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linalg[dotprod] - Vector dot (scalar) product
Calling Sequence
dotprod(u, v)
dotprod(u, v, 'orthogonal')
Parameters
u, v
-
lists of the same length or vectors of the same dimension
orthogonal
(optional) assume an orthogonal vector space
Description
Important: The linalg package has been deprecated. Use the superseding packages, LinearAlgebra and VectorCalculus, instead.
- For information on migrating linalg code to the new packages, see examples/LinearAlgebraMigration.
If called with only two arguments, dotprod computes the vector dot product using the standard definition for a vector space over the complex field: sum u[i]*conjugate(v[i]), as i ranges over the length of u and v.
If the third argument 'orthogonal' is specified, dotprod will compute the vector dot product using the definition: sum u[i]*v[i], as i ranges over the length of u and v.
If u and v are real vectors, then the two forms of dotprod are equivalent.
The command with(linalg,dotprod) allows the use of the abbreviated form of this command.
Examples
See Also
evalc, linalg(deprecated)[crossprod], linalg(deprecated)[innerprod], LinearAlgebra, LinearAlgebra[DotProduct], VectorCalculus[DotProduct]
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