Function backsolve

backsolve(
    r: MatrixInput,
    x: readonly number[] | Float64Array<ArrayBufferLike>,
    options?: BacksolveOptions,
): number[]
Solves the triangular system r y = x with a vector right-hand side. Equivalent to R's backsolve().

Only the top-left k x k triangle of r (upper by default) and the first k elements of x are used. Throws if a diagonal element is exactly zero.
Parameters
- r: MatrixInput
  A triangular matrix (array of rows).
- x: readonly number[] | Float64Array<ArrayBufferLike>
  The right-hand side vector.
- Optionaloptions: BacksolveOptions
  See BacksolveOptions.
Returns number[]
The solution y, a vector of length k.
Example
```
backsolve([[2, 1], [0, 4]], [4, 8]);              // [1, 2]
backsolve([[2, 1], [0, 4]], [[4, 2], [8, 4]]);    // [[1, 0.5], [2, 1]]
```
- Defined in linalg/basic.ts:141
backsolve(
    r: MatrixInput,
    x: MatrixInput,
    options?: BacksolveOptions,
): number[][]
Solves the triangular system r y = x with a matrix right-hand side.
Parameters
- r: MatrixInput
  A triangular matrix (array of rows).
- x: MatrixInput
  The right-hand side matrix (array of rows); only its first k rows are used.
- Optionaloptions: BacksolveOptions
  See BacksolveOptions.
Returns number[][]
The solution y, a matrix with k rows.
- Defined in linalg/basic.ts:150
backsolve(
    r: MatrixInput,
    x: VectorOrMatrix,
    options?: BacksolveOptions,
): number[] | number[][]
Solves the triangular system r y = x.
Parameters
- r: MatrixInput
  A triangular matrix (array of rows).
- x: VectorOrMatrix
  The right-hand side, a vector or a matrix.
- Optionaloptions: BacksolveOptions
  See BacksolveOptions.
Returns number[] | number[][]
A vector if x is a vector, otherwise a matrix with k rows.
- Defined in linalg/basic.ts:159

Function backsolve

Parameters

Returns number[]

Example

Parameters

Returns number[][]

Parameters

Returns number[] | number[][]

Settings