diff --git a/Project.toml b/Project.toml
index 7bd69ab..a850fe8 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,7 +1,7 @@
 name = "NamedDimsArrays"
 uuid = "60cbd0c0-df58-4cb7-918c-6f5607b73fde"
 authors = ["ITensor developers <support@itensor.org> and contributors"]
-version = "0.6.0"
+version = "0.6.1"
 
 [deps]
 Adapt = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
diff --git a/src/tensoralgebra.jl b/src/tensoralgebra.jl
index 6594bad..c886359 100644
--- a/src/tensoralgebra.jl
+++ b/src/tensoralgebra.jl
@@ -1,6 +1,20 @@
 using LinearAlgebra: LinearAlgebra
 using TensorAlgebra:
-  TensorAlgebra, blockedperm, contract, contract!, fusedims, permmortar, qr, splitdims, svd
+  TensorAlgebra,
+  blockedperm,
+  contract,
+  contract!,
+  eigen,
+  eigvals,
+  fusedims,
+  left_null,
+  lq,
+  permmortar,
+  qr,
+  right_null,
+  splitdims,
+  svd,
+  svdvals
 using TensorAlgebra.BaseExtensions: BaseExtensions
 
 function TensorAlgebra.contract!(
@@ -94,7 +108,7 @@ function TensorAlgebra.fusedims(na::AbstractNamedDimsArray, fusions::Pair...)
     )
   end
   perm = blockedperm(na, nameddimsindices_fuse...)
-  a_fused = fusedims(unname(na), perm)
+  a_fused = fusedims(dename(na), perm)
   return nameddimsarray(a_fused, nameddimsindices_fused)
 end
 
@@ -107,7 +121,7 @@ function TensorAlgebra.splitdims(na::AbstractNamedDimsArray, splitters::Pair...)
     split_lengths = unname.(split_namedlengths)
     return fused_dim => split_lengths
   end
-  a_split = splitdims(unname(na), splitters_unnamed...)
+  a_split = splitdims(dename(na), splitters_unnamed...)
   names_split = Any[tuple.(nameddimsindices(na))...]
   for splitter in splitters
     fused_name, split_namedlengths = splitter
@@ -120,77 +134,170 @@ function TensorAlgebra.splitdims(na::AbstractNamedDimsArray, splitters::Pair...)
 end
 
 function TensorAlgebra.qr(
-  a::AbstractNamedDimsArray,
-  nameddimsindices_codomain,
-  nameddimsindices_domain;
-  positive=nothing,
+  a::AbstractNamedDimsArray, dimnames_codomain, dimnames_domain; kwargs...
 )
-  @assert isnothing(positive) || !positive
-  q_unnamed, r_unnamed = qr(
-    unname(a),
-    nameddimsindices(a),
-    to_nameddimsindices(a, nameddimsindices_codomain),
-    to_nameddimsindices(a, nameddimsindices_domain),
-  )
+  codomain = to_nameddimsindices(a, dimnames_codomain)
+  domain = to_nameddimsindices(a, dimnames_domain)
+  q_unnamed, r_unnamed = qr(dename(a), nameddimsindices(a), codomain, domain; kwargs...)
   name_q = randname(dimnames(a, 1))
   name_r = name_q
   namedindices_q = named(last(axes(q_unnamed)), name_q)
   namedindices_r = named(first(axes(r_unnamed)), name_r)
-  nameddimsindices_q = (
-    to_nameddimsindices(a, nameddimsindices_codomain)..., namedindices_q
-  )
-  nameddimsindices_r = (namedindices_r, to_nameddimsindices(a, nameddimsindices_domain)...)
+  nameddimsindices_q = (codomain..., namedindices_q)
+  nameddimsindices_r = (namedindices_r, domain...)
   q = nameddimsarray(q_unnamed, nameddimsindices_q)
   r = nameddimsarray(r_unnamed, nameddimsindices_r)
   return q, r
 end
-
-function TensorAlgebra.qr(a::AbstractNamedDimsArray, nameddimsindices_codomain; kwargs...)
-  return qr(
-    a,
-    nameddimsindices_codomain,
-    setdiff(nameddimsindices(a), to_nameddimsindices(a, nameddimsindices_codomain));
-    kwargs...,
-  )
+function TensorAlgebra.qr(a::AbstractNamedDimsArray, dimnames_codomain; kwargs...)
+  codomain = to_nameddimsindices(a, dimnames_codomain)
+  domain = setdiff(nameddimsindices(a), codomain)
+  return qr(a, codomain, domain; kwargs...)
 end
-
 function LinearAlgebra.qr(a::AbstractNamedDimsArray, args...; kwargs...)
   return TensorAlgebra.qr(a, args...; kwargs...)
 end
 
