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PEIP (version 2.2-5)

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

269

Version

2.2-5

License

GPL (>= 2)

Maintainer

Jonathan Lees

Last Published

August 21st, 2023

Functions in PEIP (2.2-5)

chi2cdf

Chi-Sq CDF
bayes

Bayes Inversion
blf2

Bounded least squares
get_l_rough

One-D Roughening
dcost

cosine transform
Vnorm

Vector 2-Norm
gcval

Get c-val
Mnorm

Matrix Norm
error.bar

Plot Error Bar
chi2inv

Inverse Chi-Sq
rnk

Rank of Matrix
flipGSVD

Flip output of GSVD
kac

Kaczmarz
setDesignG

Set a Design Matrix.
ginv

Get inverse
lmarq

Lev-Marquardt Inversion
l_curve_corner

L Curve Corner
cgls

Conjugate gradient Least squares
gcv_function

gcv func
chi

Chi function
idcost

Inverse cosine transform
irls

Iteratively reweight least squares
l_curve_tgsvd

L curve tgsvd
mcmc

Maximum likelihood Models
occam

Occam inversion
l_curve_tikh_gsvd

L-curve tikh gsvd
irlsl1reg

L1 least squares with sparsity
nnz

Non-zeros
plotconst

Plot constant model
phi

Integral of Normal Distribution
quadlin

Lagrange multiplier technique
imagesc

Image Display
loadMAT

Load a Matlab matfile
tinv

Inverse T-distribution
l_curve_tikh_svd

L-curve Tikhonov
interp2grid

Bilinear and Bicubic Interpolation to Grid
vspprofile

Vertical Seismic Profile In 1D
phiinv

Inverse Normal Distribution Integral
picard_vals

Picard plot
shawG

Shaw Model of Slit Diffraction
linesconst

Plot constant model
sirt

SIRT Algorithm for sparse matrix inversion
GSVD

Generalized SVD
Ainv

An Inverse Solution
USV

Singular Value Decomposition
art

ART Inverse solution
PEIP-package

Inverse Theory Functions for PEIP book
bartl

Bartlett window