Hello I am in a Numerical Analysis class and can't seem to find any information on this online or in the textbook.
Strictly Diagonallly Dominant = SDD
What is the significance of the SDD matrix?
How does it relate to say the Jacobi Method or Gauss Seidel Method?
Is there any significant or interesting results relating to the eigenvalues of a SDD matrix?
Importance of SDD in a system $Ax=b$, if any?
If theirs anything else important I should know about SDD matrices please tell me!
There is a theorem called Gerschgorin's circle theorem that depends on SDD matrices.
The Jacobi method and Gauss Seidel method converge if the matrix is SDD
See Gershgorin's circle theorem. Every eigenvalue of $A$ lies within at least one of the discs.
Both of the methods you mentioned solve the $Ax=b$ problem.