# Subfactor Multiplication Functions Multiply subfactors by matrices and vectors. ## Topics ### Subfactor and dense matrix multiplication [`func SparseMultiply(SparseOpaqueSubfactor_Double, DenseMatrix_Double)`](/documentation/Accelerate/SparseMultiply(_:_:)-88trz) Performs the multiply operation *Y* *= Subfactor * X,* __in place on a dense matrix of double-precision values. [`func SparseMultiply(SparseOpaqueSubfactor_Float, DenseMatrix_Float)`](/documentation/Accelerate/SparseMultiply(_:_:)-3r4mf) Performs the multiply operation *Y*_ _*= Subfactor * X*, in place on a dense matrix of single-precision values. [`func SparseMultiply(SparseOpaqueSubfactor_Double, DenseMatrix_Double, DenseMatrix_Double)`](/documentation/Accelerate/SparseMultiply(_:_:_:)-4nosz) Performs the multiply operation *Y* *= Subfactor * X* on a dense matrix of double-precision values. [`func SparseMultiply(SparseOpaqueSubfactor_Float, DenseMatrix_Float, DenseMatrix_Float)`](/documentation/Accelerate/SparseMultiply(_:_:_:)-88stx) Performs the multiply operation *Y* *= Subfactor * X* on a dense matrix of single-precision values. [`func SparseMultiply(SparseOpaqueSubfactor_Complex_Float, DenseMatrix_Complex_Float)`](/documentation/Accelerate/SparseMultiply(_:_:)-34fp6) Perform the multiply operation `Y = Subfactor * X` in place for complex float values. [`func SparseMultiply(SparseOpaqueSubfactor_Complex_Float, DenseVector_Complex_Float)`](/documentation/Accelerate/SparseMultiply(_:_:)-3dwed) Perform the multiply operation `y = Subfactor * x` for complex floatr values, in place. [`func SparseMultiply(SparseOpaqueSubfactor_Complex_Float, DenseMatrix_Complex_Float, DenseMatrix_Complex_Float)`](/documentation/Accelerate/SparseMultiply(_:_:_:)-6wrnf) Perform the multiply operation `Y = Subfactor * X` for complex float values. [`func SparseMultiply(SparseOpaqueSubfactor_Complex_Double, DenseMatrix_Complex_Double, DenseMatrix_Complex_Double)`](/documentation/Accelerate/SparseMultiply(_:_:_:)-7q8gs) Perform the multiply operation `Y = Subfactor * X` for complex double values. ### Subfactor and dense matrix multiplication with user-defined workspace [`func SparseMultiply(SparseOpaqueSubfactor_Double, DenseMatrix_Double, UnsafeMutableRawPointer)`](/documentation/Accelerate/SparseMultiply(_:_:_:)-20xvs) Performs the multiply operation *Y* *= Subfactor * X*, in place on a dense matrix of double-precision values and without any internal memory allocations. [`func SparseMultiply(SparseOpaqueSubfactor_Float, DenseMatrix_Float, UnsafeMutableRawPointer)`](/documentation/Accelerate/SparseMultiply(_:_:_:)-6thvw) Performs the multiply operation *Y* *= Subfactor * X*, in place on a dense matrix of single-precision values and without any internal memory allocations. [`func SparseMultiply(SparseOpaqueSubfactor_Double, DenseMatrix_Double, DenseMatrix_Double, UnsafeMutableRawPointer)`](/documentation/Accelerate/SparseMultiply(_:_:_:_:)-2osop) Performs the multiply operation *Y* *= Subfactor * X* on a dense matrix of double-precision values and without any internal memory allocations. [`func SparseMultiply(SparseOpaqueSubfactor_Float, DenseMatrix_Float, DenseMatrix_Float, UnsafeMutableRawPointer)`](/documentation/Accelerate/SparseMultiply(_:_:_:_:)-9v8hk) Performs the multiply operation *Y* *= Subfactor * X* on a dense matrix of single-precision values and without any internal memory allocations. [`func SparseMultiply(SparseOpaqueSubfactor_Complex_Float, DenseMatrix_Complex_Float, UnsafeMutableRawPointer)`](/documentation/Accelerate/SparseMultiply(_:_:_:)-6strd) Perform the multiply operation `Y = Subfactor * X `for complex float values, in place. [`func SparseMultiply(SparseOpaqueSubfactor_Complex_Double, DenseMatrix_Complex_Double, UnsafeMutableRawPointer)`](/documentation/Accelerate/SparseMultiply(_:_:_:)-7mdi8) Perform the multiply operation `Y = Subfactor * X `for complex double values, in place. [`func SparseMultiply(SparseOpaqueSubfactor_Complex_Float, DenseMatrix_Complex_Float, DenseMatrix_Complex_Float, UnsafeMutableRawPointer)`](/documentation/Accelerate/SparseMultiply(_:_:_:_:)-581zl) Perform the multiply operation `Y = Subfactor * X` for complex float values. ### Subfactor and dense vector multiplication [`func SparseMultiply(SparseOpaqueSubfactor_Double, DenseVector_Double)`](/documentation/Accelerate/SparseMultiply(_:_:)-8ehhn) Performs the multiply operation *Y = Subfactor * X*, in place on a vector of double-precision values. [`func SparseMultiply(SparseOpaqueSubfactor_Float, DenseVector_Float)`](/documentation/Accelerate/SparseMultiply(_:_:)-7l3sr) Performs the multiply operation *Y = Subfactor * X*, in place on a vector of single-precision values. [`func SparseMultiply(SparseOpaqueSubfactor_Double, DenseVector_Double, DenseVector_Double)`](/documentation/Accelerate/SparseMultiply(_:_:_:)-6abql) Performs the multiply operation *Y = Subfactor * X* on a vector of double-precision values. [`func SparseMultiply(SparseOpaqueSubfactor_Float, DenseVector_Float, DenseVector_Float)`](/documentation/Accelerate/SparseMultiply(_:_:_:)-2h425) Performs the multiply operation *Y = Subfactor ** *X* on a vector of single-precision values. [`func SparseMultiply(SparseOpaqueSubfactor_Complex_Double, DenseMatrix_Complex_Double)`](/documentation/Accelerate/SparseMultiply(_:_:)-3s0hu) Perform the multiply operation `Y = Subfactor * X` in place for complex double values. [`func SparseMultiply(SparseOpaqueSubfactor_Complex_Double, DenseVector_Complex_Double)`](/documentation/Accelerate/SparseMultiply(_:_:)-9fn7j) Perform the multiply operation `y = Subfactor * x` for complex double values, in place. [`func SparseMultiply(SparseOpaqueSubfactor_Complex_Double, DenseVector_Complex_Double, DenseVector_Complex_Double)`](/documentation/Accelerate/SparseMultiply(_:_:_:)-4fwfv) Perform the multiply operation `y = Subfactor * x` for complex double values.. [`func SparseMultiply(SparseOpaqueSubfactor_Complex_Float, DenseVector_Complex_Float, DenseVector_Complex_Float)`](/documentation/Accelerate/SparseMultiply(_:_:_:)-58wuo) Perform the multiply operation `y = Subfactor * x` for complex float values.. [`func SparseMultiply(SparseOpaqueSubfactor_Complex_Float, DenseMatrix_Complex_Float, DenseMatrix_Complex_Float)`](/documentation/Accelerate/SparseMultiply(_:_:_:)-6wrnf) Perform the multiply operation `Y = Subfactor * X` for complex float values. ### Subfactor and dense vector multiplication with user-defined workspace [`func SparseMultiply(SparseOpaqueSubfactor_Double, DenseVector_Double, UnsafeMutableRawPointer)`](/documentation/Accelerate/SparseMultiply(_:_:_:)-9tahm) Performs the multiply operation *Y = Subfactor * X* on a vector of double-precision values *X*, in place and without any internal memory allocations. [`func SparseMultiply(SparseOpaqueSubfactor_Float, DenseVector_Float, UnsafeMutableRawPointer)`](/documentation/Accelerate/SparseMultiply(_:_:_:)-4u1y3) Performs the multiply operation *Y = Subfactor * X* on a vector of single-precision values *X*, in place and without any internal memory allocations. [`func SparseMultiply(SparseOpaqueSubfactor_Double, DenseVector_Double, DenseVector_Double, UnsafeMutableRawPointer)`](/documentation/Accelerate/SparseMultiply(_:_:_:_:)-1ooyi) Performs the multiply operation *Y = Subfactor * X* on a vector of double-precision values *X*, without any internal memory allocations. [`func SparseMultiply(SparseOpaqueSubfactor_Float, DenseVector_Float, DenseVector_Float, UnsafeMutableRawPointer)`](/documentation/Accelerate/SparseMultiply(_:_:_:_:)-3l60d) Performs the multiply operation *Y = Subfactor * X* on a vector of double-precision values *X*, without any internal memory allocations. [`func SparseMultiply(SparseOpaqueSubfactor_Complex_Double, DenseVector_Complex_Double, UnsafeMutableRawPointer)`](/documentation/Accelerate/SparseMultiply(_:_:_:)-5etjg) Perform the multiply operation `y = Subfactor * x` in place for complex double values. [`func SparseMultiply(SparseOpaqueSubfactor_Complex_Float, DenseVector_Complex_Float, UnsafeMutableRawPointer)`](/documentation/Accelerate/SparseMultiply(_:_:_:)-5kh07) Perform the multiply operation `y = Subfactor * x` in place for complex float values. [`func SparseMultiply(SparseOpaqueSubfactor_Complex_Float, DenseVector_Complex_Float, DenseVector_Complex_Float, UnsafeMutableRawPointer)`](/documentation/Accelerate/SparseMultiply(_:_:_:_:)-4xr8) Perform the multiply operation `y = Subfactor * x` for complex float values.. [`func SparseMultiply(SparseOpaqueSubfactor_Complex_Double, DenseVector_Complex_Double, DenseVector_Complex_Double, UnsafeMutableRawPointer)`](/documentation/Accelerate/SparseMultiply(_:_:_:_:)-7xipz) Perform the multiply operation `y = Subfactor * x` for complex double values. [`func SparseMultiply(SparseOpaqueSubfactor_Complex_Double, DenseMatrix_Complex_Double, DenseMatrix_Complex_Double, UnsafeMutableRawPointer)`](/documentation/Accelerate/SparseMultiply(_:_:_:_:)-9v0nu) Perform the multiply operation `Y = Subfactor * X` for complex double values. --- Copyright © 2026 Apple Inc. All rights reserved. | [Terms of Use](https://www.apple.com/legal/internet-services/terms/site.html) | [Privacy Policy](https://www.apple.com/privacy/privacy-policy)