bem_regularized_qr Module

Reusable column-scaled QR factorization for ridge-regularized least squares.

Uses

- bem_kinds
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Used by

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Graph Key

Nodes of different colours represent the following:

Solid arrows point from a submodule to the (sub)module which it is descended from. Dashed arrows point from a module or program unit to modules which it uses.
Where possible, edges connecting nodes are given different colours to make them easier to distinguish in large graphs.

Derived Types

type, public :: regularized_qr_type

Components

Type	Visibility	Attributes		Name		Initial
real(kind=dp),	public,	allocatable	::	q(:,:)
real(kind=dp),	public,	allocatable	::	r(:,:)
real(kind=dp),	public,	allocatable	::	col_scale(:)
integer(kind=i32),	public		::	mrow	=	0_i32
integer(kind=i32),	public		::	ncol	=	0_i32
integer(kind=i32),	public		::	preparation_count	=	0_i32

Subroutines

public subroutine prepare_regularized_qr(factorization, matrix, ridge, qr_tolerance)

Arguments

Type	Intent	Optional	Attributes		Name
type(regularized_qr_type),	intent(inout)			::	factorization
real(kind=dp),	intent(in)			::	matrix(:,:)
real(kind=dp),	intent(in)			::	ridge
real(kind=dp),	intent(in)			::	qr_tolerance

public subroutine solve_regularized_qr(factorization, rhs, solution)

Arguments

Type	Intent	Optional	Attributes		Name
type(regularized_qr_type),	intent(in)			::	factorization
real(kind=dp),	intent(in)			::	rhs(:)
real(kind=dp),	intent(out)			::	solution(:)