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- Positive-definite_matrix abstract "In linear algebra, a symmetric n × n real matrix M is said to be positive definite if zTMz is positive for every non-zero column vector z of n real numbers. Here zT denotes the transpose of z.More generally, an n × n Hermitian matrix M is said to be positive definite if z*Mz is real and positive for all non-zero complex vectors z. Here z* denotes the conjugate transpose of z.The negative definite, positive semi-definite, and negative semi-definite matrices are defined in the same way, except that the expression zTMz or z*Mz is required to be always negative, non-negative, and non-positive, respectively.Positive definite matrices are closely related to positive-definite symmetric bilinear forms (or sesquilinear forms in the complex case), and to inner products of vector spaces.Some authors use more general definitions of "positive definite" that include some non-symmetric real matrices, or non-Hermitian complex ones.".
- Positive-definite_matrix wikiPageExternalLink PositiveDefiniteMatrix.html.
- Positive-definite_matrix wikiPageID "40326".
- Positive-definite_matrix wikiPageRevisionID "604173615".
- Positive-definite_matrix hasPhotoCollection Positive-definite_matrix.
- Positive-definite_matrix id "p/p073880".
- Positive-definite_matrix title "Positive-definite form".
- Positive-definite_matrix subject Category:Matrices.
- Positive-definite_matrix type Abstraction100002137.
- Positive-definite_matrix type Arrangement107938773.
- Positive-definite_matrix type Array107939382.
- Positive-definite_matrix type Group100031264.
- Positive-definite_matrix type Matrices.
- Positive-definite_matrix type Matrix108267640.
- Positive-definite_matrix comment "In linear algebra, a symmetric n × n real matrix M is said to be positive definite if zTMz is positive for every non-zero column vector z of n real numbers. Here zT denotes the transpose of z.More generally, an n × n Hermitian matrix M is said to be positive definite if z*Mz is real and positive for all non-zero complex vectors z.".
- Positive-definite_matrix label "Matrice definita positiva".
- Positive-definite_matrix label "Matrice définie positive".
- Positive-definite_matrix label "Matriz definida positiva".
- Positive-definite_matrix label "Określoność formy".
- Positive-definite_matrix label "Positief-definiete matrix".
- Positive-definite_matrix label "Positive-definite matrix".
- Positive-definite_matrix label "Положительно определённая матрица".
- Positive-definite_matrix label "正定矩阵".
- Positive-definite_matrix label "行列の定値性".
- Positive-definite_matrix sameAs Pozitivně_definitní_matice.
- Positive-definite_matrix sameAs Matriz_definida_positiva.
- Positive-definite_matrix sameAs Matrice_définie_positive.
- Positive-definite_matrix sameAs Matrice_definita_positiva.
- Positive-definite_matrix sameAs 行列の定値性.
- Positive-definite_matrix sameAs 정부호행렬.
- Positive-definite_matrix sameAs Positief-definiete_matrix.
- Positive-definite_matrix sameAs Określoność_formy.
- Positive-definite_matrix sameAs m.0b1km.
- Positive-definite_matrix sameAs Q1052034.
- Positive-definite_matrix sameAs Q1052034.
- Positive-definite_matrix sameAs Positive-definite_matrix.
- Positive-definite_matrix wasDerivedFrom Positive-definite_matrix?oldid=604173615.
- Positive-definite_matrix isPrimaryTopicOf Positive-definite_matrix.