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Householder变换是一种简洁而有意思的线性变换,也可称为 镜面反射变换。 将其用矩阵表示为:设 w 为 单位向量,即 w^Tw=1 ,则Householder 变换矩阵 为 H=I-2ww^ {T} 。 如何理解这个矩阵,可以考虑如下两个向量: w,w^Tw=1 ,则 Hw= (I-2ww^T)w=w-2w (w^Tw)=-w 。 v:w^Tv=0 ,则 Hv= (I-2ww^T)v=v-2w (w^Tv)=v 。 这说明对于向量 w ,Householder矩阵的作用是将其反向,对于垂直于向量 w 的向量 v ,Householder矩阵对其不产生改变。 那么对于一般的向量 \alpha ,经过Householder矩阵作用后,平行于 w 的分量反向,垂直于 w 的分量保持不变。
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Householder Definition & Meaning - Merriam-Webster
The meaning of HOUSEHOLDER is a person who occupies a house or tenement alone or as the head of a household.
householder noun - Definition, pictures, pronunciation and ...
Definition of householder noun from the Oxford Advanced Learner's Dictionary. a person who owns or rents the house that they live in. Police are warning local householders to keep windows closed. Single householders receive a 20% discount on their council tax. They are launching a new energy saving campaign aimed at householders.
householder, n. meanings, etymology and more | Oxford English ...
What does the noun householder mean? There are three meanings listed in OED's entry for the noun householder. See ‘Meaning & use’ for definitions, usage, and quotation evidence. householder has developed meanings and uses in subjects including. How common is the noun householder? About 2 occurrences per million words in modern written English.
HOUSEHOLDER definition and meaning | Collins English Dictionary
The householder is the person who owns or rents a particular house. Millions of householders are eligible to claim the new council tax benefit. Synonyms: occupant , resident , tenant , proprietor More Synonyms of householder
HOUSEHOLDER | English meaning - Cambridge Dictionary
First, each person is classified as a householder or not. By encouraging householders to take a participatory role in the process of waste removal, these guides helped to demystify modern sewerage. What the householder expelled as waste returned as dangerous gases.
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