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# SparseMultiply(_:_:_:_:)

Performs the multiply operation *Y = Subfactor * X* on a vector of double-precision values *X*, without any internal memory allocations.

```
func SparseMultiply(_ Subfactor: SparseOpaqueSubfactor_Double, _ X: DenseVector_Double, _ Y: DenseVector_Double, _ workspace: UnsafeMutableRawPointer)
```

## Parameters

`Subfactor`

The subfactor to multiply by, which [`SparseCreateSubfactor(_:_:)`](/documentation/Accelerate/SparseCreateSubfactor(_:_:)-49d8w) returns.

`X`

The vector *X*.

`Y`

The vector *Y*.

`workspace`

A workspace of size `workspaceRequiredStatic` `+` `workspaceRequiredPerRHS`.

## Discussion

---

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