Existence of Schur Decomposition for Square Matrix

Theorem

Let $\mathbf A$ be a square matrix.

Then there exists a Schur decomposition for $\mathbf A$.


Proof


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Sources

  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Schur decomposition (I. Schur, 1909)
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