lower triangular matrix sentence in Hindi
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- Hence, the lower triangular matrix " L " we are looking for is calculated as
- The factorization is stored as a lower triangular matrix, with the elements in the upper triangle set to zero.
- The Crout algorithm is slightly different and constructs a lower triangular matrix and a " unit upper triangular " matrix.
- The LU decomposition factorizes a matrix into a lower triangular matrix " L " and an upper triangular matrix " U ".
- An incomplete Cholesky factorization is given by a sparse lower triangular matrix " K " that is in some sense close to " L ".
- Doolittle's method returns a unit lower triangular matrix and an upper triangular matrix, while the Crout method returns a lower triangular matrix and a unit upper triangular matrix.
- Doolittle's method returns a unit lower triangular matrix and an upper triangular matrix, while the Crout method returns a lower triangular matrix and a unit upper triangular matrix.
- For instance, the sum of an upper and a lower triangular matrix can be any matrix; the product of a lower triangular with an upper triangular matrix is not necessarily triangular either.
- For example, we can conveniently require the lower triangular matrix " L " to be a unit triangular matrix ( i . e . set all the entries of its main diagonal to ones ).
- An example of a group of symplectic matrices is the group of three symplectic 2x2-matrices consisting in the identity matrix, the upper triagonal matrix and the lower triangular matrix, each with entries 0 and 1.
- By the LU decomposition algorithm, an invertible matrix may be written as the product of a lower triangular matrix " L " and an upper triangular matrix " U " if and only if all its leading principal minors are non-zero.
- :* \ Theta _ i = \ Phi _ i P, where P is a lower triangular matrix obtained by a Cholesky decomposition of \ Sigma _ u such that \ Sigma _ u = PP', where \ Sigma _ u is the covariance matrix of the errors u _ t
- The variable " L " ( standing for lower or left ) is commonly used to represent a lower triangular matrix, while the variable " U " ( standing for upper ) or " R " ( standing for right ) is commonly used for upper triangular matrix.
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