LECTURES IN BASIC COMPUTATIONAL NUMERICAL ANALYSIS
Theorem 1.1 (Cauchy–Schwarz) Let S be an inner-product space with inner product h· ,·i and norm k· k2. If v,w ∈ S, then hv,wi ≤ kvk2 kwk2. (1.5) We have thus far introduced the 2-norm, the infinity norm and the inner product for spaces of finite-dimensional vectors. It is worth mentioning that similar definitions hold as well for ...
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