Inverse of a leading submtrix



Hi to everybody!

I have the following problem:
given a square matrix A definite positive, let B be the matrix obtained from
A eliminating the last row and column. Supposing that B is definite
positive, how can I get the A^(-1) having B^(-1) quickly?
What is the relationship between A^(-1) and B^(-1)?

Thank you!!!
Bye,
Eve




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