+function TensorAlgebra.lq(
+  a::AbstractNamedDimsArray, dimnames_codomain, dimnames_domain; kwargs...
+)
+  codomain = to_nameddimsindices(a, dimnames_codomain)
+  domain = to_nameddimsindices(a, dimnames_domain)
+  l_unnamed, q_unnamed = lq(dename(a), nameddimsindices(a), codomain, domain; kwargs...)
+  name_l = randname(dimnames(a, 1))
+  name_q = name_l
+  namedindices_l = named(last(axes(l_unnamed)), name_l)
+  namedindices_q = named(first(axes(q_unnamed)), name_q)
+  nameddimsindices_l = (codomain..., namedindices_l)
+  nameddimsindices_q = (namedindices_q, domain...)
+  l = nameddimsarray(l_unnamed, nameddimsindices_l)
+  q = nameddimsarray(q_unnamed, nameddimsindices_q)
+  return l, q
+end
+function TensorAlgebra.lq(a::AbstractNamedDimsArray, dimnames_codomain; kwargs...)
+  codomain = to_nameddimsindices(a, dimnames_codomain)
+  domain = setdiff(nameddimsindices(a), codomain)
+  return lq(a, codomain, domain; kwargs...)
+end
+function LinearAlgebra.lq(a::AbstractNamedDimsArray, args...; kwargs...)
+  return TensorAlgebra.lq(a, args...; kwargs...)
+end
+
 function TensorAlgebra.svd(
-  a::AbstractNamedDimsArray, nameddimsindices_codomain, nameddimsindices_domain
+  a::AbstractNamedDimsArray, dimnames_codomain, dimnames_domain; kwargs...
 )
+  codomain = to_nameddimsindices(a, dimnames_codomain)
+  domain = to_nameddimsindices(a, dimnames_domain)
   u_unnamed, s_unnamed, v_unnamed = svd(
-    unname(a),
-    nameddimsindices(a),
-    to_nameddimsindices(a, nameddimsindices_codomain),
-    to_nameddimsindices(a, nameddimsindices_domain),
+    dename(a), nameddimsindices(a), codomain, domain; kwargs...
   )
   name_u = randname(dimnames(a, 1))
   name_v = randname(dimnames(a, 1))
   namedindices_u = named(last(axes(u_unnamed)), name_u)
   namedindices_v = named(first(axes(v_unnamed)), name_v)
-  nameddimsindices_u = (
-    to_nameddimsindices(a, nameddimsindices_codomain)..., namedindices_u
-  )
+  nameddimsindices_u = (codomain..., namedindices_u)
   nameddimsindices_s = (namedindices_u, namedindices_v)
-  nameddimsindices_v = (namedindices_v, to_nameddimsindices(a, nameddimsindices_domain)...)
+  nameddimsindices_v = (namedindices_v, domain...)
   u = nameddimsarray(u_unnamed, nameddimsindices_u)
   s = nameddimsarray(s_unnamed, nameddimsindices_s)
   v = nameddimsarray(v_unnamed, nameddimsindices_v)
   return u, s, v
 end
-
-function TensorAlgebra.svd(a::AbstractNamedDimsArray, nameddimsindices_codomain; kwargs...)
+function TensorAlgebra.svd(a::AbstractNamedDimsArray, dimnames_codomain; kwargs...)
   return svd(
     a,
-    nameddimsindices_codomain,
-    setdiff(nameddimsindices(a), to_nameddimsindices(a, nameddimsindices_codomain));
+    dimnames_codomain,
+    setdiff(nameddimsindices(a), to_nameddimsindices(a, dimnames_codomain));
     kwargs...,
   )
 end
-
 function LinearAlgebra.svd(a::AbstractNamedDimsArray, args...; kwargs...)
   return TensorAlgebra.svd(a, args...; kwargs...)
 end
+
+function TensorAlgebra.svdvals(
+  a::AbstractNamedDimsArray, dimnames_codomain, dimnames_domain; kwargs...
+)
+  return svdvals(
+    dename(a),
+    nameddimsindices(a),
+    to_nameddimsindices(a, dimnames_codomain),
+    to_nameddimsindices(a, dimnames_domain);
+    kwargs...,
+  )
+end
+function TensorAlgebra.svdvals(a::AbstractNamedDimsArray, dimnames_codomain; kwargs...)
+  codomain = to_nameddimsindices(a, dimnames_codomain)
+  domain = setdiff(nameddimsindices(a), codomain)
+  return svdvals(a, codomain, domain; kwargs...)
+end
+function LinearAlgebra.svdvals(a::AbstractNamedDimsArray, args...; kwargs...)
+  return TensorAlgebra.svdvals(a, args...; kwargs...)
+end
+
+function TensorAlgebra.eigen(
+  a::AbstractNamedDimsArray, dimnames_codomain, dimnames_domain; kwargs...
