Given a square $n\times n$ matrix $A$, I want to develop a measure of how close the matrix $A$ is to a triangular form.
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That is an interesting idea. What is your question, though? – Nick Peterson Jun 15 '13 at 03:31
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For what purpose? – Qiaochu Yuan Jun 15 '13 at 03:39
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Can you simply calculate the Frobenius norm of its strictly lower triangular part? – user1551 Jun 15 '13 at 08:53