Function schur #

Performs a real Schur decomposition of the real matrix A = UTU’ where U is orthogonal and T is upper quasi-triangular. https://en.wikipedia.org/wiki/Schur_decomposition

Syntax #

math.schur(A)

Parameters #

Parameter Type Description
A Array | Matrix Matrix A

Returns #

Type Description
{U: Array | Matrix, T: Array | Matrix} Object containing both matrix U and T of the Schur Decomposition A=UTU’

Throws #

Type | Description —- | ———–

Examples #

const A = [[1, 0], [-4, 3]]
math.schur(A) // returns {T: [[3, 4], [0, 1]], R: [[0, 1], [-1, 0]]}

See also #

sylvester, lyap, qr

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