# Sparse Iterative Solving Functions (Vector RHS) Solve a system with a right-hand-side dense vector using iterative methods. ## Topics ### Iterative sparse solve functions [`func SparseSolve(SparseIterativeMethod, SparseMatrix_Double, DenseVector_Double, DenseVector_Double) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:)-7f1sp) Solves the equation *Ax = b* for vectors of double-precision values using the specified iterative method. [`func SparseSolve(SparseIterativeMethod, SparseMatrix_Float, DenseVector_Float, DenseVector_Float) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:)-97k3a) Solves the equation *Ax = b* for vectors of single-precision values using the specified iterative method. [`func SparseSolve(SparseIterativeMethod, (Bool, CBLAS_TRANSPOSE, DenseVector_Double, DenseVector_Double) -> Void, DenseVector_Double, DenseVector_Double) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:)-26fae) Solves the equation *Ax = b* for vectors of double-precision values, treating *A* as an operator and using the specified iterative method. [`func SparseSolve(SparseIterativeMethod, (Bool, CBLAS_TRANSPOSE, DenseVector_Float, DenseVector_Float) -> Void, DenseVector_Float, DenseVector_Float) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:)-9yhgp) Solves the equation *Ax = b* for vectors of single-precision values, treating *A* as an operator and using the specified iterative method. ### Iterative sparse solve functions with preconditioner [`func SparseSolve(SparseIterativeMethod, SparseMatrix_Double, DenseVector_Double, DenseVector_Double, SparseOpaquePreconditioner_Double) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-1qwax) Solves the equation *Ax = b* for vectors of double-precision values using the specified iterative method and opaque preconditioner. [`func SparseSolve(SparseIterativeMethod, SparseMatrix_Float, DenseVector_Float, DenseVector_Float, SparseOpaquePreconditioner_Float) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-3aphv) Solves the equation *Ax = b* for vectors of single-precision values using the specified iterative method and opaque preconditioner. [`func SparseSolve(SparseIterativeMethod, SparseMatrix_Double, DenseVector_Double, DenseVector_Double, SparsePreconditioner_t) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-5vs11) Solves the equation *Ax = b* for vectors of double-precision values using the specified iterative method and preconditioner type. [`func SparseSolve(SparseIterativeMethod, SparseMatrix_Float, DenseVector_Float, DenseVector_Float, SparsePreconditioner_t) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-9nzvm) Solves the equation *Ax = b* for vectors of single-precision values using the specified iterative method and preconditioner type. [`func SparseSolve(SparseIterativeMethod, (Bool, CBLAS_TRANSPOSE, DenseVector_Double, DenseVector_Double) -> Void, DenseVector_Double, DenseVector_Double, SparseOpaquePreconditioner_Double) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-6i1nx) Solves the equation *Ax = b* for vectors of double-precision values, treating *A* as an operator and using the specified iterative method and preconditioner. [`func SparseSolve(SparseIterativeMethod, (Bool, CBLAS_TRANSPOSE, DenseVector_Float, DenseVector_Float) -> Void, DenseVector_Float, DenseVector_Float, SparseOpaquePreconditioner_Float) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-7wnum) Solves the equation *Ax = b* for vectors of single-precision values, treating *A* as an operator and using the specified iterative method and preconditioner. ### Iterative sparse solve functions for complex matrices [`func SparseSolve(SparseIterativeMethod, (Bool, CBLAS_TRANSPOSE, DenseVector_Complex_Float, DenseVector_Complex_Float) -> Void, DenseVector_Complex_Float, DenseVector_Complex_Float) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:)-2cenj) Solve `Ax=b` using the specified iterative method for complex float values. [`func SparseSolve(SparseIterativeMethod, (Bool, CBLAS_TRANSPOSE, DenseVector_Complex_Double, DenseVector_Complex_Double) -> Void, DenseVector_Complex_Double, DenseVector_Complex_Double) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:)-35kl2) Solve `Ax=b` using the specified iterative method for complex double values. [`func SparseSolve(SparseIterativeMethod, (Bool, CBLAS_TRANSPOSE, DenseVector_Complex_Double, DenseVector_Complex_Double) -> Void, DenseVector_Complex_Double, DenseVector_Complex_Double, SparseOpaquePreconditioner_Complex_Double) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-1ogxn) Solve `Ax=b` using the specified iterative method for complex double values. [`func SparseSolve(SparseIterativeMethod, (Bool, CBLAS_TRANSPOSE, DenseVector_Complex_Float, DenseVector_Complex_Float) -> Void, DenseVector_Complex_Float, DenseVector_Complex_Float, SparseOpaquePreconditioner_Complex_Float) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-2bm9r) Solve `Ax=b` using the specified iterative method for complex float values. [`func SparseSolve(SparseIterativeMethod, SparseMatrix_Complex_Float, DenseVector_Complex_Float, DenseVector_Complex_Float, SparseOpaquePreconditioner_Complex_Float) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-2ygeh) Solve `Ax=b` using the specified iterative method for complex float values. [`func SparseSolve(SparseIterativeMethod, SparseMatrix_Complex_Double, DenseVector_Complex_Double, DenseVector_Complex_Double, SparseOpaquePreconditioner_Complex_Double) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-7yfqx) Solve `Ax=b` using the specified iterative method for complex double values. ### Supporting types [`struct SparseIterativeStatus_t`](/documentation/Accelerate/SparseIterativeStatus_t) Constants that define the status of the iterative solve. --- 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)