extendr_api::prelude::modules::qr::col_pivoting

Module solve

Expand description

Solving a linear system using the decomposition.

Functionsยง

  • solve
    Given the QR factors with column pivoting of a matrix $A$ and a matrix $B$ stored in rhs, this function computes the solution of the linear system: $$\text{Op}_A(A)X = B.$$
  • solve_in_place
    Given the QR factors with column pivoting of a matrix $A$ and a matrix $B$ stored in rhs, this function computes the solution of the linear system in the sense of least squares: $$\text{Op}_A(A)X = B.$$
  • solve_in_place_req
    Computes the size and alignment of required workspace for solving a linear system defined by a matrix in place, given its QR decomposition with column pivoting.
  • solve_req
    Computes the size and alignment of required workspace for solving a linear system defined by a matrix out of place, given its QR decomposition with column pivoting.
  • solve_transpose
    Given the QR factors with column pivoting of a matrix $A$ and a matrix $B$ stored in rhs, this function computes the solution of the linear system: $$\text{Op}_A(A)^\top X = B.$$
  • solve_transpose_in_place
    Given the QR factors with column pivoting of a matrix $A$ and a matrix $B$ stored in rhs, this function computes the solution of the linear system in the sense of least squares: $$\text{Op}_A(A)\top X = B.$$
  • solve_transpose_in_place_req
    Computes the size and alignment of required workspace for solving a linear system defined by the transpose of a matrix in place, given its QR decomposition with column pivoting.
  • solve_transpose_req
    Computes the size and alignment of required workspace for solving a linear system defined by the transpose of a matrix ouf of place, given its QR decomposition with column pivoting.