Module extendr_api::prelude::modules::qr::col_pivoting::solve

Solving a linear system using the decomposition.

Functions

• 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.