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I want to know what are the efficient way to invert a Sparse Matrix? Are there any algorithm,linear algebra or expansions that make this task easier with out actually inverting the matrix?

Thank you in advance

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    $\begingroup$ Do you want to calculate an inverse of a sparse matrix, or do you want to solve a sparse linear system? $\endgroup$ – Pseudonym Sep 3 '18 at 4:18
  • $\begingroup$ The equation I want to solve is mu*omega=Xi Now, omega and Xi is known term for me. I have to find out mu. So,the equation will be mu=omega.inverse().Xi . Now how could I solve it? $\endgroup$ – Saswati Sep 3 '18 at 14:21
  • $\begingroup$ Do you mean mu=Xi$\cdot$(omega.inverse()), since matrix multiplication is not commutative in general? $\endgroup$ – Apass.Jack Sep 3 '18 at 18:47
  • $\begingroup$ No. I mean mu=(omega.inverse()).Xi $\endgroup$ – Saswati Sep 3 '18 at 19:18
  • $\begingroup$ So, I guess (omega.inverse()).Xi = Xi * (omega.inverse())? If so, this usage of dot before the first Xi looks like unconventional to me. Are you using a particular kind of software package? $\endgroup$ – Apass.Jack Sep 3 '18 at 19:43

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