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Contents - Matrix and vector operations - Operations on symmetric matrices

Operations on symmetric matrices

Cholesky decomposition
Factorization of a symmetric positive definite matrix

LDLT decomposition
Factorization of a symmetric indefinite matrix


Determinant of a symmetric positive definite matrix
Cholesky decomposition is used

Determinant of a symmetric indefinite matrix
LDLT decomposition is used

Inverse of a symmetric positive definite matrix
Cholesky decomposition is used

Inverse of a symmetric indefinite matrix
LDLT decomposition is used

Condition number estimate of a symmetric positive definite matrix
Cholesky decomposition is used

Condition number estimate of a symmetric indefinite matrix
Cholesky decomposition is used


Reduction of a symmetric matrix to tridiagonal form
Reduction of a symmetric matrix to tridiagonal form by the orthogonal similarity transformation.




 
 
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