1. All that remains is to compute this matrix-vector product . 2. Here the vector product is taken elementwise. 3. As a rule of thumb, a dislocation will be invisible in a topograph if the vector product 4. Matrix-vector product becomes a cross product of a vector with itself, ensuring result is zero: 5. Thus the vector product in Eq ( 8 ), for example, will result in a single numerical value. 6. The graph colouring techniques explore sparsity patterns of the Hessian matrix and cheap Hessian vector products to obtain the entire matrix. 7. He would also supply notation for the scalar and vector products , which was introduced in " algebras over a field. 8. Matrix-free methods require only a function that performs a matrix-vector product for a given vector, on every iteration. 9. Because \ vec { E } is in the vector product , left-and right-handed polarization waves should induce magnetization of opposite signs. 10. In order to remove the need to calculate the jacobian, the jacobian vector product is formed instead, which is in fact a vector itself.
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