# Sparse Iterative Solving Functions (Matrix RHS) Solve a system with a right-hand-side dense matrix using iterative methods. ## Topics ### Iterative sparse solve functions [`func SparseSolve(SparseIterativeMethod, SparseMatrix_Double, DenseMatrix_Double, DenseMatrix_Double) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:)-3ft19) Solves the equation *AX = B* for matrices of double-precision values using the specified iterative method. [`func SparseSolve(SparseIterativeMethod, SparseMatrix_Float, DenseMatrix_Float, DenseMatrix_Float) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:)-1f00y) Solves the equation *AX = B* for matrices of single-precision values using the specified iterative method. [`func SparseSolve(SparseIterativeMethod, (Bool, CBLAS_TRANSPOSE, DenseMatrix_Double, DenseMatrix_Double) -> Void, DenseMatrix_Double, DenseMatrix_Double) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:)-vewd) Solves the equation *AX = B* for matrices of double-precision values, treating *A* as an operator and using the specified iterative method. [`func SparseSolve(SparseIterativeMethod, (Bool, CBLAS_TRANSPOSE, DenseMatrix_Float, DenseMatrix_Float) -> Void, DenseMatrix_Float, DenseMatrix_Float) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:)-8mtxu) Solves the equation *AX = B* for matrices 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, DenseMatrix_Double, DenseMatrix_Double, SparseOpaquePreconditioner_Double) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-5yh8m) Solves the equation *AX = B* for matrices of double-precision values using the specified iterative method and opaque preconditioner. [`func SparseSolve(SparseIterativeMethod, SparseMatrix_Float, DenseMatrix_Float, DenseMatrix_Float, SparseOpaquePreconditioner_Float) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-7vrh0) Solves the equation *AX = B* for matrices of single-precision values using the specified iterative method and opaque preconditioner. [`func SparseSolve(SparseIterativeMethod, SparseMatrix_Double, DenseMatrix_Double, DenseMatrix_Double, SparsePreconditioner_t) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-5d7vf) Solves the equation *AX = B* for matrices of double-precision values using the specified iterative method and preconditioner type. [`func SparseSolve(SparseIterativeMethod, SparseMatrix_Float, DenseMatrix_Float, DenseMatrix_Float, SparsePreconditioner_t) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-7apig) Solves the equation *AX = B* for matrices of single-precision values using the specified iterative method and preconditioner type. [`func SparseSolve(SparseIterativeMethod, (Bool, CBLAS_TRANSPOSE, DenseMatrix_Double, DenseMatrix_Double) -> Void, DenseMatrix_Double, DenseMatrix_Double, SparseOpaquePreconditioner_Double) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-8nfbc) Solves the equation *AX = B* for matrices of double-precision values, treating *A* as an operator and using the specified iterative method. [`func SparseSolve(SparseIterativeMethod, (Bool, CBLAS_TRANSPOSE, DenseMatrix_Float, DenseMatrix_Float) -> Void, DenseMatrix_Float, DenseMatrix_Float, SparseOpaquePreconditioner_Float) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-80ri4) Solves the equation *AX = B* for matrices of single-precision values, treating *A* as an operator and using the specified iterative method. ### Iterative sparse solve functions for complex matrices [`func SparseSolve(SparseIterativeMethod, SparseMatrix_Complex_Double, DenseVector_Complex_Double, DenseVector_Complex_Double) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:)-41c6p) Solve `Ax=b` using the specified iterative method for complex double values. [`func SparseSolve(SparseIterativeMethod, SparseMatrix_Complex_Float, DenseMatrix_Complex_Float, DenseMatrix_Complex_Float) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:)-4xwsw) Solve `AX=B` using the specified iterative method for complex float values. [`func SparseSolve(SparseIterativeMethod, SparseMatrix_Complex_Float, DenseMatrix_Complex_Float, DenseMatrix_Complex_Float, SparseOpaquePreconditioner_Complex_Float) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-155od) Solve `AX=B` using the specified iterative method for complex float values. [`func SparseSolve(SparseIterativeMethod, SparseMatrix_Complex_Float, DenseVector_Complex_Float, DenseVector_Complex_Float, SparsePreconditioner_t) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-1fw3p) Solve `Ax=b` using the specified iterative method for complex float values. [`func SparseSolve(SparseIterativeMethod, (Bool, CBLAS_TRANSPOSE, DenseMatrix_Complex_Float, DenseMatrix_Complex_Float) -> Void, DenseMatrix_Complex_Float, DenseMatrix_Complex_Float, SparseOpaquePreconditioner_Complex_Float) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-1i6u8) Solve `AX=B` using the specified iterative method for complex float values. [`func SparseSolve(SparseIterativeMethod, SparseMatrix_Complex_Double, DenseMatrix_Complex_Double, DenseMatrix_Complex_Double, SparseOpaquePreconditioner_Complex_Double) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-4fvqm) Solve `AX=B` using the specified iterative method for complex double values. [`func SparseSolve(SparseIterativeMethod, SparseMatrix_Complex_Double, DenseMatrix_Complex_Double, DenseMatrix_Complex_Double, SparseOpaquePreconditioner_Complex_Double) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-4fvqm) Solve `AX=B` using the specified iterative method for complex double values. [`func SparseSolve(SparseIterativeMethod, SparseMatrix_Complex_Double, DenseMatrix_Complex_Double, DenseMatrix_Complex_Double, SparseOpaquePreconditioner_Complex_Double) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-4fvqm) Solve `AX=B` using the specified iterative method for complex double values. [`func SparseSolve(SparseIterativeMethod, SparseMatrix_Complex_Float, DenseMatrix_Complex_Float, DenseMatrix_Complex_Float, SparsePreconditioner_t) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-655i9) Solve `AX=B` using the specified iterative method for complex float values. [`func SparseSolve(SparseIterativeMethod, SparseMatrix_Complex_Double, DenseVector_Complex_Double, DenseVector_Complex_Double, SparsePreconditioner_t) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-7hdp4) Solve `Ax=b` using the specified iterative method for complex double values. [`func SparseSolve(SparseIterativeMethod, (Bool, CBLAS_TRANSPOSE, DenseMatrix_Complex_Double, DenseMatrix_Complex_Double) -> Void, DenseMatrix_Complex_Double, DenseMatrix_Complex_Double, SparseOpaquePreconditioner_Complex_Double) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-7m9vp) Solve `AX=B` using the specified iterative method for complex double values. [`func SparseSolve(SparseIterativeMethod, (Bool, CBLAS_TRANSPOSE, DenseMatrix_Complex_Float, DenseMatrix_Complex_Float) -> Void, DenseMatrix_Complex_Float, DenseMatrix_Complex_Float) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:)-6wjj9) Solve `AX=B` using the specified iterative method for complex float values. [`func SparseSolve(SparseIterativeMethod, SparseMatrix_Complex_Double, DenseMatrix_Complex_Double, DenseMatrix_Complex_Double) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:)-7zp1d) Solve `AX=B` using the specified iterative method for complex double values. [`func SparseSolve(SparseIterativeMethod, (Bool, CBLAS_TRANSPOSE, DenseMatrix_Complex_Double, DenseMatrix_Complex_Double) -> Void, DenseMatrix_Complex_Double, DenseMatrix_Complex_Double) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:)-8bndu) Solve `AX=B` using the specified iterative method for complex double values. [`func SparseSolve(SparseIterativeMethod, SparseMatrix_Complex_Float, DenseVector_Complex_Float, DenseVector_Complex_Float) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:)-8yld7) Solve `Ax=b` using the specified iterative method for complex float values. [`func SparseSolve(SparseIterativeMethod, SparseMatrix_Complex_Double, DenseMatrix_Complex_Double, DenseMatrix_Complex_Double, SparsePreconditioner_t) -> SparseIterativeStatus_t`](/documentation/Accelerate/SparseSolve(_:_:_:_:_:)-4xd4z) 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)