On the characterizing properties of the permanental polynomials of graphs
Keywords: 05C31; 05C50; 15A15; Permanent; Permanental polynomial;
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Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations
Keywords: 15A15; 16W10; Matrix equation; Least squares solution; Moore-Penrose generalized inverse; Quaternion matrix; Cramer rule; Column determinant; Row determinant;
A relation between the determinant and the permanent on singular matrices
Keywords: 15A15; Linear preserver problems; Determinant; Permanent;
On new algorithms for inverting Hessenberg matrices
Keywords: 15A09; 15A15; 15A23; 65F05; 65Y20; Computational complexity; Hessenberg matrix; Inverse matrix; Matrix factorization;
Non-symbolic algorithms for the inversion of tridiagonal matrices
Keywords: 15A09; 15A15; 15A29; 39A06; 65F05; 65Y20; Computational complexity; Difference equation; Inverse matrix; Numerical algorithm; Tridiagonal matrix;
On minors of the compound matrix of a Laplacian
Keywords: 15A15; 05C05Laplacian; Minors; Compound; Trees
Determinant of a matrix that commutes with a Jordan matrix
Keywords: 15A15; 15A21; 15A27Jordan canonical form; Weyr canonical form; Centralizer; Determinant; Toeplitz matrices
Determinants, permanents and some applications to statistical shape theory
Keywords: 15A15; 11P82; 60E05Determinant; Permanent; Zonal and invariant polynomials; Statistical shape theory; Elliptical distributions
Log-convexity and strong q-log-convexity for some triangular arrays
Keywords: 05A20; 15A15; Log-convexity; q-Log-convexity; Strong q-log-concavity; Strong q-log-convexity; 2-Order total positivity;
When the positivity of the leading principal minors implies the positivity of all principal minors of a matrix
Keywords: 15A57; 15A15; 15A21Symmetric; Positive definite; Z-matrix; M-matrix; Leading principal minors; Nested sequence of principal minors
Some algebraic identities for the α-permanent
Keywords: 15A15; 05E05; 05A18; 68Q17Permanent; α-Permanent; Determinant; Immanant; Rencontres number
On condition numbers of a basis
Keywords: 15A; 15A12; 15A15; 65A35; Condition number; Optimal scaling; Orthogonality in a Banach space; Gram matrix; Cholesky decomposition; Implicit function theorem; Bernstein polynomials; Lagrange and Legendre polynomials; Power basis; Hat functions; Pyramid fun
Geometry of differential operators of second order, the algebra of densities, and groupoids
Keywords: 15A15; 58A50; 81R99Differential operator; Density; Odd symplectic supermanifold; Groupoid; Batalin–Vilkovisky equation
On the closed representation for the inverses of Hessenberg matrices
Keywords: 11B83; 15A09; 15A15; 33C45; 47A10; 65F05General orthogonal polynomials; Hessenberg matrix; Hessenbergian; Inverse matrix; Lower semiseparable (plus diagonal) matrix; Resolvent matrix
The edge L-function of a graph
Keywords: 05C50; 15A15; Zeta function; Graph covering; L-function;
Characteristic polynomial of a generalized complete product of matrices
Keywords: 15A15; 05C50; 05C76; Characteristic polynomial; Complete product of graphs; Generalized complete product of matrices;
Inertia in binary choices: Continuity breaking and big-bang bifurcation points
Keywords: 05C38; 15A15; 05A15; 15A18C31; C61; C73 Z13Binary choices; Switching systems; Piecewise smooth systems; Border collision bifurcations big-bang bifurcation
Some determinants of path generating functions
Keywords: primary; 05A19; secondary; 05A10; 05A15; 11C20; 15A15; Hankel determinants; Catalan numbers; Ballot numbers; Motzkin numbers; Motzkin paths; Non-intersecting lattice paths;
Strong influence of a small fiber on shear stress in fiber-reinforced composites
Keywords: 15A15; 15A09; 15A23; High shear stress concentration; Fiber-reinforced composites; Strong effect of small inclusion; A triple of fibers; A gradient estimate;
The μμ-permanent of a tridiagonal matrix, orthogonal polynomials, and chain sequences
Keywords: 15A45; 15A15; 05C05; 05C02Permanent; Determinant; μμ-Permanent; Orthogonal polynomials sequence; Chain sequences; Tridiagonal matrix; Toeplitz matrix
Relations between the Clausen and Kazhdan-Lusztig representations of the symmetric group
Keywords: 20C30; 20C08; 15A15; 17B37;
How badly are the Burkholder–Davis–Gundy inequalities affected by arbitrary random times?
