“orthonormalize”的英文意思_释义_用法

单词

orthonormalize

释义

orthonormalize, v. Math.|ˌɔːθəʊˈnɔːməlaɪz|
[f. prec. + -ize.]
trans. To make (a set of vectors or functions) orthonormal by orthogonalizing them and then multiplying each by an appropriate factor. Hence ˌorthonormaˈlization.
1935Trans. Amer. Math. Soc. XXXVII. 309 When we orthonormalize {ob}T^{* - 1}χ_i{cb} we obtain {ob}ϕ_i{cb}.1968B. Kripke Introd. Anal. iii. 57 Orthonormalize the functions 1, x, x² with respect to the inner product [f, g] = ∫¹₀ f(x)g(x)dx on {scrC}([0, 1]).1972A. Kyrala Appl. Functions Complex Variable xiii. 318 Establish the orthonormalization relations..for the associated Legendre functions.1974Adby & Dempster Introd. Optimization Methods iv. 89 Rosenbrock's method with linear search does not exhibit quadratic termination, due to the orthonormalization of the search directions in the second part of each iteration and the alignment of one of them towards the minimum.

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