diff --git a/quicktex/Matrix.h b/quicktex/Matrix.h
index dd7daa8..908eb99 100644
--- a/quicktex/Matrix.h
+++ b/quicktex/Matrix.h
@@ -361,46 +361,74 @@ class Matrix : public VecBase<std::conditional_t<N == 1, T, VecBase<T, N>>, M> {
     row_type sqr_mag() const { return dot(*this); }
 
     Matrix abs() const {
-        Matrix ret;
-        for (unsigned i = 0; i < N * M; i++) { ret.element(i) = quicktex::abs(element(i)); }
-        return ret;
-    }
-
-    Matrix clamp(T low, T high) {
-        Matrix ret;
-        for (unsigned i = 0; i < N * M; i++) { ret.element(i) = quicktex::clamp(element(i), low, high); }
-        return ret;
-    }
-
-    Matrix clamp(const Matrix &low, const Matrix &high) {
-        Matrix ret;
-        for (unsigned i = 0; i < N * M; i++) {
-            ret.element(i) = quicktex::clamp(element(i), low.element(i), high.element(i));
+        Matrix res;
+        if constexpr (_batched) {
+            auto lb = _batch_type::load_unaligned(&this->at(0));
+            lb = xsimd::abs(lb);
+            lb.store_unaligned(&res[0]);
+        } else {
+            for (unsigned i = 0; i < N * M; i++) { res.element(i) = quicktex::abs(element(i)); }
         }
-        return ret;
+        return res;
+    }
+
+    Matrix clamp(T low, T high) { return clamp(Matrix(low), Matrix(high)); }
+    Matrix clamp(const Matrix &low, const Matrix &high) {
+        Matrix res;
+        if constexpr (_batched) {
+            auto vb = _batch_type::load_unaligned(&this->at(0));
+            auto lb = _batch_type::load_unaligned(&low[0]);
+            auto hb = _batch_type::load_unaligned(&high[0]);
+            vb = quicktex::clamp(vb, lb, hb);
+            vb.store_unaligned(&res[0]);
+        } else {
+            for (unsigned m = 0; m < M; m++) {
+                res[m] = quicktex::clamp<row_type>(get_row(m), low.get_row(m), high.get_row(m));
+            }
+        }
+        return res;
     }
 
    protected:
-    template <typename Op> static inline Matrix map(Matrix &lhs, Op f) {
-        Matrix ret;
-        for (unsigned i = 0; i < lhs.size(); i++) { ret[i] = f(lhs[i]); }
-        return ret;
+    template <typename Op> static inline Matrix map(const Matrix &lhs, Op f) {
+        Matrix res;
+        if constexpr (_batched) {
+            auto lb = _batch_type::load_unaligned(&lhs[0]);
+            auto resb = f(lb);
+            resb.store_unaligned(&res[0]);
+        } else {
+            for (unsigned i = 0; i < lhs.size(); i++) { res[i] = f(lhs[i]); }
+        }
+        return res;
     }
 
     template <typename Op, typename R>
         requires operable<R, T, Op>
     static inline Matrix map(const Matrix &lhs, const R &rhs, Op f) {
-        Matrix r;
-        for (unsigned i = 0; i < lhs.size(); i++) { r[i] = f(lhs[i], rhs); }
-        return r;
+        Matrix res;
+        if constexpr (_batched && operable<_batch_type, R, Op>) {
+            auto lb = _batch_type::load_unaligned(&lhs[0]);
+            auto resb = f(lb, rhs);
+            resb.store_unaligned(&res[0]);
+        } else {
+            for (unsigned i = 0; i < lhs.size(); i++) { res[i] = f(lhs[i], rhs); }
+        }
+        return res;
     }
 
     template <typename Op, typename R>
         requires operable<R, T, Op>
     static inline Matrix map(const Matrix &lhs, const Matrix<R, N, M> &rhs, Op f) {
-        Matrix r;
-        for (unsigned i = 0; i < lhs.size(); i++) { r[i] = f(lhs[i], rhs[i]); }
-        return r;
+        Matrix res;
+        if constexpr (_batched && operable<_batch_type, _batch_type, Op>) {
+            auto lb = _batch_type::load_unaligned(&lhs[0]);
+            auto rb = xsimd::load_as<T>(&rhs[0], xsimd::unaligned_mode{});
+            auto resb = f(lb, rb);
+            resb.store_unaligned(&res[0]);
+        } else {
+            for (unsigned i = 0; i < lhs.size(); i++) { res[i] = f(lhs[i], rhs[i]); }
+        }
+        return res;
     }
 
     class column_iterator : public index_iterator_base<column_iterator> {
@@ -438,26 +466,32 @@ class Matrix : public VecBase<std::conditional_t<N == 1, T, VecBase<T, N>>, M> {
        private:
         V *_matrix;
     };
-};
 
-template <typename T, size_t M, typename A = xsimd::default_arch> class BatchVec : Vec<xsimd::batch<T, A>, M> {
-    template <size_t N, typename U = xsimd::unaligned_mode>
-    static BatchVec load_columns(const Matrix<T, N, M> &matrix, size_t column) {
-        const size_t batch_size = xsimd::batch<T, A>::size;
-        assert(column + batch_size <= N);
+   private:
+    using _batch_type = std::conditional_t<N == 1, typename xsimd::make_sized_batch<T, M>::type, void>;
+    static constexpr bool _batched = !std::is_void_v<_batch_type>;
 
