebra Appl. 421 (2007) 328–337]☆ (2007) (0)
- New views of the doubly stochastic single eigenvalue problem (2022) (0)
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