Suppose A 11 is invertible. Find X and Y such that where S = A 22 -
Question:
Suppose A11 is invertible. Find X and Y such that
where S = A22 - A21 A-¹11 A12. The matrix S is called the
Schur complement of A11. Likewise, if A22 is invertible, the matrix A11 - A12 4-122 421 is called the Schur complement of A22. Such expressions occur frequently in the theory of
systems engineering, and elsewhere.
Transcribed Image Text:
I A₁ 0 12]=[][^" $16 XI A11 A12 A21 A22 Y S 0 I
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Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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