simple-squiggle/node_modules/mathjs/docs/reference/functions/qr.md

Function qr

Calculate the Matrix QR decomposition. Matrix A is decomposed in two matrices (Q, R) where Q is an orthogonal matrix and R is an upper triangular matrix.

Syntax

math.qr(A)

Parameters

Parameter	Type	Description
A	Matrix | Array	A two dimensional matrix or array for which to get the QR decomposition.

Returns

Type	Description
{Q: Array | Matrix, R: Array | Matrix}	Q: the orthogonal matrix and R: the upper triangular matrix

Throws

Type	Description

Examples

const m = [
  [1, -1,  4],
  [1,  4, -2],
  [1,  4,  2],
  [1,  -1, 0]
]
const result = math.qr(m)
// r = {
//   Q: [
//     [0.5, -0.5,   0.5],
//     [0.5,  0.5,  -0.5],
//     [0.5,  0.5,   0.5],
//     [0.5, -0.5,  -0.5],
//   ],
//   R: [
//     [2, 3,  2],
//     [0, 5, -2],
//     [0, 0,  4],
//     [0, 0,  0]
//   ]
// }

See also

lup, lusolve