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PEIP (version 2.0-1)

Geophysical Inverse Theory and Optimization

Description

Several functions introduced in Aster et al.'s book on inverse theory. The functions are often translations of MATLAB code developed by the authors to illustrate concepts of inverse theory as applied to geophysics. Generalized inversion, tomographic inversion algorithms (conjugate gradients, 'ART' and 'SIRT'), non-linear least squares, first and second order Tikhonov regularization, roughness constraints, and procedures for estimating smoothing parameters are included. Includes a wrapper for the FORTRAN based 'LSQR' (Paige and Saunders) routine.

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Version

Install

install.packages('PEIP')

Monthly Downloads

269

Version

2.0-1

License

GPL (>= 2)

Maintainer

Jonathan Lees

Last Published

June 11th, 2015

Functions in PEIP (2.0-1)

setDesignG

Set a Design Matrix.
irlsl1reg

L1 least squares with sparsity
l_curve_corner

L Curve Corner
get_l_rough

One-D Roughening
GSVD

Generalized SVD
l_curve_tikh_svd

L-curve Tikhonov
ginv

Get inverse
chi2cdf

Chi-Sq CDF
bayes

Bayes Inversion
irls

Iteratively reweight least squares
kac

Kaczmarz
art

ART Inverse solution
rnk

Rank of Matrix
occam

Occam inversion
USV

Singular Value Decomposition
idcost

Inverse cosine transform
bartl

Bartlett window
gcv_function

gcv func
cgls

Conjugate gradient Least squares
error.bar

Plot Error Bar
Ainv

An Inverse Solution
Vnorm

Vector 2-Norm
blf2

Bounded least squares
nnz

Non-zeros
l_curve_tgsvd

L curve tgsvd
Mnorm

Matrix Norm
PEIP-package

Inverse Theory Functions for PEIP book
dcost

cosine transform
shawG

Shaw Model of Slit Diffraction
gcval

Get c-val
interp2grid

Bilinear and Bicubic Interpolation to Grid
chi

Chi function
picard_vals

Picard plot
tinv

Inverse T-distribution
l_curve_tikh_gsvd

L-curve tikh gsvd
phi

Integral of Normal Distribution
loadMAT

Load a Matlab matfile
chi2inv

Inverse Chi-Sq
quadlin

Lagrange multiplier technique
linesconst

Plot constant model
imagesc

Image Display
flipGSVD

Flip output of GSVD
mcmc

Maximum likelihood Models
plotconst

Plot constant model
phiinv

Inverse Normal Distribution Integral
lmarq

Lev-Marquardt Inversion
vspprofile

Vertical Seismic Profile In 1D
rlsqr

rlsqr
sirt

SIRT Algorithm for sparse matrix inversion