Let Hk = I−2uuT be a Householder transformation with u = (0, . . . , 0, uk, uk+1, . . . , un)T Let b ∈ Rn and let A be an n × n matrix. How many additions and multiplications are necessary to compute (a) Hkb?; (b) HkA?
Let Hk = I−2uuT be a Householder transformation with u = (0, . . . , 0, uk, uk+1, . . . , un)T Let b ∈ Rn and let A be an n × n matrix. How many additions and multiplications are necessary to compute (a) Hkb?; (b) HkA?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 13E
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Let Hk = I−2uuT be a Householder transformation
with
u = (0, . . . , 0, uk, uk+1, . . . , un)T
Let b ∈ Rn and let A be an n × n matrix. How
many additions and multiplications are necessary
to compute (a) Hkb?; (b) HkA?
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