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Stable Numerical Solution for Large Matrix ODE

The problem requires a stable method for numerically solving a matrix ODE of the form d/dz y = Ay, where A is a large matrix with a large L1 norm. Current methods like diagonalization and exp(A) are impractical or inaccurate due to floating-point errors. The goal is to find an alternative approach that can handle large matrices and provide accurate solutions.

Mathematics & logic, Mathematics, Differential Equations