operator_wrappers.f90 File Reference

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Functions/Subroutines
subroutine	k (y, x)
	Subroutine to apply \(K\) to a vector y in observation space where \(K := QH^T(HQH^T+R)^{-1}\). More...
subroutine	bprime (y, x, QHtR_1y, normaln, betan)
	subroutine to calculate nudging term and correlated random errors efficiently More...

Function/Subroutine Documentation

subroutine bprime	(	real(kind=rk), dimension(obs_dim,pf%count), intent(in)	y,
		real(kind=rk), dimension(state_dim,pf%count), intent(out)	x,
		real(kind=rk), dimension(state_dim,pf%count), intent(out)	QHtR_1y,
		real(kind=rk), dimension(state_dim,pf%count), intent(in)	normaln,
		real(kind=rk), dimension(state_dim,pf%count), intent(out)	betan
	)

subroutine to calculate nudging term and correlated random errors efficiently

Parameters

[in]	y	(obs_dim,pf%count) vectors of innovations \(y-H(x^{n-1})\)
[out]	x	(state_dim,pf%count) vectors of \(\rho H^TR^{-1}[y-H(x^{n-1})]\)
[out]	QHtR_1y	(state_dim,pf%count) vectors of \(\rho QH^TR^{-1}[y-H(x^{n-1})]\)
[in]	normaln	(state_dim,pf%count) uncorrelated random vectors such that normaln(:,i) \(\sim \mathcal{N}(0,I)\)
[out]	betan	(state_dim,pf%count) correlated random vectors such that betan(:,i) \(\sim \mathcal{N}(0,Q)\)

Definition at line 109 of file operator_wrappers.f90.

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subroutine k	(	real(kind=rk), dimension(obs_dim,pf%count), intent(in)	y,
		real(kind=rk), dimension(state_dim,pf%count), intent(out)	x
	)

Subroutine to apply \(K\) to a vector y in observation space where \(K := QH^T(HQH^T+R)^{-1}\).

Parameters

[in]	y	vector in observation space
[out]	x	vector in state space

Definition at line 32 of file operator_wrappers.f90.

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