If you ask a layperson to describe geometry, they will likely talk about triangles with angles summing to 180 degrees, parallel lines that never meet, and the rigid perfection of a flat sheet of paper. This is Euclidean geometry—the comfortable intuition we develop in high school.

Evaluating how fast a method approaches a solution and understanding why it might fail.

: Once you have an answer, go back and check your work. Consider whether your answer makes sense in the context of the problem.

: Stop when the "residual" (the difference between the sides of the equation) is smaller than a tiny threshold (like 10-610 to the negative 6 power MATH 6644 : Iterative Methods for Systems of Equations - GT

Next week: Conjugate Gradient methods for non-symmetric systems. Bring your coffee.

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If you ask a layperson to describe geometry, they will likely talk about triangles with angles summing to 180 degrees, parallel lines that never meet, and the rigid perfection of a flat sheet of paper. This is Euclidean geometry—the comfortable intuition we develop in high school.

Evaluating how fast a method approaches a solution and understanding why it might fail. math 6644

: Once you have an answer, go back and check your work. Consider whether your answer makes sense in the context of the problem. If you ask a layperson to describe geometry,

: Stop when the "residual" (the difference between the sides of the equation) is smaller than a tiny threshold (like 10-610 to the negative 6 power MATH 6644 : Iterative Methods for Systems of Equations - GT : Once you have an answer, go back and check your work

Next week: Conjugate Gradient methods for non-symmetric systems. Bring your coffee.