diff --git a/distributed_shampoo/shampoo_types.py b/distributed_shampoo/shampoo_types.py
index 234c598..4074fea 100644
--- a/distributed_shampoo/shampoo_types.py
+++ b/distributed_shampoo/shampoo_types.py
@@ -93,6 +93,12 @@ class PreconditionerConfig(AbstractDataclass):
     amortized_computation_config: MatrixFunctionConfig
     num_tolerated_failed_amortized_computations: int = 3
 
+    def __post_init__(self) -> None:
+        if self.num_tolerated_failed_amortized_computations < 0:
+            raise ValueError(
+                f"Invalid num_tolerated_failed_amortized_computations value: {self.num_tolerated_failed_amortized_computations}. Must be >= 0."
+            )
+
 
 @dataclass(kw_only=True)
 class ShampooPreconditionerConfig(PreconditionerConfig):
diff --git a/distributed_shampoo/tests/shampoo_types_test.py b/distributed_shampoo/tests/shampoo_types_test.py
index 2ec773f..dd9a59d 100644
--- a/distributed_shampoo/tests/shampoo_types_test.py
+++ b/distributed_shampoo/tests/shampoo_types_test.py
@@ -9,12 +9,23 @@
 
 import re
 import unittest
-from typing import Type
+from abc import ABC, abstractmethod
+from typing import Generic, Type, TypeVar
 
 from distributed_shampoo.shampoo_types import (
     AdaGradGraftingConfig,
     AdamGraftingConfig,
+    EigenvalueCorrectedShampooPreconditionerConfig,
+    PreconditionerConfig,
     RMSpropGraftingConfig,
+    ShampooPreconditionerConfig,
+)
+from matrix_functions_types import (
+    DefaultEigenConfig,
+    DefaultEighConfig,
+    EigenvectorConfig,
+    MatrixFunctionConfig,
+    RootInvConfig,
 )
 
 
@@ -69,3 +80,72 @@ def _get_grafting_config_type(
         self,
     ) -> Type[RMSpropGraftingConfig] | Type[AdamGraftingConfig]:
         return AdamGraftingConfig
+
+
+PreconditionerConfigType = TypeVar(
+    "PreconditionerConfigType", bound=Type[PreconditionerConfig]
+)
+AmortizedComputationConfigType = TypeVar(
+    "AmortizedComputationConfigType", bound=MatrixFunctionConfig
+)
+
+
+class AbstractPreconditionerConfigTest:
+    class PreconditionerConfigTest(
+        ABC,
+        unittest.TestCase,
+        Generic[PreconditionerConfigType, AmortizedComputationConfigType],
+    ):
+        def test_illegal_num_tolerated_failed_amortized_computations(self) -> None:
+            num_tolerated_failed_amortized_computations = -1
+            with (
+                self.assertRaisesRegex(
+                    ValueError,
+                    re.escape(
+                        f"Invalid num_tolerated_failed_amortized_computations value: "
+                        f"{num_tolerated_failed_amortized_computations}. Must be >= 0."
+                    ),
+                ),
+            ):
+                self._get_preconditioner_config_type()(
+                    amortized_computation_config=self._get_amortized_computation_config(),
+                    num_tolerated_failed_amortized_computations=num_tolerated_failed_amortized_computations,
+                )
+
+        @abstractmethod
+        def _get_preconditioner_config_type(
+            self,
+        ) -> PreconditionerConfigType: ...
+
+        @abstractmethod
+        def _get_amortized_computation_config(
+            self,
+        ) -> AmortizedComputationConfigType: ...
+
+
+class ShampooPreconditionerConfigTest(
+    AbstractPreconditionerConfigTest.PreconditionerConfigTest[
+        Type[ShampooPreconditionerConfig], RootInvConfig
+    ]
+):
+    def _get_amortized_computation_config(self) -> RootInvConfig:
+        return DefaultEigenConfig
+
+    def _get_preconditioner_config_type(
+        self,
+    ) -> Type[ShampooPreconditionerConfig]:
+        return ShampooPreconditionerConfig
+
+
+class EigenvalueCorrectedShampooPreconditionerConfigTest(
+    AbstractPreconditionerConfigTest.PreconditionerConfigTest[
+        Type[EigenvalueCorrectedShampooPreconditionerConfig], EigenvectorConfig
+    ]
+):
+    def _get_amortized_computation_config(self) -> EigenvectorConfig:
+        return DefaultEighConfig
+
+    def _get_preconditioner_config_type(
+        self,
+    ) -> Type[EigenvalueCorrectedShampooPreconditionerConfig]:
+        return EigenvalueCorrectedShampooPreconditionerConfig