diff --git a/Project.toml b/Project.toml
index 1e59127584..547112a4b6 100644
--- a/Project.toml
+++ b/Project.toml
@@ -105,7 +105,7 @@ PythonCall = "0.9.25"
 Random = "1.10"
 Random123 = "1.7"
 ReactantCore = "0.1.16"
-Reactant_jll = "0.0.262"
+Reactant_jll = "0.0.263"
 ScopedValues = "1.3.0"
 Scratch = "1.2"
 Sockets = "1.10"
diff --git a/src/Compiler.jl b/src/Compiler.jl
index 1366e87a1c..278eab497c 100644
--- a/src/Compiler.jl
+++ b/src/Compiler.jl
@@ -1722,6 +1722,8 @@ function compile_mlir!(
 
     blas_int_width = sizeof(BlasInt) * 8
     lower_enzymexla_linalg_pass = "lower-enzymexla-linalg{backend=$backend \
+                                   blas_int_width=$blas_int_width},\
+                                   lower-enzymexla-lapack{backend=$backend \
                                    blas_int_width=$blas_int_width}"
 
     legalize_chlo_to_stablehlo =
diff --git a/src/Ops.jl b/src/Ops.jl
index 22bf67679b..ed162501ba 100644
--- a/src/Ops.jl
+++ b/src/Ops.jl
@@ -3312,6 +3312,60 @@ Compute the row maximum pivoted LU factorization of `x` and return the factors `
     return (res, ipiv, perm, info)
 end
 
+@noinline function svd(
+    x::TracedRArray{T,N},
+    ::Type{iT}=Int32;
+    full::Bool=false,
+    algorithm::String="DEFAULT",
+    location=mlir_stacktrace("svd", @__FILE__, @__LINE__),
+) where {T,iT,N}
+    @assert N >= 2
+
+    batch_sizes = size(x)[1:(end - 2)]
+    m, n = size(x)[(end - 1):end]
+    r = min(m, n)
+
+    U_size = (batch_sizes..., m, full ? m : r)
+    S_size = (batch_sizes..., r)
+    Vt_size = (batch_sizes..., full ? n : r, n)
+    info_size = batch_sizes
+
+    if algorithm == "DEFAULT"
+        algint = 0
+    elseif algorithm == "QRIteration"
+        algint = 1
+    elseif algorithm == "DivideAndConquer"
+        algint = 2
+    elseif algorithm == "Jacobi"
+        algint = 3
+    else
+        error("Unsupported SVD algorithm: $algorithm")
+    end
+
+    svd_op = enzymexla.linalg_svd(
+        x.mlir_data;
+        U=mlir_type(TracedRArray{T,N}, U_size),
+        S=mlir_type(TracedRArray{Base.real(T),N - 1}, S_size),
+        Vt=mlir_type(TracedRArray{T,N}, Vt_size),
+        info=mlir_type(TracedRArray{iT,N - 2}, info_size),
+        full=full,
+        algorithm=MLIR.API.enzymexlaSVDAlgorithmAttrGet(MLIR.IR.context(), algint),
+        location,
+    )
+
+    U = TracedRArray{T,N}((), MLIR.IR.result(svd_op, 1), U_size)
+    S = TracedRArray{Base.real(T),N - 1}((), MLIR.IR.result(svd_op, 2), S_size)
+    Vt = TracedRArray{T,N}((), MLIR.IR.result(svd_op, 3), Vt_size)
+
+    if N == 2
+        info = TracedRNumber{iT}((), MLIR.IR.result(svd_op, 4))
+    else
+        info = TracedRArray{iT,N - 2}((), MLIR.IR.result(svd_op, 4), info_size)
+    end
+
+    return U, S, Vt, info
+end
+
 @noinline function reduce_window(
     f::F,
     inputs::Vector{TracedRArray{T,N}},
diff --git a/src/stdlibs/LinearAlgebra.jl b/src/stdlibs/LinearAlgebra.jl
index ff67859c5e..9bfc2ba2ae 100644
--- a/src/stdlibs/LinearAlgebra.jl
+++ b/src/stdlibs/LinearAlgebra.jl
@@ -25,10 +25,26 @@ function __init__()
         libblastrampoline_handle = Libdl.dlopen(BLAS.libblas)
 
         for (cname, enzymexla_name) in [
+            # LU
             (BLAS.@blasfunc(sgetrf_), :enzymexla_lapack_sgetrf_),
             (BLAS.@blasfunc(dgetrf_), :enzymexla_lapack_dgetrf_),
             (BLAS.@blasfunc(cgetrf_), :enzymexla_lapack_cgetrf_),
             (BLAS.@blasfunc(zgetrf_), :enzymexla_lapack_zgetrf_),
+            # SVD QR Iteration
+            (BLAS.@blasfunc(sgesvd_), :enzymexla_lapack_sgesvd_),
+            (BLAS.@blasfunc(dgesvd_), :enzymexla_lapack_dgesvd_),
+            (BLAS.@blasfunc(cgesvd_), :enzymexla_lapack_cgesvd_),
+            (BLAS.@blasfunc(zgesvd_), :enzymexla_lapack_zgesvd_),
+            # SVD Divide and Conquer
+            (BLAS.@blasfunc(sgesdd_), :enzymexla_lapack_sgesdd_),
+            (BLAS.@blasfunc(dgesdd_), :enzymexla_lapack_dgesdd_),
+            (BLAS.@blasfunc(cgesdd_), :enzymexla_lapack_cgesdd_),
+            (BLAS.@blasfunc(zgesdd_), :enzymexla_lapack_zgesdd_),
+            # SVD Jacobi
+            (BLAS.@blasfunc(sgesvj_), :enzymexla_lapack_sgesvj_),
+            (BLAS.@blasfunc(dgesvj_), :enzymexla_lapack_dgesvj_),
+            (BLAS.@blasfunc(cgesvj_), :enzymexla_lapack_cgesvj_),
+            (BLAS.@blasfunc(zgesvj_), :enzymexla_lapack_zgesvj_),
         ]
             sym = Libdl.dlsym(libblastrampoline_handle, cname)
             @ccall MLIR.API.mlir_c.EnzymeJaXMapSymbol(