5.1. THE LINEAR CONJUGATE GRADIENT METHOD 10 set of nonzero vectors {Po, P1, ..., Pi} is said to be conjugate with respect to the symmetric positive definite matrix A if pl Ap; = 0, for all i j. (5.5) It is easy to show that any set of vectors satisfying this property is also linearly independent.
5.1. THE LINEAR CONJUGATE GRADIENT METHOD 10 set of nonzero vectors {Po, P1, ..., Pi} is said to be conjugate with respect to the symmetric positive definite matrix A if pl Ap; = 0, for all i j. (5.5) It is easy to show that any set of vectors satisfying this property is also linearly independent.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 32E
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Hi, my question is how to show that show
that any set of
![5.1.
THE LINEAR CONJUGATE GRADIENT METHOD
set of nonzero vectors {Po, P1, ·· Pi} is said to be conjugate with respect to the symmetric
positive definite matrix A if
pl Ap; = 0, for all i ‡ j.
It is easy to show that any set of vectors satisfying this property is also linearly independent.
(5.5)
103](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f401c93-8d9e-45bb-bc01-35bb5b580d08%2Fdbe0b809-f8cb-4076-9fce-d28175087336%2F0le0goq_processed.png&w=3840&q=75)
Transcribed Image Text:5.1.
THE LINEAR CONJUGATE GRADIENT METHOD
set of nonzero vectors {Po, P1, ·· Pi} is said to be conjugate with respect to the symmetric
positive definite matrix A if
pl Ap; = 0, for all i ‡ j.
It is easy to show that any set of vectors satisfying this property is also linearly independent.
(5.5)
103
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