Keywords: ماتریس قطعی مثبت; Linear complementarity problem; Modulus-based method; Relaxation; Positive definite matrix;
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Keywords: ماتریس قطعی مثبت; 15A42; 47A64; 47B65; 47L07; Positive definite matrix; Geometric mean; Repetition invariancy; Contractive barycentric map; Borel probability measure; Yamazaki inequality;
Keywords: ماتریس قطعی مثبت; Positive definite matrix; Jensen's inequality; Wasserstein distance; Contractive barycenter; Majorization; Eigenvalue inequalities;
Keywords: ماتریس قطعی مثبت; primary; 47A63; secondary; 47A64; Matrix power mean; Information monotonicity; Positive definite matrix; Positive linear mapping;
Keywords: ماتریس قطعی مثبت; 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: ماتریس قطعی مثبت; 15A60; 47A30; 47A64; 47B15Heinz inequality; Convex function; Hermite–Hadamard inequality; Positive definite matrix; Unitarily invariant norm
Keywords: ماتریس قطعی مثبت; 15A24; 22E15; 54H25; Positive definite matrix; Hamiltonian; Lie-Trotter formula; Lyapunov and Stein operator; Positive linear map; Thompson metric;
Keywords: ماتریس قطعی مثبت; Primary, 62H05; Secondary, 62F12Curved exponential family; Information loss; Fisher information metric; Embedding curvature; Affine connection; Positive definite matrix
Contractive barycentric maps and L1 ergodic theorems on the cone of positive definite matrices
Keywords: ماتریس قطعی مثبت; Positive definite matrix; Thompson metric; Cartan mean; Wasserstein distance; Contractive barycenter; L1 ergodic theorem;
Log-majorizations for the (symplectic) eigenvalues of the Cartan barycenter
Keywords: ماتریس قطعی مثبت; 15A42; 47A64; 47B65; 47L07; Positive definite matrix; Riemannian trace metric; Cartan barycenter; Probability measure; (Symplectic) eigenvalue; Log-majorization;
Unifying a result of Thompson and a result of Fiedler and Markham on block positive definite matrices
Keywords: ماتریس قطعی مثبت; 15A45; 15A60; Elementary symmetric function; Determinant inequality; Positive definite matrix;
A modification on strictly positive definite RBF-DQ method based on matrix decomposition
Keywords: ماتریس قطعی مثبت; 65M20; 65M06; Radial basis functions; Strictly positive definite functions; Positive definite matrix; Matrix decomposition;
Geometric mean flows and the Cartan barycenter on the Wasserstein space over positive definite matrices
Keywords: ماتریس قطعی مثبت; 15A42; 47A64; 47B65; 47L07; Positive definite matrix; Probability measure; Riemannian trace metric; Cartan barycenter; Wasserstein distance; Lie-Trotter formula;
Log-majorization and Lie-Trotter formula for the Cartan barycenter on probability measure spaces
Keywords: ماتریس قطعی مثبت; Positive definite matrix; Cartan barycenter; Wasserstein distance; Log-majorization; Lie-Trotter formula; Unitarily invariant norm;
Isometries of the geodesic distances for the space of invertible positive operators and matrices
Keywords: ماتریس قطعی مثبت; 47B49; 15A45; Isometry; Mazur-Ulam theorem; Câ-algebra; Invertible positive element; Positive definite matrix; Geodesic distance;
The extremal solution of the matrix equation Xs+AâX-qA=I
Keywords: ماتریس قطعی مثبت; Positive definite matrix; Nonlinear matrix equation; Iterative algorithm; The maximal solution; The minimal solution;
The bipolar decomposition
Keywords: ماتریس قطعی مثبت; 15A23; 15A48Polar decomposition; Positive definite matrix; Geometric mean; Matrix factorisations; Mostowʼs Decomposition Theorem
Multi-output least-squares support vector regression machines
Keywords: ماتریس قطعی مثبت; Least-squares support vector regression machine (LS-SVR); Multiple task learning (MTL); Multi-output LS-SVR (MLS-SVR); Positive definite matrix
