The positive and negative definiteness of a matrix is a very useful notion for mechanics, often utilized in computations related to maximization/minimization of functionals and existence/uniqueness of solutions in various problems. • A positive definite n×n matrix A has all its eigenvalues positive...
M. Hlad´ik. Positive semidefiniteness and positive definiteness of a linear parametric interval matrix. to appear in a Springer book series, 2016.Hlad´ik, M.: Positive semidefiniteness and positive definiteness of a linear para- metric interval matrix (2018)...
The positive and negative definiteness of a matrix is a very useful notion for mechanics, often utilized in computations related to maximization/minimization of functionals and existence/uniqueness of solutions in various problems. • A positive definite n×n matrix A has all its eigenvalues positive...
美 英 un.正定性 英汉 网络释义 un. 1. 正定性
正定性positive definiteness 正定的positive definite 正定二次型positive definite quadratic form 正定型positive definite form 正定霉素daunomycin; rubidomycin 正定函数positive definite function 正定积分形式positive definite integral form 正定阵positively definite matrix ...
Proposition Let be a matrix. If is positive definite, then it is full-rank. ProofEigenvalues of a positive definite matrixThe following proposition provides a criterion for definiteness. Proposition A real symmetric matrix is positive definite if and only if all its eigenvalues are strictly positive...
Positive Definiteness Definition Note Cone Definition Positive Semidefinite Matrix and Cone Special Positive Definite Matrices Inner Product Theorem Theorem The Schur Product Theorem Theorem Theorem. (Moutard) Singular Value Decompostion Theorem Proof Thin SVD SVD and Eigenvalues of Symmetric Matrices SVD ...
2) metapositive definiteness of matrix 矩阵的次正定性3) The Extension Of Positive Matrix 矩阵正定性的推广4) On Complex Positive Semi-definite Matrix 复矩阵的半正定性5) positive definite matrix 正定矩阵 1. Research on the fast calculation model of positive definite matrix in-situ replacement...
6) The Metapositive Definite Matrix 实方阵的次正定性补充资料:方阵 方阵 phalanx fQngzhen方阵(Phalanx)古代军队采用的一种密集的战斗队形。其基本阵形是方形。是冷兵器时代军队作战的一种主要方式。方阵始于苏美尔。约公元前2900年的一块苏美尔人的纪念碑碎片上,描绘有方阵的图画。随后,古埃及、中国、亚述等...
Specially, we show that the smallest real eigenvalue of M-tensor is positive corresponding to a nonnegative eigenvector. We propose an algorithm to find the smallest positive eigenvalue and then apply the property to study the positive definiteness of a multivariate form....