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Write a program GradientC that computes the solution of using the conjugate gradient method In these exercises A € M₂ (R) is always a symmetric positive definite matrix. We recall that the following two problems are equivalent: Data: A and b. Output: x (approximation of 2) Initialization: min {f(x)=(Ar, 2) - (b, x)}, ZER" choose x € R" computer = b - Ax set p=r compute y = ||||² While |||| > € y = Ap a = (-p) x = x + ap r=r-ay 3=11² 7 7=||||² p=r+ ³p End While : Conjugate gradient algorithm.

Write a program GradientC that computes the solution of using the conjugate gradient method In these exercises A € M₂ (R) is always a symmetric positive definite matrix. We recall that the following two problems are equivalent: Data: A and b. Output: x (approximation of 2) Initialization: min {f(x)=(Ar, 2) - (b, x)}, ZER" choose x € R" computer = b - Ax set p=r compute y = ||||² While |||| > € y = Ap a = (-p) x = x + ap r=r-ay 3=11² 7 7=||||² p=r+ ³p End While : Conjugate gradient algorithm.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Write a program GradientC that computes the solution of using the conjugate gradient method In these exercises A € M₂ (R) is always a symmetric positive definite matrix. We recall that the following two problems are equivalent: min {f(x) = {(Ax, x) — (b, x)}, Data: A and b. Output: x (approximation of 2) Initialization: choose x € R" computer b- Ax set p = r compute y = ||||² While |||| > € y = Ap a = (y-P) x = x + ap r=r-ay B=LL 9 7=||rl|² p=r+Bp End While : Conjugate gradient algorithm.
Transcribed Image Text:Write a program GradientC that computes the solution of using the conjugate gradient method In these exercises A € M₂ (R) is always a symmetric positive definite matrix. We recall that the following two problems are equivalent: min {f(x) = {(Ax, x) — (b, x)}, Data: A and b. Output: x (approximation of 2) Initialization: choose x € R" computer b- Ax set p = r compute y = ||||² While |||| > € y = Ap a = (y-P) x = x + ap r=r-ay B=LL 9 7=||rl|² p=r+Bp End While : Conjugate gradient algorithm.
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