diff --git a/src/solver/highlevel.jl b/src/solver/highlevel.jl
index 856db7dcd..11713b02a 100644
--- a/src/solver/highlevel.jl
+++ b/src/solver/highlevel.jl
@@ -425,35 +425,58 @@ for (fname, matrix_elty, vector_elty) in (
     (:rocsolver_sgesvdj, :Float32, :Float32),
 )
     @eval begin
-        function gesvdj!(A::ROCMatrix{$matrix_elty}, abstol::$vector_elty, max_sweeps::Cint)
+        function gesvdj!(
+            A::ROCMatrix{$matrix_elty};
+            jobu::Char='S', jobvt::Char='S',
+            abstol::$vector_elty=eps($vector_elty), max_sweeps::Integer=100,
+        )
             m, n = size(A)
+            k = min(m, n)
             lda = max(1, stride(A, 2))
-            dev_residual = ROCVector{$vector_elty}(undef, 1)
 
-            dev_n_sweeps = ROCVector{Cint}(undef, 1)
+            # `U` holds the left singular vectors (m×m for 'A', m×k for 'S').
+            U = if jobu === 'A'
+                ROCMatrix{$matrix_elty}(undef, m, m)
+            elseif jobu === 'S'
+                ROCMatrix{$matrix_elty}(undef, m, k)
+            elseif jobu === 'N'
+                C_NULL
+            else
+                error("jobu must be one of 'A', 'S', or 'N'")
+            end
+            ldu = U == C_NULL ? 1 : max(1, stride(U, 2))
 
-            S = ROCArray{$vector_elty}(undef, min(m, n))
-            U = ROCMatrix{$matrix_elty}(undef, (m, min(m, n)))
-            ldu = m
-            @assert stride(U, 2) == ldu
-            V = ROCMatrix{$matrix_elty}(undef, (min(m, n), n))
-            ldv = min(m, n)
-            @assert stride(V, 2) == ldv
+            S = ROCVector{$vector_elty}(undef, k)
 
+            # `Vt` holds the (conjugate-)transposed right singular vectors, laid
+            # out exactly as `gesvd!` returns them (n×n for 'A', k×n for 'S'),
+            # so both routines share the `(U, S, Vt)` convention.
+            Vt = if jobvt === 'A'
+                ROCMatrix{$matrix_elty}(undef, n, n)
+            elseif jobvt === 'S'
+                ROCMatrix{$matrix_elty}(undef, k, n)
+            elseif jobvt === 'N'
+                C_NULL
+            else
+                error("jobvt must be one of 'A', 'S', or 'N'")
+            end
+            ldvt = Vt == C_NULL ? 1 : max(1, stride(Vt, 2))
+
+            dev_residual = ROCVector{$vector_elty}(undef, 1)
+            dev_n_sweeps = ROCVector{Cint}(undef, 1)
             dev_info = ROCVector{Cint}(undef, 1)
 
             $fname(
                 rocBLAS.handle(),
-                rocblas_svect_singular,
-                rocblas_svect_singular,
+                jobu, jobvt,
                 m, n, A, lda,
                 abstol,
                 dev_residual,
-                max_sweeps,
+                Cint(max_sweeps),
                 dev_n_sweeps,
                 S,
                 U, ldu,
-                V, ldv,
+                Vt, ldvt,
                 dev_info
             )
             residual = AMDGPU.@allowscalar dev_residual[1]
@@ -465,7 +488,7 @@ for (fname, matrix_elty, vector_elty) in (
             info = AMDGPU.@allowscalar dev_info[1]
             AMDGPU.unsafe_free!(dev_info)
 
-            U, S, V', residual, n_sweeps, info
+            return U, S, Vt, residual, n_sweeps, info
         end
     end
 end
@@ -737,6 +760,77 @@ function LinearAlgebra.lu!(
     return LU{T,typeof(factors),typeof(ipiv)}(factors, ipiv, BlasInt(info))
 end
 
