mathjs/docs/reference/functions/lsolve.md

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Function lsolve #

Finds one solution of a linear equation system by forwards substitution. Matrix must be a lower triangular matrix. Throws an error if there's no solution.

L * x = b

Syntax #

math.lsolve(L, b)

Parameters #

Parameter	Type	Description
L	Matrix, Array	A N x N matrix or array (L)
b	Matrix, Array	A column vector with the b values

Returns #

Type	Description
DenseMatrix | Array	A column vector with the linear system solution (x)

Throws #

Type	Description

Examples #

const a = [[-2, 3], [2, 1]]
const b = [11, 9]
const x = lsolve(a, b)  // [[-5.5], [20]]

See also #

lsolveAll, lup, slu, usolve, lusolve