Outer product: M = α·u⊗v + M · @brief Outer product: M

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This relation defines @brief Outer product: M in the source section “Outer product: M = α·u⊗v + M · @brief Outer product: M”. It specifies the displayed relationship between the named quantities or parameters. Its interpretation depends on the source’s stated variables and conditions; this record does not assign an unprovided physical or cognitive meaning to them.

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

1. Read @brief Outer product: M as the quantity being defined or updated by this relation.

2. Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.

3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

• This source expression was recovered from the pinned code revision. Its presence does not establish that the associated program was built, run, or scientifically validated.

Original context

        for (int j = 0; j < 16; ++j) {
            out[i] += M[i * 16 + j] * v[j];
        }
    }
}

/**
 * @brief Outer product: M = α·u⊗v + M
 */
inline void outer_product_add(double* M, const double* u, const double* v,
                               size_t n, double alpha = 1.0) {
    for (size_t i = 0; i < n; ++i) {
        for (size_t j = 0; j < n; ++j) {
            M[i * n + j] += alpha * u[i] * v[j];
        }
    }
}

@brief Outer product: M = α·u⊗v + M

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