Keywords: 47B35; 47A64; 15A45; Toeplitz matrix; Toeplitz-block block-Toeplitz matrix (TBBT); Geometric mean; Monotonicity; Symbol function;
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Keywords: 15A52; 15A45; 60H25; 65F35; Contracted product; Matricization; Tensor; Norm inequality; Commutator;
Keywords: 15A45; 65F15; Block matrices; Block diagonal dominance; Block tridiagonal matrices; Decay bounds for the inverse; Eigenvalue inclusion regions; Gershgorin Circle Theorem;
Keywords: 65F50; 39A10; 15A45; 15B48; Real tridiagonal matrix; Diagonally-dominant matrix; Inverses; Sign distribution; Bounds; Second-order finite-difference discretization;
Keywords: 15A45; 47A64; 65F30; Geometric means; Karcher mean; Least squares mean; Inductive mean; Symmetric positive definite matrices; NPC spaces;
Keywords: 47B65; 15A42; 15A45; Partial transpose; Partial trace; Positive semidefinite; Block matrix;
Keywords: 47B65; 15A42; 15A45; Partial transpose; Determinant; Positive semidefinite; Block matrices;
Keywords: 15A45; 15A42; Trace inequality; Majorization; Eigenvalue;
Keywords: 46L30; 15A45; 15B57; Matrix Heron mean; Determinant inequality; Trace; t-power mean; Majorization;
Keywords: 15A45; 15A42; Inequality; Majorization; Eigenvalue; Singular value;
Keywords: 15A45; 15A42; 46L53; Positive definite matrices; Positive unital linear maps; Tensor product; Eigenvalues;
Keywords: 15B48; 15A45; Positive semidefinite; Hadamard power; Strictly sign regular;
Keywords: 15A45; 15A60; 47A12; Positive linear maps; Numerical range; Trace; Eigenvalues;
Keywords: 15A45; 15B48; 34D20; 37C75; 93D05; Lyapunov matrix equation; Systems theory; Lyapunov diagonal stability; P-Matrix; Hadamard multiplication; Positive semidefinite matrix;
Keywords: 15B99; 15A45; 05A19; 05A20; Riordan array; Total positivity; Log-convexity;
Keywords: 46C05; 15A45; 15A15; Gram matrix; Gramian; Hadamard inequality; Hermitian matrix; Cauchy-Bunyakovsky-Schwarz inequality;
Keywords: 15A45; 15A48; 34D20; 93D05; 93D09; 93D30; Common Lyapunov solution; Common diagonal Lyapunov solution; Stable matrices;
Keywords: primary; 47A53; 47A64; secondary; 15A42; 15A45; 15A60; McIntosh's inequality; Operator norm inequality; Unitarily invariant norm; Positive definite function; Infinitely divisible function;
Keywords: 05C50; 15A45; Adjacency matrix; Signless Laplacian matrix; Maximal eigenvalue; Vertex bipartiteness; Spread of a graph;
Keywords: 15A45; 15A42; 47A30; Hua matrix; Contractive matrix; Singular value; Eigenvalue; Inequality;
Keywords: 15A15; 15A45; 90C25; 68Q25; Mixed discriminant; Scaling; Algorithm; Concentration;
Keywords: 47B35; 47A64; 15A45; Toeplitz matrix; Matrix geometric mean; Laurent operator; Monotonicity;
Keywords: primary; 15A45; secondary; 15A12; 15B48; 26C05; 62H99; 65F15; Positive definite matrix; Hadamard product; Schur polynomial; Entrywise function; Linear matrix inequality; Correlation matrix; Spectrahedron; Characteristic value;
Keywords: 15A06; 15A45; 65F05; 65G30Symmetric solution set; Persymmetric solution set; Skew-symmetric solution set; Perskew-symmetric solution set; Beeck criterion; Hartfiel inequalities; Oettli–Prager inequality; Interval analysis
Keywords: 15A45; 15B35Positive definite matrix; Normalized positive definite matrix; Sign pattern
Keywords: 15A45; 15A60; 47A63Operator monotone functions; Pick functions; Petz–Hasegawa's functions
Keywords: 15A45; Determinantal inequality; Fischer's inequality; Determinants of block matrices;
Keywords: 15A16; 15A18; 15A24; 15A44; 15A45; 15A60; 26DxxUnitary polar factor; Matrix logarithm; Matrix exponential; Hermitian part; Minimization; Unitarily invariant norm; Polar decomposition; Majorization; Optimality
Keywords: 15A42; 15A09; 15A45; 15B48Minimal eigenvalue; Totally positive matrices; Hadamard product; Schur complement; Jacobi matrices
