21 lines
1.0 KiB
Plaintext
21 lines
1.0 KiB
Plaintext
IML is a free library of C source code which implements algorithms for computing
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exact solutions to dense systems of linear equations over the integers.
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Currently, IML provides the following functionalities:
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- Nonsingular rational system solving: compute the unique rational solution X
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to the system AX=B, where A and B are integer matrices, A nonsingular.
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- Compute the right nullspace or kernel of an integer matrix.
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- Certified linear system solving: compute a minimal denominator solution x to
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a system Ax=b, where b is an integer vector and A is an integer matrix with
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arbitrary shape and rank profile.
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In addition, IML provides some low level routines for a variety of mod p matrix
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operations: computing the row-echelon form, determinant, rank profile, and
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inverse of a mod p matrix. These mod p routines are not general purpose; they
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require that p satisfy some preconditions based on the dimension of the input
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matrix (usually p should be prime and should be no more than about 20 bits
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long).
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WWW: https://cs.uwaterloo.ca/~astorjoh/iml.html
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