# Numerical Linear Algebra

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### LS/LN symmetric

(well conditioned)

multi-dim.

analysis,

polar dec., etc.

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i

i

d

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j

j

j

i

j

j

j

i

i

2

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j

j

j

k

k

2

j

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## [ ⋯ ϕ(∥p⋮i⋮−qj∥)⋯ ] ⋅α=[f⋮⋮i]

j

j

j

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3

2

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2

2x

2

2y

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i , j

i

j

ij

ij

i ,i

vjN1(vi)

i , j

ij

ij

i

j

j1

j+1

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### solve

(back/forward substitutions)

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(i+1)

1

(i)

(i+1)

1

(i)

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### Direct

(with dense blocks)

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T

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j

j

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### – overheads: initialization, conversions, storage

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