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are ubiquitous in scientific and engineering domains. Classical approaches rely on either direct factorisations (LU, Cholesky) – infeasible for massive sparse matrices due to fill‑in – or iterative Krylov‑subspace methods (CG, GMRES, BiCGSTAB) that depend critically on matrix conditioning and preconditioning strategies.

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Here are the essential concepts to grasp: are ubiquitous in scientific and engineering domains

VQLS formulates the solution as the minimisation of a loss : It could be a specific product, part,

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: It could be a specific product, part, or model number from a company. In this case, more context about the product or its manufacturer would be needed.

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