gram-schmidt ( matrix -- orthogonal )
Extra matrix operations

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Vocabulary
math.matrices.extras

Inputs

matrix

a matrix

Outputs

orthogonal

a matrix

Word description
Apply a Gram-Schmidt transform on the matrix.

Examples

USING: math.matrices.extras prettyprint ; { { 1 2 } { 3 4 } { 5 6 } } gram-schmidt .
{ { 1 2 } { 4/5 -2/5 } { 0 0 } }

Definition

USING: kernel math.matrices.extras.private sequences ;

IN: math.matrices.extras

: gram-schmidt ( matrix -- orthogonal )
    [ V{ } clone [ over (gram-schmidt) suffix! ] reduce ] keep
    like ;