gram-schmidt-normalize ( matrix -- orthonormal )
Extra matrix operations
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Vocabulary
math.matrices.extras

Inputs
matrixa matrix


Outputs
orthonormala matrix


Word description
Apply a Gram-Schmidt transform on the matrix, and normalize each row of the result, resulting in an orthogonal and normalized matrix (orthonormal).

Examples
USING: math.matrices.extras prettyprint ; { { 1 2 } { 3 4 } } gram-schmidt-normalize .
{ { 0.4472135954999579 0.8944271909999159 } { 0.894427190999916 -0.447213595499958 } }


Definition
USING: math.vectors sequences ;

IN: math.matrices.extras

: gram-schmidt-normalize ( matrix -- orthonormal )
gram-schmidt [ normalize ] map ; inline