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Orthogonalization

In linear algebra, orthogonalization is the process of finding a set of orthogonal vectors that span a particular subspace. Formally, starting with a linearly independent set of vectors {v1, ... , vk} in an inner product space (most commonly the Euclidean space Rn), orthogonalization results in a set of orthogonal vectors {u1, ... , uk} that generate the…

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Overview

Orthogonalization algorithms

Local orthogonalization

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Orthogonalization

Nodes33
Edges32
Triples8
Avg. degree1.94
Density0.060606
Components1

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Orthogonalization

Top relations

related to Orthogonalization algorithms · 4
Orthogonalization → Gram, Methods, Schmidt, Singular
related to Local orthogonalization · 3
Orthogonalization → It, The, To
is a · 1
Orthogonalization → process of finding a set of orthogonal vectors that span a particular subspace

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Important terminology

vectors set orthogonal process vector span subspace symmetric linear v1 vk inner product also algorithms gram schmidt householder new local

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Orthogonalizationis aprocess of finding a set of orthogonal vectors that span a particular subspace0.90text
Orthogonalizationrelated to Local orthogonalizationTo0.60section
Orthogonalizationrelated to Local orthogonalizationThe0.60section
Orthogonalizationrelated to Local orthogonalizationIt0.60section
Orthogonalizationrelated to Orthogonalization algorithmsMethods0.60section
Orthogonalizationrelated to Orthogonalization algorithmsGram0.60section
Orthogonalizationrelated to Orthogonalization algorithmsSchmidt0.60section
Orthogonalizationrelated to Orthogonalization algorithmsSingular0.60section

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