nlcpy.eye

nlcpy.eye(N, M=None, k=0, dtype=<class 'float'>, order='C')[source]

Returns a 2-D array with ones on the diagonal and zeros elsewhere.

Parameters:
Nint

Number of rows in the output.

Mint, optional

Number of columns in the output. If None, defaults to N.

kint, optional

Index of the diagonal: 0 (the default) refers to the main diagonal, a positive value refers to an upper diagonal, and a negative value to a lower diagonal.

dtypedtype, optional

Data-type of the returned array.

order{‘C’, ‘F’}, optional

Whether the output should be stored in row-major (C-style) or column-major (Fortran-style) order in memory.

Returns:
Indarray

An array where all elements are equal to zero, except for the k-th diagonal, whose values are equal to one.

See also

identity

Returns the identity array.

diag

Extracts a diagonal or construct a diagonal array.

Examples

>>> import nlcpy as vp
>>> vp.eye(2, dtype=int)
array([[1, 0],
       [0, 1]])
>>> vp.eye(3, k=1)
array([[0., 1., 0.],
       [0., 0., 1.],
       [0., 0., 0.]])