In other words, a matrix is positive-definite if and only if it defines an inner product. Nonnegative matrix · Matrix congruence · Sylvester's criterion |
| Definite matrix |  |
В математике симметричная матрица с действительными элементами является положительно определенной, если действительное число положительно для каждого ненулевого вещественного вектора-столбца, где - вектор-строка, транспонированная Википедия (Английский язык)
The determinant of a positive definite matrix is always positive, so a positive definite matrix is always nonsingular. If A and B are positive definite ... |
A matrix is positive definite if it's symmetric and all its pivots are positive. ... Our final definition of positive definite is that a matrix A is positive. |
A square matrix is positive definite if pre-multiplying and post-multiplying it by the same vector always gives a positive number as a result, independently of ... |
27 февр. 2022 г. · A positive definite matrix behaves like a positive number in the sense that it never flips a vector about the origin 0. |
4 янв. 2019 г. · A positive definite matrix is defined as a symmetric matrix whose every eigenvalue is positive. Alright, but you might be wondering, ... |
A sufficient condition for a symmetric matrix to be positive definite is that all diagonal elements are positive and the matrix is diagonally dominant. |
All real diagonal matrices with positive diagonal elements are positive-definite. Positive-definite matrices are used to define inner products. |
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