Just finished this recently. Glad I was able to arrive at a solution that is also constructive and assumes existence of a normal form for matrices over a certain type of commutative local rings with 2-generated maximal ideal. Matrix equivalence, if solved for a class of rings, has impact on classification problems in other areas such as linear groups, finite group representations, finite-dimensional algebras and more.
The paper is available at the following locations:
OSF Website: Matrix Equivalence and Reduction to Normal Form over Commutative Local Rings with 2-generated Maximal Ideal.
Academia.edu: Matrix Equivalence and Reduction to Normal Form over Commutative Local Rings with 2-generated Maximal Ideal.
ResearchGate: Matrix Equivalence and Reduction to Normal Form over Commutative Local Rings with 2-generated Maximal Ideal.
In both cases the full text is accessible.
The paper is available at the following locations:
OSF Website: Matrix Equivalence and Reduction to Normal Form over Commutative Local Rings with 2-generated Maximal Ideal.
Academia.edu: Matrix Equivalence and Reduction to Normal Form over Commutative Local Rings with 2-generated Maximal Ideal.
ResearchGate: Matrix Equivalence and Reduction to Normal Form over Commutative Local Rings with 2-generated Maximal Ideal.
In both cases the full text is accessible.
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