+# SVD
+
+"""
+    SVDAlgorithm
+
+Abstract supertype selecting which rocSOLVER routine backs `svd`/`svdvals` on a
+`ROCArray`: [`QRAlgorithm`](@ref) or [`JacobiAlgorithm`](@ref).
+"""
+abstract type SVDAlgorithm end
+
+"""
+    QRAlgorithm <: SVDAlgorithm
+
+Compute the SVD with rocSOLVER's QR iteration (`gesvd!`).
+"""
+struct QRAlgorithm <: SVDAlgorithm end
+
+"""
+    JacobiAlgorithm <: SVDAlgorithm
+
+Compute the SVD with rocSOLVER's one-sided Jacobi method (`gesvdj!`). This is
+the default for `ROCArray`, as it is typically faster than [`QRAlgorithm`](@ref)
+on AMD GPUs.
+"""
+struct JacobiAlgorithm <: SVDAlgorithm end
+
+# NOTE: LinearAlgebra's default SVD path calls `LAPACK.gesdd!`, which rocSOLVER does not implement, so we own the whole `svd`/`svdvals` family for ROCMatrix and dispatch to `gesvd!`/`gesvdj!` (see JuliaGPU/AMDGPU.jl#837).
+
+function LinearAlgebra.svd!(
+    A::ROCMatrix{T}; full::Bool = false, alg = JacobiAlgorithm(),
+) where T <: rocBLAS.ROCBLASFloat
+    return _svd!(A, full, alg)
+end
+
+LinearAlgebra.svd(A::ROCMatrix; full::Bool = false, alg = JacobiAlgorithm()) =
+    svd!(copy_rocblasfloat(A); full, alg)
+
+function _svd!(A::ROCMatrix{T}, full::Bool, ::QRAlgorithm) where T <: rocBLAS.ROCBLASFloat
+    job = full ? 'A' : 'S'
+    U, S, Vt = gesvd!(job, job, A)
+    return LinearAlgebra.SVD(U, S, Vt)
+end
+
+function _svd!(A::ROCMatrix{T}, full::Bool, ::JacobiAlgorithm) where T <: rocBLAS.ROCBLASFloat
+    job = full ? 'A' : 'S'
+    U, S, Vt = gesvdj!(A; jobu = job, jobvt = job)
+    return LinearAlgebra.SVD(U, S, Vt)
+end
+
+# Accept LinearAlgebra's own algorithm singletons: `QRIteration` maps to our QR path (keeps the old `svd(A; alg=QRIteration())` workaround working), and `DivideAndConquer` (whose `gesdd!` is unavailable) maps to Jacobi.
+_svd!(A::ROCMatrix, full::Bool, ::LinearAlgebra.QRIteration) = _svd!(A, full, QRAlgorithm())
+_svd!(A::ROCMatrix, full::Bool, ::LinearAlgebra.DivideAndConquer) = _svd!(A, full, JacobiAlgorithm())
+_svd!(A::ROCMatrix, full::Bool, alg) =
+    throw(ArgumentError("Unsupported SVD algorithm `$alg` for ROCArray."))
+
+function LinearAlgebra.svdvals!(A::ROCMatrix{T}; alg = JacobiAlgorithm()) where T <: rocBLAS.ROCBLASFloat
+    return _svdvals!(A, alg)
+end
+
+LinearAlgebra.svdvals(A::ROCMatrix; alg = JacobiAlgorithm()) =
+    svdvals!(copy_rocblasfloat(A); alg)
+
+_svdvals!(A::ROCMatrix{T}, ::QRAlgorithm) where T <: rocBLAS.ROCBLASFloat =
+    gesvd!('N', 'N', A)[2]
+_svdvals!(A::ROCMatrix{T}, ::JacobiAlgorithm) where T <: rocBLAS.ROCBLASFloat =
+    gesvdj!(A; jobu = 'N', jobvt = 'N')[2]
+_svdvals!(A::ROCMatrix, ::LinearAlgebra.QRIteration) = _svdvals!(A, QRAlgorithm())
+_svdvals!(A::ROCMatrix, ::LinearAlgebra.DivideAndConquer) = _svdvals!(A, JacobiAlgorithm())
+_svdvals!(A::ROCMatrix, alg) =
+    throw(ArgumentError("Unsupported SVD algorithm `$alg` for ROCArray."))
+
 # LAPACK
 
 for elty in (:Float32, :Float64, :ComplexF32, :ComplexF64)
@@ -754,6 +848,8 @@ for elty in (:Float32, :Float64, :ComplexF32, :ComplexF64)
         LinearAlgebra.LAPACK.orgqr!(A::ROCMatrix{$elty}, tau::ROCVector{$elty}) = rocSOLVER.orgqr!(A, tau)
         LinearAlgebra.LAPACK.gebrd!(A::ROCMatrix{$elty}) = rocSOLVER.gebrd!(A)
         LinearAlgebra.LAPACK.gesvd!(jobu::Char, jobvt::Char, A::ROCMatrix{$elty}) = rocSOLVER.gesvd!(jobu, jobvt, A)
+        # rocSOLVER has no divide-and-conquer SVD; route any generic path that still reaches `gesdd!` to `gesvd!` so it runs on-device (see #837).
+        LinearAlgebra.LAPACK.gesdd!(job::Char, A::ROCMatrix{$elty}) = rocSOLVER.gesvd!(job, job, A)
     end
 end
 