De Casteljauʼs algorithm on manifolds
Keywords: ماتریس قطعی مثبت; Bézier curve; Canal surface; Ruled surface; Symmetric spaces; Rigid body motion; Euclidean group; Positive definite matrix; Nonlinear subdivision; Lie group; De Casteljauʼs algorithm
A new splitting and preconditioner for iteratively solving non-Hermitian positive definite systems
Keywords: ماتریس قطعی مثبت; Non-Hermitian; Positive definite matrix; Splitting; Iteration method; Preconditioner
Convex geometric means
Keywords: ماتریس قطعی مثبت; Positive definite matrix; Geometric mean; Geometric mean majorization; Convex function; Karcher mean
Some inequalities for unitarily invariant norm
Keywords: ماتریس قطعی مثبت; Primary 15A18; 47A64; 47A30Singular values; Positive definite matrix; Unitarily invariant norm
Convexity conditions of Kantorovich function and related semi-infinite linear matrix inequalities
Keywords: ماتریس قطعی مثبت; Matrix analysis; Condition number; Kantorovich function; Convex analysis; Positive definite matrix
A note on observer design for one-sided Lipschitz nonlinear systems
Keywords: ماتریس قطعی مثبت; Nonlinear system; One-sided Lipschitz condition; Positive definite matrix; Asymptotically stable estimates
A generalized preconditioned HSS method for non-Hermitian positive definite linear systems
Keywords: ماتریس قطعی مثبت; Hermitian and skew-Hermitian splitting; Positive definite matrix; Iterative methods; Incremental unknowns, Preconditioner
On the existence of extremal positive definite solutions of the nonlinear matrix equation Xr+∑i=1mAi∗XδiAi=I
Keywords: ماتریس قطعی مثبت; Nonlinear matrix equation; Positive definite matrix; Extremal positive solution; Iteration
The representation and approximation for the weighted Minkowski inverse in Minkowski space
Keywords: ماتریس قطعی مثبت; Weighted Moore–Penrose inverse; Weighted Minkowski inverses; Group inverse; Matrix norm; Weighted SVD; Minkowski space; Convergence; Sequence; Weighted range symmetric matrix; Positive definite matrix
On Ando–Li–Mathias geometric mean equations
Keywords: ماتریس قطعی مثبت; Positive definite matrix; Geometric mean; Non-linear matrix equation; Contraction; Fixed point; Thompson metric
Practical criteria for positive-definite matrix, M-matrix and Hurwitz matrix
Keywords: ماتریس قطعی مثبت; Positive definite matrix; Hurwitz matrix; M-matrix; Inner operations of determinants; Sign-preserving operations of determinants
Iterative methods for the extremal positive definite solution of the matrix equation X+A*X-αA=QX+A*X-αA=Q
Keywords: ماتریس قطعی مثبت; Positive definite matrix; Matrix equation; Iterative method; The maximal solution; The minimal solution.
On the matrix equation X+ATX-12mA=I
Keywords: ماتریس قطعی مثبت; Nonlinear matrix equation; Positive definite matrix; Extremal positive solutions iteration; Necessary and sufficient conditions; Matrix factorization
Principal minor sums of (AÂ +Â tB)m
Keywords: ماتریس قطعی مثبت; Primary 15A15; 15A57; Secondary 15A90; 81Q99; Positive definite matrix; Principal minors;
Iterative methods for nonlinear matrix equations X + AâXâαA = I
Keywords: ماتریس قطعی مثبت; Primary 15A24; 65F10; Secondary 65H10; 93B40; Nonlinear matrix equation; Iterative methods; Convergence of sequence; Positive definite matrix;
The inverse mean problem of geometric mean and contraharmonic means
Keywords: ماتریس قطعی مثبت; Geometric mean; Contraharmonic mean; Inverse mean problem; Nonlinear matrix equation; Positive definite matrix;
Mixed mean inequalities for several positive definite matrices
Keywords: ماتریس قطعی مثبت; 47A63; 15A45; Positive definite matrix; Geometric mean; Mixed mean; Mixed mean inequality;