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edit approved Mar 12, 2022 at 19:19
The Amplitwist
edit approved Mar 12, 2022 at 19:19
The Amplitwist
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There is a description of the appropriate Groebner basis algorithm in this book:

Franz Pauer, Andreas Unterkircher. Gröbner Bases for Ideals in Laurent Polynomial Rings and their Application to Systems of Difference Equations.Gröbner Bases for Ideals in Laurent Polynomial Rings and their Application to Systems of Difference Equations. AAECC 9, 271-291271–291 (1999)

I've implemented it in the single-variable case (in the software Regina) and I've been meaning to implement it in the multi-variable case as well. But I usually get too sad to finish --– when I look at how inefficient the algorithm is. Some day I'll have it fully implemented in Regina.

The book is quite well written. I find it easy to read.

There is a description of the appropriate Groebner basis algorithm in this book:

Franz Pauer, Andreas Unterkircher. Gröbner Bases for Ideals in Laurent Polynomial Rings and their Application to Systems of Difference Equations. AAECC 9, 271-291 (1999)

I've implemented it in the single-variable case (in the software Regina) and I've been meaning to implement it in the multi-variable case as well. But I usually get too sad to finish -- when I look at how inefficient the algorithm is. Some day I'll have it fully implemented in Regina.

The book is quite well written. I find it easy to read.

There is a description of the appropriate Groebner basis algorithm in this book:

Franz Pauer, Andreas Unterkircher. Gröbner Bases for Ideals in Laurent Polynomial Rings and their Application to Systems of Difference Equations. AAECC 9, 271–291 (1999)

I've implemented it in the single-variable case (in the software Regina) and I've been meaning to implement it in the multi-variable case as well. But I usually get too sad to finish – when I look at how inefficient the algorithm is. Some day I'll have it fully implemented in Regina.

The book is quite well written. I find it easy to read.

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Ryan Budney
Ryan Budney
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There is a description of the appropriate Groebner basis algorithm in this book:

Franz Pauer, Andreas Unterkircher. Gröbner Bases for Ideals in Laurent Polynomial Rings and their Application to Systems of Difference Equations. AAECC 9, 271-291 (1999)

I've implemented it in the single-variable case (in the software Regina) and I've been meaning to implement it in the multi-variable case as well. But I usually get too sad to finish -- when I look at how inefficient the algorithm is. Some day I'll have it fully implemented in Regina.

The book is quite well written. I find it easy to read.