wowo0709

wowo0709

큰 사람이 되려면 큰 물에서 놀아라

[NumericalAnalysis] Column spaces and QR 1

less than 1 minute read


Setup

image-20211013114916271



Orthogonality

When QTQ = In x n

image-20211013115018874


Isometry Properties

image-20211013115049928


Geometric Interpretation

image-20211013115119017



Least squares

Alternative Intuition for Least-squares

image-20211013115201821


Lemma: Column space invariance

image-20211013115234596


New strategy: QR Factorization

image-20211013115300947



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