numojo.routines.linalg.norms

Norms and other numbers (numojo.routines.linalg.norms)

This module provides functions for computing quantities related to linear algebra, such as determinants and traces.

Functions

det

Overload 1

det[dtype: DType](A: NDArray[dtype]) -> Scalar[dtype]

Find the determinant of A using LUP decomposition.

Parameters:

• dtype (DType)

Args:

• A (NDArray)

Returns:

• Scalar

Raises

Overload 2

det[dtype: DType](A: Matrix[dtype]) -> Scalar[dtype]

Find the determinant of A using LUP decomposition.

Parameters:

• dtype (DType)

Args:

• A (Matrix)

Returns:

• Scalar

Raises

trace

Overload 1

trace[dtype: DType](array: NDArray[dtype], offset: Int = 0, axis1: Int = 0, axis2: Int = 1) -> NDArray[dtype]

Computes the trace of a ndarray.

Parameters:

• dtype (DType): Data type of the array.

Args:

• array (NDArray): A NDArray.
• offset (Int): Offset of the diagonal from the main diagonal.
• axis1 (Int): First axis.
• axis2 (Int): Second axis.

Returns:

• NDArray

Raises

Overload 2

trace[dtype: DType](A: Matrix[dtype], offset: Int = 0) -> Scalar[dtype]

Return the sum along diagonals of the array.

Similar to numpy.trace.

Parameters:

• dtype (DType)

Args:

• A (Matrix)
• offset (Int)

Returns:

• Scalar

Raises