I want to use the function equilibrate, but I don’t understand the following written in Rescaling to Solve a Linear System.
"equilibrate is most useful when the scales of the b and x vectors in the original system x = Ab are irrelevant. However, if the scales of b and x are relevant, then using equilibrate to rescale A only for the linear system solve is not recommended. The obtained solution does not generally yield a small residual for the original system, even if expressed using the original basis vectors."
Could someone explain the meaning of this with an example?I want to use the function equilibrate, but I don’t understand the following written in Rescaling to Solve a Linear System.
"equilibrate is most useful when the scales of the b and x vectors in the original system x = Ab are irrelevant. However, if the scales of b and x are relevant, then using equilibrate to rescale A only for the linear system solve is not recommended. The obtained solution does not generally yield a small residual for the original system, even if expressed using the original basis vectors."
Could someone explain the meaning of this with an example? I want to use the function equilibrate, but I don’t understand the following written in Rescaling to Solve a Linear System.
"equilibrate is most useful when the scales of the b and x vectors in the original system x = Ab are irrelevant. However, if the scales of b and x are relevant, then using equilibrate to rescale A only for the linear system solve is not recommended. The obtained solution does not generally yield a small residual for the original system, even if expressed using the original basis vectors."
Could someone explain the meaning of this with an example? matrices MATLAB Answers — New Questions

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