Least-squares solution of the modeling approach

 Solving for the model ${\bf m}$ in the modeling approach requires the inversion of a $2\times2$ block matrix. I derive the basic steps of this procedure in the following section. Then I derive the least-squares inverse of ${\bf m}$ in equation (). Finally, I give a geometric interpretation of the least-squares inverse.

 

• Inversion of a 2$\times$2 block matrix
• Inversion of the Hessian
• Geometric interpretation of the noise and signal filters
  • Definitions
  • General properties of the noise and signal filters
  • Geometric interpretation