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  • User Guide
  • API Reference
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Site Navigation

  • Getting Started
  • User Guide
  • API Reference
  • Release Notes
  • SimPEG
  • Contact

Section Navigation

  • Models and Mapping
    • Tensor Meshes
    • Cylindrical Meshes
    • Tree Meshes
  • Linear Problems
    • Linear Least-Squares Inversion
    • Sparse Inversion with Iteratively Re-Weighted Least-Squares
  • Gravity
    • Forward Simulation of Gravity Anomaly Data on a Tensor Mesh
    • Forward Simulation of Gradiometry Data on a Tree Mesh
    • Least-Squares Inversion of Gravity Anomaly Data
    • Sparse Norm Inversion of Gravity Anomaly Data
  • Magnetics
    • Forward Simulation of Total Magnetic Intensity Data
    • Forward Simulation of Gradiometry Data for Magnetic Vector Models
    • Sparse Norm Inversion for Total Magnetic Intensity Data on a Tensor Mesh
  • Direct Current Resistivity
    • Simulate a 1D Sounding over a Layered Earth
    • DC Resistivity Forward Simulation in 2.5D
    • DC Resistivity Forward Simulation in 3D
    • Convert 3D DC/IP Data to 2D Lines
    • Least-Squares 1D Inversion of Sounding Data
    • Sparse 1D Inversion of Sounding Data
    • Parametric 1D Inversion of Sounding Data
    • 2.5D DC Resistivity Least-Squares Inversion
    • 2.5D DC Resistivity Inversion with Sparse Norms
    • 3D Least-Squares Inversion of DC Resistivity Data
  • Induced Polarization
    • 2.5D Forward Simulation of a DCIP Line
    • DC/IP Forward Simulation in 3D
    • 2.5D DC Resistivity and IP Least-Squares Inversion
    • 3D Least-Squares Inversion of DC and IP Data
  • Frequency-Domain Electromagnetics
    • 1D Forward Simulation for a Single Sounding
    • 1D Forward Simulation for a Susceptible and Chargeable Earth
    • 3D Forward Simulation on a Cylindrical Mesh
    • 3D Forward Simulation on a Tree Mesh
    • 1D Inversion of for a Single Sounding
  • Time-Domain Electromagnetics
    • 1D Forward Simulation for a Single Sounding
    • 1D Forward Simulation with Chargeable and/or Magnetic Viscosity
    • 1D Forward Simulation with User-Defined Waveforms
    • 3D Forward Simulation for Transient Response on a Cylindrical Mesh
    • 3D Forward Simulation with User-Defined Waveforms
    • 1D Inversion of Time-Domain Data for a Single Sounding
  • Natural Source Electromagnetics
  • Viscous Remanent Magnetization
    • Response from a Homogeneous Layer for Different Waveforms
    • Forward Simulation of VRM Response on a Tree Mesh
    • Forward Simulation Including Inductive Response
  • Flow
  • Seismic
    • Forward Simulation for Straight Ray Tomography in 2D
    • Sparse Norm Inversion of 2D Seismic Tomography Data
  • Joint Inversion
    • Cross-gradient Joint Inversion of Gravity and Magnetic Anomaly Data
  • Petrophysically Guided Inversion
    • Joint PGI of Gravity + Magnetic on an Octree mesh using full petrophysical information
    • Joint PGI of Gravity + Magnetic on an Octree mesh without petrophysical information
  • Gallery
    • Mappings
      • Maps: Parametric Block in a Layer
      • Maps: ComboMaps
      • Maps: Parametrized Layer
      • Maps: Mesh2Mesh
      • Maps: ComboMaps
    • Gravity
      • PF: Gravity: Tiled Inversion Linear
    • Magnetics
      • PF: Magnetics: Analytics
      • Magnetic inversion on a TreeMesh
      • Magnetic inversion on a TreeMesh
      • Magnetic Amplitude inversion on a TreeMesh
    • DC Resistivity and Induced Polarization
      • DC Analytic Dipole
      • 3D DC inversion of Dipole Dipole array
      • Parametric DC inversion with Dipole Dipole array
      • Reading and Plotting data with DC.IO class
    • Frequency Domain Electromagnetics
      • Simulation with Analytic FDEM Solutions
      • 2D inversion of Loop-Loop EM Data
    • Time Domain Electromagnetics
      • Simulation with Analytic TDEM Solutions
      • Time-domain CSEM for a resistive cube in a deep marine setting
      • EM: TDEM: Permeable Target, Inductive Source
      • TDEM: Waveforms
      • EM: TDEM: 1D: Inversion
      • EM: TDEM: 1D: Inversion with VTEM waveform
    • Natural Source Electromagnetics
      • MT: 3D: Forward
    • Viscous Remanent Magnetization
      • Predict Response from a Conductive and Magnetically Viscous Earth
      • Method of Equivalent Sources for Removing VRM Responses
    • Richards Fluid Flow
      • FLOW: Richards: 1D: Forward Simulation
      • FLOW: Richards: 1D: Inversion
    • PGI: Petrophysically and Geologically guided Inversion
      • Petrophysically guided inversion (PGI): Linear example
      • Petrophysically guided inversion: Joint linear example with nonlinear relationships
    • In Publication
      • Heagy et al., 2017 1D RESOLVE and SkyTEM Bookpurnong Inversions
      • Heagy et al., 2017 1D RESOLVE Bookpurnong Inversion
      • Effective Medium Theory Mapping
      • Heagy et al., 2017 Casing Example
      • Heagy et al., 2017 1D FDEM and TDEM inversions
      • PF: Gravity: Laguna del Maule Bouguer Gravity
      • Heagy et al., 2017 Load and Plot Bookpurnong Data
      • FLOW: Richards: 1D: Celia1990
      • EM: Schenkel and Morrison Casing Model
      • Straight Ray with Volume Data Misfit Term
      • FLOW: Vadose: van Genuchten
  • User Guide
  • Linear Problems

Linear Problems#

Linear Least-Squares Inversion

Linear Least-Squares Inversion

Sparse Inversion with Iteratively Re-Weighted Least-Squares

Sparse Inversion with Iteratively Re-Weighted Least-Squares

Download all examples in Python source code: 02-linear_inversion_python.zip

Download all examples in Jupyter notebooks: 02-linear_inversion_jupyter.zip

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