-        BatchVec ret;
-        for (unsigned i = 0; i < M; i++) { ret[i] = xsimd::load<A, T>(&(matrix[column][i]), U{}); }
-        return ret;
+    // right now batched types are always the whole vector but that might change
+    template <bool b = true> using _chunk_type = std::conditional_t<b && _batched, _batch_type, row_type>;
+
+    template <bool b = true> static constexpr size_t _chunk_count = b && _batched ? 1 : M;
+
+    template <bool b = true> inline _chunk_type<b> get_chunk(size_t i) const {
+        assert(i < _chunk_count<b>);
+        if constexpr (b && _batched) {
+            return _chunk_type<b>::load_unaligned(&(this->at(0)));
+        } else {
+            return get_row(i);
+        }
     }
 
-    template <typename U = xsimd::unaligned_mode, typename V, size_t N>
-    void store_columns(Matrix<T, N, M> &matrix, size_t column) {
-        const size_t batch_size = xsimd::batch<T, A>::size;
-        assert(column + batch_size <= N);
-
-        for (unsigned i = 0; i < M; i++) { this->at(i).store((&(matrix[column][i]), U{})); }
+    template <bool b = true> inline void set_chunk(size_t i, _chunk_type<b> &value) const {
+        assert(i < _chunk_count<b>);
+        if constexpr (b && _batched) {
+            xsimd::store_unaligned(&(this->at(0)), value);
+        } else {
+            set_row(i, value);
+        }
     }
 };
-
 }  // namespace quicktex
\ No newline at end of file
diff --git a/quicktex/util/math.h b/quicktex/util/math.h
index 172c1b4..113b227 100644
--- a/quicktex/util/math.h
+++ b/quicktex/util/math.h
@@ -27,17 +27,49 @@
 #include <type_traits>
 #include <vector>
 
+#include "util/ranges.h"
 #include "xsimd/xsimd.hpp"
 
 namespace quicktex {
 
+namespace detail {
 using std::abs;    // abs overload for builtin types
 using xsimd::abs;  // abs overload for xsimd buffers
+}  // namespace detail
 
-template <typename S> constexpr S clamp(S value, S low, S high) {
+template <typename S>
+    requires requires(S &s) { s.abs(); }
+constexpr S abs(S value) {
+    return value.abs();
+}
+
+template <typename S>
+    requires requires(S &s) { detail::abs(s); }
+constexpr S abs(S value) {
+    return detail::abs(value);
+}
+
+template <typename S>
+    requires requires(S &s) { s.clamp(s, s); }
+constexpr S clamp(S value, S low, S high) {
+    assert(low <= high);
+    return value.clamp(low, high);
+}
+
+template <typename S>
+    requires std::is_scalar_v<S>
+constexpr S clamp(S value, S low, S high) {
     assert(low <= high);
     if (value < low) return low;
     if (value > high) return high;
     return value;
 }
+
+template <typename S, typename A>
+constexpr S clamp(xsimd::batch<S, A> value, const xsimd::batch<S, A> &low, const xsimd::batch<S, A> &high) {
+    value = xsimd::select(xsimd::lt(low), low, value);
+    value = xsimd::select(xsimd::gt(high), high, value);
+    return value;
+}
+
 }  // namespace quicktex
\ No newline at end of file
diff --git a/quicktex/util/ranges.h b/quicktex/util/ranges.h
index f53a88c..c9cc6c3 100644
--- a/quicktex/util/ranges.h
+++ b/quicktex/util/ranges.h
@@ -20,6 +20,7 @@
 #pragma once
 
 #include <algorithm>
+#include <array>
 #include <cassert>
 #include <cstdint>
 #include <functional>
diff --git a/tests/ctest/TestMatrix.cpp b/tests/ctest/TestMatrix.cpp
index 3ee866e..2002cb2 100644
--- a/tests/ctest/TestMatrix.cpp
+++ b/tests/ctest/TestMatrix.cpp
@@ -147,5 +147,31 @@ TEST(Vec_int, copy) {
 
     EXPECT_EQ(out, arr);
 }
+
+TEST(Vec_int, neg) {
+    auto a = Vec<int, 4>{1, 2, 3, 4};
+
+    expect_matrix_eq(-a, {-1, -2, -3, -4});
+}
+
+TEST(Vec_int, add) {
+    auto a = Vec<int, 4>{1, 2, 3, 4};
+    auto b = Vec<int, 4>{5, 6, 7, 8};
+
+    expect_matrix_eq(a + b, {6, 8, 10, 12});
+}
+
+TEST(Vec_int, sub) {
+    auto b = Vec<int, 4>{1, 2, 3, 4};
+    auto a = Vec<int, 4>{5, 6, 7, 8};
+
+    expect_matrix_eq(a - b, {4, 4, 4, 4});
+}
+
+TEST(Vec_int, abs) {
+    auto a = Vec<int, 4>{1, -5, -1, 0};
+
+    expect_matrix_eq(a.abs(), {1, 5, 1, 0});
+}
 // endregion
 }  // namespace quicktex::tests
\ No newline at end of file