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I am going to write a custom solver for linear system.

I would like to survey the typical problems involved the linear system solving in games. So that I can custom optimization on these problems based on the shape of the matrix.

currently I am focus on these problems:

  • B-Spline editing (I use a linear solve to resolve the C0, C1, C2 continuity)

  • Constraint in Simulation (especially Position-Constraint, cloth)

Both of them are Banded Matrix.

I want to hear about some other applications of a linear system in games.

Thank you.

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