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- Based on them, some properties of the coefficient matrix A are presented when the matrix equation has a positive definite solution. 根据这两个定理,当矩阵方程有对称正定解时,给出了系数矩阵。
- the quasi positive definite solution 准最大正定解
- symmetric positive definite solution 对称正定解
- Hemitian positive definite solution Hermite正定解
- Hermite positive definite solution Hermite正定解
- Hermitian positive definite solution Hermitian正定解
- Existence of Positive Definite Solution to Periodic Riccati Differential Equation 周期黎卡提微分方程正定解的存在性
- positive definite solution 正定解
- The Hermitian positive definite solutions of matrix equation X+A~*X~(-q)A=Q when q>1 矩阵方程X+A~*X~(-)qA=Q当q>1时的Hermite正定解
- The Hermitian positive definite solutions of the matrix equation X+A~*X~qA=I(q>0) 矩阵方程X+A~*X~qA=I(q>0)的Hermite正定解
- This paper deals with the positive definite real square matrices. 本文研究一般实方阵的正定性,给出了方阵正定的一些充分必要条件。
- Results linear complementary problem have unique solution when M is generalized positive definite matrix. 结果得到了当M是广义正定矩阵时，线性互补问题存在唯一解。
- positive definite solutions 正定解
- Furthermore, if F(x) is B -differentiable at a solution x * of F(x) =0 and BF(x* ) is symmetric nonsingular (BF(x* ) is symmetric positive definite for DFP method), q-superlinear convergence is proven for PSB and DFP methods. 若更进一步假设F(x)在解x~*处是B可微的(即BF(x~*)存在),且BF(x~*)对称非奇异(对DFP方法还需假设BF(x~*)正定),还证明了PSB方法及DFP方法的q~-超线性收敛性。
- There are five nonzero elements in even columns and three nonzero elements in odd columns so that two positive definite symmetric matrixes A, B may be solved to accomplish the solution of finite element wave equation in x direction. 对于偶数行说来有5个非零元素,对于奇数行说来有3个非零元素,由此可求解A和B两个正定对称矩阵,从而完成x方向的有限元波动方程求解。
- Positive semi-definite matrices are positive definite if and only if they are nonsingular. 正半定矩阵是正定的，当且仅当它们是非奇异矩阵。
- If a symmetrical matrix is positive definite, the determinants of all its minors are also positive. 如果对称矩阵是为正定者，它的所有子式的行列式也都是正的。
- In an SQP method, it is important to keep the Hessian of the objective function in QP problem to be positive definite. 此时，QP子问题有唯一解，而且，该问题的求解比较容易。
- This paper proves some Hadamard inequalities from the qualities of positive definite quadratic form. 摘要利用正定二次型的性质，给出阿达马不等式的证明。