Keywords: 47A30; 47B15; 15A45; 26A51; Convex function; Jensen inequality; Eigenvalue; Weak majorization; Unitarily invariant norm;
Keywords: 15A60; 15A45; 15A27; 65F35; 65F30; Commutator; Joint diagonalizability; Pseudo-metric;
Keywords: 15A45; 47A63Brunn–Minkowski inequality; Determinantal inequality; Sector; Numerical range; Schur complement
Ehrhart tensor polynomials
Keywords: 05A10; 05A15; 15A45; 15A69; 52B20; 52B45; Ehrhart tensor polynomial; hr-tensor polynomial; Pick's formula; Positive semidefinite coefficients; Half-open polytopes;
On Drury's solution of Bhatia & Kittaneh's question
Keywords: 15A45; 15A60; AM-GM inequality; Singular value; Eigenvalue;
Unifying a result of Thompson and a result of Fiedler and Markham on block positive definite matrices
Keywords: 15A45; 15A60; Elementary symmetric function; Determinant inequality; Positive definite matrix;
New properties for certain positive semidefinite matrices
Keywords: 15A45; 15A42; 47A30; Singular value; Eigenvalue; Positive partial transpose; Inequality;
DDVV-type inequality for Hermitian matrices
Keywords: 15A45; 15B57; 53C42; DDVV inequality; Hermitian matrices; Commutator;
Perturbation bounds for Mostow's decomposition and the bipolar decomposition
Keywords: 15A23; 47A55; 65F60; 47A64; 47A30; 15A45; Perturbation bounds; Derivative; Matrix factorizations; The bipolar decomposition; Mostow's decomposition theorem; Polar decomposition; Sylvester's equation; Geometric mean;
Some sharp bounds for the commutator of real matrices
Keywords: 15A45; Schatten p-norm; Commutator; Norm inequality;
Contractive maps on operator ideals and norm inequalities III
Keywords: primary; 15A45; secondary; 47A30; 47A63; 47B10; Operator algebra; Norm inequality; Unitarily invariant norm; Operator means; Lyapunov operator equations; Contractive maps;
Positive linear maps and spreads of matrices-II
Keywords: 15A45; 15A60; 47A12Positive unital linear map; Spread; Trace; Numerical range
Angles, triangle inequalities, correlation matrices and metric-preserving and subadditive functions
Keywords: 15A03; 15A45; 39B62Angle; Correlation matrix; Density matrix; Isometry; Metric; Metric-preserving function; Subadditive function; Triangle inequality; Triangle triplet
On common diagonal Lyapunov solutions
Keywords: 15A18; 15A45; 15A48; 34D20; 93D05; 93D30Lyapunov equation; Diagonal stability; Diagonal Lyapunov solution; Schur complement; P-matrix; Negative (positive) definite matrix
Total positivity, Schubert positivity, and geometric Satake
Keywords: 20G20; 15A45; 14N35; 14N15; Flag varieties; Quantum cohomology; Total positivity;
Sufficient conditions for Schur and Hurwitz diagonal stability of complex interval matrices
Keywords: 15A18; 15A42; 15A45; 15A60; 15A63; 93C05; 93C41; 93D20; Complex matrix; Interval matrix; Diagonal stability; Matrix inequality; Stein/Lyapunov inequality;
Yet another characterization of solutions of the Algebraic Riccati Equation
Keywords: 15A24; 15A45; 06B99; Riccati equation; Invariant subspaces; Schur complement; Lyapunov equation; Lattice;
A completely PPT map
Keywords: 47B65; 15A45; 15A60Positive partial transpose; Completely positive map; Inequality; Block matrices
Positive semidefiniteness of a 3Ã3 matrix related to partitioning
Keywords: 15A45; Positive semidefinite matrix; Trace norm; Partitioned matrix;
Log-convexity of Aigner-Catalan-Riordan numbers
Keywords: 15A45; 05A20; 05A10; 15B36; 05A15; Log-convexity; TP2 matrix; Catalan-like number; Riordan array; Generating function;
Isometries of the geodesic distances for the space of invertible positive operators and matrices
Keywords: 47B49; 15A45; Isometry; Mazur-Ulam theorem; Câ-algebra; Invertible positive element; Positive definite matrix; Geodesic distance;