trait Factorization extends AnyRef
The Factorization trait is the template for classes implementing various forms
of matrix factorization.
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- abstract def factor(): Factorization
Factor a matrix into the product of two matrices without returning the two factored matrices.
Factor a matrix into the product of two matrices without returning the two factored matrices. Allows for example skipping the computation of the Q matrix in QR factorization when it is not needed, e.g., for regression. Class implementing the 'factor' method should set 'factored = true'.
- abstract def factors: (MatriD, MatriD)
Return the two factored matrices.
- abstract def solve(b: VectoD): VectoD
Solve a system of equations, e,g., 'a * x = b' for 'x', using the factored matrices, by first performing forward substitution and then backward substitution.
Solve a system of equations, e,g., 'a * x = b' for 'x', using the factored matrices, by first performing forward substitution and then backward substitution. Must factor before calling 'solve'.
- b
the constant vector
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- def factor1(): MatriD
Factor a matrix into the product of two matrices, e.g., 'a = l * l.t', returning only the first matrix.
- def factor12(): (MatriD, MatriD)
Factor a matrix into the product of two matrices, e.g., 'a = l * l.t' or a = q * r, returning both the first and second matrices.
- def factor2(): MatriD
Factor a matrix into the product of two matrices, e.g., 'a = l * l.t', returning only the second matrix.
- val factored: Boolean
Flag indicating whether the matrix has been factored
Flag indicating whether the matrix has been factored
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