NA008 Matrix Norm Proofs: Bounding and Limit Equivalence (1-Norm and Infinity-Norm)
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NA008 Matrix Norm Proofs: Bounding and Limit Equivalence (1-Norm and Infinity-Norm)
This JC Mini-Lecture walks through key proofs involving the 1-norm and infinity-norm of matrices. It shows how to find explicit constants that bound one norm in terms of the other, and proves that convergence in one norm implies convergence in the other. The final result uses the squeeze theorem to establish the equivalence of limit behavior ...
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