Solve Linear System Ax = b

Solve the linear system Ax = b for x, where A is a square matrix and b is a vector. Uses LU decomposition with partial pivoting for numerical stability. Essential for portfolio optimization, computing implied parameters, solving equilibrium models, and inverting relationships. Returns the solution vector x. [Tier: BASIC, Credits: 1]

POST /quantlib/numerical/linalg/solve

Solve Linear System Ax = b

cURL

curl --request POST \
  --url https://api.fincept.in/quantlib/numerical/linalg/solve \
  --header 'Content-Type: application/json' \
  --header 'X-API-Key: <api-key>' \
  --data '
{
  "A": [
    [
      3,
      1
    ],
    [
      1,
      2
    ]
  ],
  "b": [
    9,
    8
  ]
}
'

200

{
  "success": true,
  "data": {
    "x": [
      2,
      3
    ]
  }
}

Authorizations

X-API-Key · string · header · required

API key for authentication. Get your key at https://api.fincept.in/auth/register

Body

application/json

A · number[][] · required

Coefficient matrix (n × n, must be non-singular)

Example:

[[3, 1], [1, 2]]

b · number[] · required

Right-hand side vector (n × 1)

Example:

[9, 8]

Response

200

application/json

Successful Response

success · boolean

Example:

true

data · object

Show child attributes