+)
+  codomain = to_nameddimsindices(a, dimnames_codomain)
+  domain = to_nameddimsindices(a, dimnames_domain)
+  d_unnamed, v_unnamed = eigen(dename(a), nameddimsindices(a), codomain, domain; kwargs...)
+  name_d = randname(dimnames(a, 1))
+  name_d′ = randname(name_d)
+  name_v = name_d
+  namedindices_d = named(last(axes(d_unnamed)), name_d)
+  namedindices_d′ = named(first(axes(d_unnamed)), name_d′)
+  namedindices_v = named(last(axes(v_unnamed)), name_v)
+  nameddimsindices_d = (namedindices_d′, namedindices_d)
+  nameddimsindices_v = (domain..., namedindices_v)
+  d = nameddimsarray(d_unnamed, nameddimsindices_d)
+  v = nameddimsarray(v_unnamed, nameddimsindices_v)
+  return d, v
+end
+function LinearAlgebra.eigen(a::AbstractNamedDimsArray, args...; kwargs...)
+  return TensorAlgebra.eigen(a, args...; kwargs...)
+end
+
+function TensorAlgebra.eigvals(
+  a::AbstractNamedDimsArray, dimnames_codomain, dimnames_domain; kwargs...
+)
+  codomain = to_nameddimsindices(a, dimnames_codomain)
+  domain = to_nameddimsindices(a, dimnames_domain)
+  return eigvals(dename(a), nameddimsindices(a), codomain, domain; kwargs...)
+end
+function LinearAlgebra.eigvals(a::AbstractNamedDimsArray, args...; kwargs...)
+  return TensorAlgebra.eigvals(a, args...; kwargs...)
+end
+
+function TensorAlgebra.left_null(
+  a::AbstractNamedDimsArray, dimnames_codomain, dimnames_domain; kwargs...
+)
+  codomain = to_nameddimsindices(a, dimnames_codomain)
+  domain = to_nameddimsindices(a, dimnames_domain)
+  n_unnamed = left_null(dename(a), nameddimsindices(a), codomain, domain; kwargs...)
+  name_n = randname(dimnames(a, 1))
+  namedindices_n = named(last(axes(n_unnamed)), name_n)
+  nameddimsindices_n = (codomain..., namedindices_n)
+  return nameddimsarray(n_unnamed, nameddimsindices_n)
+end
+function TensorAlgebra.left_null(a::AbstractNamedDimsArray, dimnames_codomain; kwargs...)
+  codomain = to_nameddimsindices(a, dimnames_codomain)
+  domain = setdiff(nameddimsindices(a), codomain)
+  return left_null(a, codomain, domain; kwargs...)
+end
+
+function TensorAlgebra.right_null(
+  a::AbstractNamedDimsArray, dimnames_codomain, dimnames_domain; kwargs...
+)
+  codomain = to_nameddimsindices(a, dimnames_codomain)
+  domain = to_nameddimsindices(a, dimnames_domain)
+  n_unnamed = right_null(dename(a), nameddimsindices(a), codomain, domain; kwargs...)
+  name_n = randname(dimnames(a, 1))
+  namedindices_n = named(first(axes(n_unnamed)), name_n)
+  nameddimsindices_n = (namedindices_n, domain...)
+  return nameddimsarray(n_unnamed, nameddimsindices_n)
+end
+function TensorAlgebra.right_null(a::AbstractNamedDimsArray, dimnames_codomain; kwargs...)
+  codomain = to_nameddimsindices(a, dimnames_codomain)
+  domain = setdiff(nameddimsindices(a), codomain)
+  return right_null(a, codomain, domain; kwargs...)
+end
diff --git a/test/test_tensoralgebra.jl b/test/test_tensoralgebra.jl
index f9576c5..aa65084 100644
--- a/test/test_tensoralgebra.jl
+++ b/test/test_tensoralgebra.jl
@@ -1,5 +1,5 @@
-using LinearAlgebra: qr, svd
-using NamedDimsArrays: namedoneto, dename
+using LinearAlgebra: lq, norm, qr, svd
+using NamedDimsArrays: dename, left_null, nameddimsindices, namedoneto, right_null
 using TensorAlgebra: TensorAlgebra, contract, fusedims, splitdims
 using Test: @test, @testset, @test_broken
 elts = (Float32, Float64, Complex{Float32}, Complex{Float64})
@@ -43,20 +43,24 @@ elts = (Float32, Float64, Complex{Float32}, Complex{Float64})
     @test dename(na_split, ("j", "i", "b")) ≈
       reshape(dename(na, ("a", "b")), (dename(j), dename(i), dename(b)))
   end
-  @testset "qr" begin
+  @testset "qr/lq" begin
     dims = (2, 2, 2, 2)
     i, j, k, l = namedoneto.(dims, ("i", "j", "k", "l"))
 
