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Smith normal form
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1	Computing Persistent Homology ∗ Afra Zomorodian Add to Reading List Source URL: www.ayasdi.com Language: English - Date: 2015-02-12 20:18:44 Algebraic topology Smith normal form Simplicial homology Homology Spectral sequence Chain complex Simplicial complex Simplex Gaussian elimination Algebra Mathematics Topology
2	PDF Document Add to Reading List Source URL: www.ayasdi.com Language: English - Date: 2013-01-14 13:04:33 Algebraic topology Smith normal form Simplicial homology Homology Spectral sequence Chain complex Simplicial complex Simplex Gaussian elimination Algebra Mathematics Topology
3	Computing Simplicial Homology Based on Efficient Smith Normal Form Algorithms Jean-Guillaume Dumas1 , Frank Heckenbach2 , David Saunders3 , and Volkmar Welker4 1 2 Add to Reading List Source URL: ljk.imag.fr Language: English - Date: 2010-03-30 05:49:30 Matrix theory Algebraic topology Topological spaces Matrices Smith normal form Simplicial homology Simplicial complex Matrix Rank Algebra Mathematics Linear algebra
4	The Smith Normal Form of a Matrix Patrick J. Morandi February 17, 2005 In this note we will discuss the structure theorem for finitely generated modules over a principal ideal domain from the point of view of matrices. W Add to Reading List Source URL: sierra.nmsu.edu Language: English - Date: 2005-02-17 16:05:46 Matrix theory Matrices Numerical linear algebra Matrix Invertible matrix Diagonal matrix Kernel Smith normal form Ideal Algebra Linear algebra Mathematics
5	(C[removed]Society for Industrial and Applied Mathematics SIAM J. COMPUT. Add to Reading List Source URL: www.williamstein.org Language: English - Date: 2008-02-07 02:51:37 Matrix theory Numerical linear algebra Matrices Multiplication Matrix multiplication Matrix Gaussian elimination Determinant Smith normal form Algebra Mathematics Linear algebra
6	On the Worst-case Complexity Add to Reading List Source URL: itee.uq.edu.au Language: English - Date: 2000-02-10 02:35:36 Numerical linear algebra Matrix theory Matrices Computational complexity theory Gaussian elimination Hermite normal form Matrix Smith normal form Triangular matrix Algebra Mathematics Linear algebra
7	PORTUGALIAE MATHEMATICA Vol. 54 Fasc. 3 – 1997 Add to Reading List Source URL: www.emis.de Language: English - Date: 2001-03-28 01:37:04 Linear algebra Matrix theory Smith normal form Invariant Domain Similar matrix Divisor Rank Ring Algebra Mathematics Ring theory
8	Classification of Finitely Generated Abelian Groups The proof given below uses vector space techniques (Smith Normal Form) and generalizes from abelian groups to “modules over PIDs” (essentially generalized vector spaces). Smith Normal Form is a reduced form similar to the row reduced matrices encountered in Add to Reading List Source URL: www.cs.uleth.ca Language: English - Date: 2000-11-03 01:05:21 Algebraic structures Geometric group theory Finitely-generated abelian group Abelian group Generating set of a group Group Finitely-generated module Free abelian group Abstract algebra Algebra Group theory
9	PDF Document Add to Reading List Source URL: dimacs.rutgers.edu Language: English - Date: 2001-07-18 03:53:12 Numerical linear algebra Matrix theory Matrices Smith normal form Gaussian elimination Rank Matrix Hermite normal form Diagonalizable matrix Algebra Mathematics Linear algebra