LinearBasisFactory¶

class LinearBasisFactory(*args)¶

Linear basis factory.

The linear basis is the collection of functions $\psi_k: \mathbb{R}^d \mapsto \mathbb{R}$ for $0 \leq k \leq d$ defined:

$\psi_0(x_1, \dots, x_d) & = 1 \\ \psi_k(x_1, \dots, x_d) & = x_k \mbox{for } 1 \leq k \leq d$

Parameters:

dimensionint: Input dimension $d$ of the basis.

Methods

`build`()	Build the basis.
`getClassName`()	Accessor to the object's name.
`getName`()	Accessor to the object's name.
`hasName`()	Test if the object is named.
`setName`(name)	Accessor to the object's name.

See also

BasisFactory, ConstantBasisFactory, QuadraticBasisFactory

Examples

>>> import openturns as ot
>>> basis = ot.LinearBasisFactory(2).build()
>>> psi_1 = basis.build(1)
>>> print(psi_1)
class=LinearEvaluation name=Unnamed center=[0,0] constant=[0] linear=[[ 1 ]
 [ 0 ]]