     a = randn(elt, i, j)
     # TODO: Should this be allowed?
     # TODO: Add support for specifying new name.
-    q, r = qr(a, (i,))
-    @test q * r ≈ a
+    for f in (qr, lq)
+      x, y = f(a, (i,))
+      @test x * y ≈ a
+    end
 
     a = randn(elt, i, j, k, l)
     # TODO: Add support for specifying new name.
-    q, r = qr(a, (i, k), (j, l))
-    @test q * r ≈ a
+    for f in (qr, lq)
+      x, y = f(a, (i, k), (j, l))
+      @test x * y ≈ a
+    end
   end
   @testset "svd" begin
     dims = (2, 2, 2, 2)
@@ -72,5 +76,26 @@ elts = (Float32, Float64, Complex{Float32}, Complex{Float64})
     # TODO: Add support for specifying new name.
     u, s, v = svd(a, (i, k), (j, l))
     @test u * s * v ≈ a
+
+    # Test truncation.
+    a = randn(elt, i, j, k, l)
+    u, s, v = svd(a, (i, k), (j, l); trunc=(; maxrank=2))
+    @test u * s * v ≉ a
+    @test Int.(Tuple(size(s))) == (2, 2)
+  end
+  @testset "left_null/eight_null" begin
+    dims = (2, 2, 2, 2)
+    i, j, k, l = namedoneto.(dims, ("i", "j", "k", "l"))
+
+    a = randn(elt, i, j, k, l)
+    # TODO: Add support for specifying new name.
+    for n in (left_null(a, (i, k), (j, l)), left_null(a, (i, k)))
+      @test (i, k) ⊆ nameddimsindices(n)
+      @test norm(n * a) ≈ 0
+    end
+    for n in (right_null(a, (i, k), (j, l)), right_null(a, (i, k)))
+      @test (j, l) ⊆ nameddimsindices(n)
+      @test norm(n * a) ≈ 0
+    end
   end
 end