# Sparse Matrix Factor Functions Compute the factorization of a matrix. ## Topics ### Matrix factorization functions [`func SparseFactor(SparseFactorization_t, SparseMatrix_Double) -> SparseOpaqueFactorization_Double`](/documentation/Accelerate/SparseFactor(_:_:)-8gl6j) Returns the specified factorization of a sparse matrix of double-precision values. [`func SparseFactor(SparseFactorization_t, SparseMatrix_Float) -> SparseOpaqueFactorization_Float`](/documentation/Accelerate/SparseFactor(_:_:)-38shj) Returns the specified factorization of a sparse matrix of single-precision values. [`func SparseFactor(SparseFactorization_t, SparseMatrix_Double, SparseSymbolicFactorOptions, SparseNumericFactorOptions) -> SparseOpaqueFactorization_Double`](/documentation/Accelerate/SparseFactor(_:_:_:_:)-88xmk) Returns the specified factorization of a sparse matrix of double-precision values using the specified options. [`func SparseFactor(SparseFactorization_t, SparseMatrix_Float, SparseSymbolicFactorOptions, SparseNumericFactorOptions) -> SparseOpaqueFactorization_Float`](/documentation/Accelerate/SparseFactor(_:_:_:_:)-8apyz) Returns the specified factorization of a sparse matrix of single-precision values using the specified options. ### Complex matrix factorization functions [`func SparseFactor(SparseFactorization_t, SparseMatrix_Complex_Double) -> SparseOpaqueFactorization_Complex_Double`](/documentation/Accelerate/SparseFactor(_:_:)-1avkp) Returns the specified factorization of a sparse matrix of complex double values. [`func SparseFactor(SparseFactorization_t, SparseMatrixStructureComplex) -> SparseOpaqueSymbolicFactorization`](/documentation/Accelerate/SparseFactor(_:_:)-55tzk) Returns a symbolic factorization of the requested type for a complex matrix with the given structure. [`func SparseFactor(SparseOpaqueSymbolicFactorization, SparseMatrix_Complex_Double) -> SparseOpaqueFactorization_Complex_Double`](/documentation/Accelerate/SparseFactor(_:_:)-5zzpu) Returns the factorization of a sparse matrix of complex double values corresponding to the supplied symbolic factorization. [`func SparseFactor(SparseFactorization_t, SparseMatrix_Complex_Float) -> SparseOpaqueFactorization_Complex_Float`](/documentation/Accelerate/SparseFactor(_:_:)-73n38) Returns the specified factorization of a sparse matrix of complex float values. ### Factorization inertia functions [`func SparseGetInertia(SparseOpaqueFactorization_Float, UnsafeMutablePointer, UnsafeMutablePointer, UnsafeMutablePointer) -> Int32`](/documentation/Accelerate/SparseGetInertia(_:_:_:_:)-6r90r) Returns the inertia of a single-precision *LDLᵀ* factorization. [`func SparseGetInertia(SparseOpaqueFactorization_Double, UnsafeMutablePointer, UnsafeMutablePointer, UnsafeMutablePointer) -> Int32`](/documentation/Accelerate/SparseGetInertia(_:_:_:_:)-2ykzq) Returns the inertia of a double-precision *LDLᵀ* factorization. [`func SparseGetInertia(SparseOpaqueFactorization_Complex_Double, UnsafeMutablePointer, UnsafeMutablePointer, UnsafeMutablePointer) -> Int32`](/documentation/Accelerate/SparseGetInertia(_:_:_:_:)-2gc7f) Returns the inertia of an LDLT factorization in complex double. [`func SparseGetInertia(SparseOpaqueFactorization_Complex_Float, UnsafeMutablePointer, UnsafeMutablePointer, UnsafeMutablePointer) -> Int32`](/documentation/Accelerate/SparseGetInertia(_:_:_:_:)-6ca5h) Returns the inertia of an LDLT factorization in complex float. [`struct SparseUpdate_t`](/documentation/Accelerate/SparseUpdate_t) Low-rank update algorithm selector [`var SparseUpdatePartialRefactor: SparseUpdate_t`](/documentation/Accelerate/SparseUpdatePartialRefactor) Low-rank update algorithm selector ### Factorization update functions [`func SparseUpdateFactor(SparseUpdate_t, UnsafeMutablePointer, Int32, UnsafePointer, SparseMatrix_Complex_Float)`](/documentation/Accelerate/SparseUpdateFactor(_:_:_:_:_:)-1n2be) Apply a low-rank update to an existing factorization of a matrix of complex float values. [`func SparseUpdateFactor(SparseUpdate_t, UnsafeMutablePointer, Int32, UnsafePointer, SparseMatrix_Complex_Double)`](/documentation/Accelerate/SparseUpdateFactor(_:_:_:_:_:)-9h956) Apply a low-rank update to an existing factorization of a matrix of complex double values. [`func SparseUpdateFactor(SparseUpdate_t, UnsafeMutablePointer, Int32, UnsafePointer, SparseMatrix_Float)`](/documentation/Accelerate/SparseUpdateFactor(_:_:_:_:_:)-9qg54) Apply a low-rank update to an existing factorization of a matrix of float values. [`func SparseUpdateFactor(SparseUpdate_t, UnsafeMutablePointer, Int32, UnsafePointer, SparseMatrix_Double)`](/documentation/Accelerate/SparseUpdateFactor(_:_:_:_:_:)-wrqg) Apply a low-rank update to an existing factorization of a matrix of double values. ### Structures that specify factorization type and factorization options [`struct SparseFactorization_t`](/documentation/Accelerate/SparseFactorization_t) Constants that define the factorization type. [`struct SparseSymbolicFactorOptions`](/documentation/Accelerate/SparseSymbolicFactorOptions) A structure that contains options that affect the symbolic stage of a sparse factorization. [`struct SparseNumericFactorOptions`](/documentation/Accelerate/SparseNumericFactorOptions) A structure that contains options that affect the numerical stage of a sparse factorization. --- 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)