Given the equations AX = XAT and AX = YB with arbitrary nonzero real matrices A and B of the same size, we seek all real solutions X and Y which are: (1) symmetric, (2) symmetric and positive semidefinite, and (
A symmetric positive definite matrix A(3) of order n– 2 is obtained, which can in turn be factorized. The procedure is repeated until a matrix A(n) of order 1, a number, is obtained. All the matrices of the sequence A(1)≡ A, A(2),…, A(n) are symmetric positive definite, ...
1.The left and right inverse eigenvalue problem for symmetric positive definite andsymmetric positive semidefinitematrices on subspace;子空间上的对称正定及对称半正定阵的左右特征值反问题 6)symmetric positive definite matrix对称正定矩阵 1.In 1970, the notion of unnecessarysymmetric positive definite matrix...
We investigate the underlying properties of these tensors and establish the equivalence of symmetric positive subdefinite and positive semidefinite tensors under an additional condition. Inspired by Martos' research on positive subdefinite matrices, we propose a complete characterization of symmetric ...
After that, we extend many properties of positive semidefinite matrices to the case of third-order symmetric tensors. In particular, analogue to the widely used semidefinite programming (SDP for short), we introduce the semidefinite programming over the space of third-order symmetric tensors (T-...
Higher-Order Duality for Minimax Fractional Type Programming Involving Symmetric MatricesHigher-Order (Fαφ )β Vector-Pseudoquasi-Type IHigher-Order DualityMinimax Fractional Type ProgrammingPositive Semidefinite Symmetric MatrixConvexity and generalized convexity play important roles in optimization theory. ...
A polynomial preconditioner was presented for the solution of the linear system Ax = b, for A complex symmetric, that is, such that , where B, C are real symmetric positive semidefinite matrices (semi-SPD) and B + C is symmetric positive definite (SPD). Typical problems of this form come...
5) metapositive symmetric definite matrices 次对称正定矩阵6) real positive definite symmetric matrix 实正定对称矩阵补充资料:对称与非对称 反映客观事物在结构、功能、时空上的特殊联系的范畴。对称指事物以一定的中介进行某种变化时出现的不变性,非对称指事物以一定的中介进行某种变化时出现的可变性。在自然界...
5) symmetric positive semidefinite 对称半正定 1. The left and right inverse eigenvalue problem for symmetric positive definite and symmetric positive semidefinite matrices on subspace; 子空间上的对称正定及对称半正定阵的左右特征值反问题 更多例句>> 6) symmetric positive definite matrix 对称正定矩阵...
1) symmetric positive semidefinite 对称半正定 1. The left and right inverse eigenvalue problem for symmetric positive definite andsymmetric positive semidefinitematrices on subspace; 子空间上的对称正定及对称半正定阵的左右特征值反问题 更多例句>> ...