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PEIP (version 2.2-3)

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.

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Version

Install

install.packages('PEIP')

Monthly Downloads

374

Version

2.2-3

License

GPL (>= 2)

Maintainer

Jonathan Lees

Last Published

August 29th, 2020

Functions in PEIP (2.2-3)

GSVD

Generalized SVD
USV

Singular Value Decomposition
art

ART Inverse solution
Mnorm

Matrix Norm
bayes

Bayes Inversion
Vnorm

Vector 2-Norm
blf2

Bounded least squares
bartl

Bartlett window
PEIP-package

Inverse Theory Functions for PEIP book
Ainv

An Inverse Solution
chi2cdf

Chi-Sq CDF
gcval

Get c-val
ginv

Get inverse
nnz

Non-zeros
idcost

Inverse cosine transform
mcmc

Maximum likelihood Models
get_l_rough

One-D Roughening
flipGSVD

Flip output of GSVD
tinv

Inverse T-distribution
dcost

cosine transform
error.bar

Plot Error Bar
cgls

Conjugate gradient Least squares
irls

Iteratively reweight least squares
irlsl1reg

L1 least squares with sparsity
loadMAT

Load a Matlab matfile
lmarq

Lev-Marquardt Inversion
vspprofile

Vertical Seismic Profile In 1D
occam

Occam inversion
l_curve_tikh_gsvd

L-curve tikh gsvd
chi2inv

Inverse Chi-Sq
l_curve_tgsvd

L curve tgsvd
phi

Integral of Normal Distribution
l_curve_corner

L Curve Corner
gcv_function

gcv func
kac

Kaczmarz
plotconst

Plot constant model
quadlin

Lagrange multiplier technique
interp2grid

Bilinear and Bicubic Interpolation to Grid
chi

Chi function
imagesc

Image Display
picard_vals

Picard plot
sirt

SIRT Algorithm for sparse matrix inversion
shawG

Shaw Model of Slit Diffraction
linesconst

Plot constant model
phiinv

Inverse Normal Distribution Integral
l_curve_tikh_svd

L-curve Tikhonov
rnk

Rank of Matrix
setDesignG

Set a Design Matrix.