Keywords: primary, 05C38; 15A15; secondary, 05A15; 15A18Random times; Progressive enlargement of filtrations; Martingale inequalities
Breaking the rhythm on graphs
Keywords: primary, 05C38; 15A15; secondary, 05A15; 15A18Graph coloring; Random graph; Thue sequence; Rhythm threshold
Computing multiple integrals involving matrix exponentials
Keywords: 15A15; 65F30Multiple integrals; Matrix exponential
A generalized characteristic polynomial of a graph having a semifree action
Keywords: 05C50; 05C25; 15A15; 15A18Characteristic polynomial; Semifree action; Bartholdi zeta function
Thue type problems for graphs, points, and numbers
Keywords: Primary, 05C38; 15A15; Secondary, 05A15; 15A18Nonrepetitive sequence; Graph coloring; Avoidable pattern
On the dual canonical and Kazhdan–Lusztig bases and 3412-, 4231-avoiding permutations
Keywords: 05E05; 15A15; 20C08; 20G42
An experimental study of interface relaxation methods for composite elliptic differential equations
Keywords: 15A15; 15A09; 15A23Domain decomposition methods; Differential equations; Interface relaxation methods
On Mann iteration in Hilbert spaces
Keywords: primary; 05C38; 15A15; secondary; 05A15; 15A18Hilbert space; Mann iteration; Pseudocontractive maps
An interpretation of the Dittert conjecture in terms of semi-matchings
Keywords: 15A15; 05C70Dittert conjecture; Permanent; Semimatching; Schur-concave
OMC for scalar multiples of unitaries
Keywords: 15A15; 15A42; 15A57Determinant; Eigenvalue; Marcus–de Oliveira conjecture
On the job rotation problem
Keywords: 15A15; 90C27Principal submatrix; Assignment problem; Job rotation problem; Node disjoint cycles
Non-stopping times and stopping theorems
Keywords: 05C38; 15A15; 15A18Random times; Progressive enlargement of filtrations; Optional stopping theorem; Martingales; Zeros of continuous martingales
A class of remarkable submartingales
Keywords: 05C38; 15A15; 05A15; 15A18Submartingales; Azéma’s submartingale; Bessel processes; Inequalities; General theory of stochastic processes; Skorokhod’s stopping problem
Two variations of a theorem of Kronecker
Keywords: primary 11R06; secondary 12E05; 15A15; Algebraic numbers; Roots of unity; Polynomials;
Determinants associated to zeta matrices of posets
Keywords: 15A15; 05C20; 05C50; 06A11; Poset; Zeta function; Möbius function;
Application of topology in optimization theory
Keywords: primary; 15A15; 52A20; secondary; 15A18; 52B12; Optimization; Variational calculus; Maximum principle;
On a conjecture in D-optimal designs with n â¡Â 0 mod 4
Keywords: 15A15; 05B20; 62K05; D-optimal designs; Hadamard's inequality; Fisher's inequality;
Bartholdi zeta functions of graph bundles having regular fibers
Keywords: 05C50; 05C25; 15A15; 15A18; (Bartholdi) zeta function; Graph bundle; (Permutation) voltage assignment;
A linear algebra approach to the conjecture of Collatz
Keywords: 14G10; 11D04; 15A15; 11D79; 11B83; Collatz problem; Periodic orbits; Recurrence; Diophantine linear equations; Congruences; Iteration function;
On the values of permanents of (0, 1) circulant matrices with three ones per row
Keywords: 15A15; 65F50; Sparse circulant matrix; Matrix permanent;
On algebraic connectivity and spectral integral variations of graphs
Keywords: 05C50; 15A48; 15A15; 15A18; Laplacian matrix; Perron branch; Algebraic connectivity; Characteristic set; Spectral integral variation;
Distance matrix and Laplacian of a tree with attached graphs
Keywords: 15A09; 15A15; Tree; Distance matrix; Resistance distance; Laplacian matrix; Determinant; Transportation problem;
Confluent q-extensions of some classical determinants
Keywords: 15A15; Confluent Vandermonde determinants; Alternants; q-analogues;
The zrank conjecture and restricted Cauchy matrices
Keywords: 05E10; 15A15; Zrank; Rank; Outside decomposition; Border strip decomposition; Snakes; Interval sets; Restricted Cauchy matrix; Reduced code;
Trace identities from identities for determinants
Keywords: 15A15; 13B25; 20G20; Trace identity; Determinantal identity;
Functions of matrices
Keywords: 15A15; 15A09; 34A30; 39A10; Cayley-Hamilton; Dynamic solutions; Matrix exponential; Functions of a matrix;
The determinant of a unicyclic graph's neighborhood matrix
Keywords: 05C05; 15A15; 15A18; Unicyclic graph; Adjacency matrix; Neighborhood matrix; Determinant; Characteristic polynomial;
On nilpotent incline matrices
Keywords: 15A15; 15A18; 15A57; 16Y60; Incline; Incline matrix; Nilpotent matrix; Reduction of matrix; Permanent; Power sequence; Adjoint matrix; Transitive closure;
Values of minors of some infinite families of matrices constructed from supplementary difference sets and their application to the growth problem
Keywords: 05B20; 15A15; 65F05; 65G05; Supplementary difference sets; Minors; Gaussian elimination; Growth; Complete pivoting;