scalar multiplication


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scalar multiplication

[′skā·lər ‚məl·tə·pli′kā·shən]
(mathematics)
The multiplication of a vector from a vector space by a scalar from the associated field; this usually contracts or expands the length of a vector.
References in periodicals archive ?
distributivity of scalar multiplication with respect to vector addition: a(u + v)=au + av;
That's why, both the neutrosophic summation and neutrosophic multiplication (and implicitly their extensions neutrosophic scalar multiplication and neutrosophic power) can be defined in many ways, i.
m] is the computational time for scalar multiplication in [G.
This addition and scalar multiplication are called radial Blaschke addition and scalar multiplication.
e] represent one scalar multiplication, one pairing-based scalar multiplication, one point addition, one pairing computation, one modular multiplication, one modular inversion and one modular exponent, respectively.
Shown in Section 2, the computation of scalar multiplication based on the binary expansion [R.
with vector addition [direct sum] and scalar multiplication [cross product], such that for all r [member of] R and a, b [member of] G,
Scalar multiplication is the key operation in hyperelliptic curve cryptosystem.
2) G admits a scalar multiplication, [cross product], possessing the following properties.
Then E(K) is closed under addition and positive scalar multiplication.
The linear structure of L(R) induces addition X + Y and scalar multiplication [lambda]X, ([lambda] [member of] R) in terms of [alpha] level sets by [[X + Y].