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Schur complement

Block elimination for determinant and inverse

This chapter introduces block partition of square matrices and defines the Schur complement S = D - C A⁻¹ B, then uses it to compute determinants and inverses by block-level elimination.

Chapter contents

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Topic Pages
Block partition of square matrix 1
Definition of Schur complement 2
Schur complement for determinant computation 3
Schur complement for M⁻¹ computation 4–5
Summary 6–7

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