diff --git a/test/hip_rocarray/solver.jl b/test/hip_rocarray/solver.jl
index da55d85b0..1cd95f0db 100644
--- a/test/hip_rocarray/solver.jl
+++ b/test/hip_rocarray/solver.jl
@@ -455,12 +455,73 @@ end
         (Float32, Float32),
     ]
         A = rand(elty, m, n)
+        k = min(m, n)
+        refS = svdvals(A)
+
+        # economy factorization (default job modes)
+        U, S, Vt, residual, n_sweeps, info = AMDGPU.rocSOLVER.gesvdj!(ROCMatrix(A))
+        @test info == 0
+        @test size(U) == (m, k) && size(Vt) == (k, n)
+        @test Vector(S) ≈ refS
+        @test U * Diagonal(S) * Vt ≈ ROCMatrix(A)
+
+        # full factorization
+        U, S, Vt, = AMDGPU.rocSOLVER.gesvdj!(ROCMatrix(A); jobu='A', jobvt='A')
+        @test size(U) == (m, m) && size(Vt) == (n, n)
+        @test Array(U)[:, 1:k] * Diagonal(Vector(S)) * Array(Vt)[1:k, :] ≈ A
+
+        # singular values only
+        U, S, Vt, = AMDGPU.rocSOLVER.gesvdj!(ROCMatrix(A); jobu='N', jobvt='N')
+        @test U === C_NULL && Vt === C_NULL
+        @test Vector(S) ≈ refS
+    end
+end
+
+@testset "svd / svdvals" begin
+    using AMDGPU.rocSOLVER: QRAlgorithm, JacobiAlgorithm
+
+    # Regression test for JuliaGPU/AMDGPU.jl#837: `svd`/`cond` were wrong or crashed via the divide-and-conquer (`gesdd!`) path. Was intermittent, so loop a few times.
+    @testset "#837 regression" begin
+        cpu = randn(10, 10)
+        gpu = ROCArray(cpu)
+        for _ in 1:5
+            @test Vector(svd(gpu).S) ≈ svd(cpu).S
+            @test cond(gpu) ≈ cond(cpu)
+        end
+    end
+
+    @testset "elty=$elty $(dm)x$(dn)" for elty in (Float32, Float64, ComplexF32, ComplexF64),
+                                          (dm, dn) in ((8, 8), (10, 6), (6, 10))
+        k = min(dm, dn)
+        A = rand(elty, dm, dn)
         dA = ROCMatrix(A)
-        abstol = tol_type(-1.0)
-        max_sweeps::Int32 = 100
+        refS = svdvals(A)
+
+        @testset "alg=$alg" for alg in (JacobiAlgorithm(), QRAlgorithm())
+            F = svd(dA; alg)
+            @test Vector(F.S) ≈ refS
+            @test Array(F.U) * Diagonal(Vector(F.S)) * Array(F.Vt) ≈ A
+            @test size(F.U) == (dm, k) && size(F.Vt) == (k, dn)
+            @test Vector(svdvals(dA; alg)) ≈ refS
+
+            FF = svd(dA; full = true, alg)
+            @test size(FF.U) == (dm, dm) && size(FF.Vt) == (dn, dn)
+            @test Array(FF.U)[:, 1:k] * Diagonal(Vector(FF.S)) * Array(FF.Vt)[1:k, :] ≈ A
+        end
+
+        # svd! is destructive; the non-destructive svd leaves dA intact
+        @test Vector(svd!(copy(dA)).S) ≈ refS
+        @test Array(dA) ≈ A
+
+        @test cond(dA) ≈ cond(A)
+    end
 
-        U, S, V, residual, n_sweeps, info = AMDGPU.rocSOLVER.gesvdj!(dA, abstol, max_sweeps)
-        @test U * Diagonal(S) * V' ≈ dA
+    # LinearAlgebra's algorithm singletons remain accepted
+    @testset "alg-singleton compat" begin
+        A = randn(Float64, 8, 8); dA = ROCMatrix(A); refS = svdvals(A)
+        @test Vector(svd(dA; alg = LinearAlgebra.QRIteration()).S) ≈ refS
+        @test Vector(svd(dA; alg = LinearAlgebra.DivideAndConquer()).S) ≈ refS
+        @test Vector(svdvals(dA; alg = LinearAlgebra.QRIteration())) ≈ refS
     end
 end