{"name":"iml","version":"1.0.5","synopsis":{"source":"Solver for systems of linear equations over the integers","html":"

Solver for systems of linear equations over the integers

","plain":"Solver for systems of linear equations over the integers\n\n","locale":"en_US.UTF-8"},"description":{"source":"IML is a C library implementing algorithms for computing exact\nsolutions to dense systems of linear equations over the integers.\nCurrently, IML provides the following functionality:\n\n@itemize\n@item Nonsingular rational system solving:\ncompute the unique rational solution X to the system AX=B, where A and B\nare integer matrices, A nonsingular.\n@item Compute the right nullspace or kernel of an integer matrix.\n@item Certified linear system solving:\ncompute a minimal denominator solution x to a system Ax=b, where b is an\ninteger vector and A is an integer matrix with arbitrary shape and\nrank profile.\n@end itemize\n\nIn addition, IML provides some low level routines for a variety of mod p\nmatrix operations: computing the row-echelon form, determinant, rank\nprofile, and inverse of a mod p matrix. These mod p routines are not\ngeneral purpose; they require that p satisfy some preconditions based on\nthe dimension of the input matrix (usually p should be prime and should be\nno more than about 20 bits long).","html":"

IML is a C library implementing algorithms for computing exact solutions to dense systems of linear equations over the integers. Currently, IML provides the following functionality:

• Nonsingular rational system solving: compute the unique rational solution X to the system AX=B, where A and B are integer matrices, A nonsingular.

• Compute the right nullspace or kernel of an integer matrix.

• Certified linear system solving: compute a minimal denominator solution x to a system Ax=b, where b is an integer vector and A is an integer matrix with arbitrary shape and rank profile.

In addition, IML provides some low level routines for a variety of mod p matrix operations: computing the row-echelon form, determinant, rank profile, and inverse of a mod p matrix. These mod p routines are not general purpose; they require that p satisfy some preconditions based on the dimension of the input matrix (usually p should be prime and should be no more than about 20 bits long).

","plain":"IML is a C library implementing algorithms for computing exact solutions\nto dense systems of linear equations over the integers. Currently, IML\nprovides the following functionality:\n\n * Nonsingular rational system solving: compute the unique rational\n solution X to the system AX=B, where A and B are integer matrices,\n A nonsingular.\n\n * Compute the right nullspace or kernel of an integer matrix.\n\n * Certified linear system solving: compute a minimal denominator\n solution x to a system Ax=b, where b is an integer vector and A is\n an integer matrix with arbitrary shape and rank profile.\n\nIn addition, IML provides some low level routines for a variety of mod p\nmatrix operations: computing the row-echelon form, determinant, rank\nprofile, and inverse of a mod p matrix. These mod p routines are not\ngeneral purpose; they require that p satisfy some preconditions based on\nthe dimension of the input matrix (usually p should be prime and should\nbe no more than about 20 bits long).\n\n","locale":"en_US.UTF-8"},"home-page":"https://cs.uwaterloo.ca/~astorjoh/iml.html","derivations":[{"system":"x86_64-linux","target":"","derivation":"/gnu/store/9swag05w5q3713c86in1dnl721y1qj2g-iml-1.0.5.drv"},{"system":"x86_64-linux","target":"i586-pc-gnu","derivation":"/gnu/store/5s7773s5kndj4nq1afqyqf30k6d0rl29-iml-1.0.5.drv"},{"system":"x86_64-linux","target":"arm-linux-gnueabihf","derivation":"/gnu/store/hm05s4wch9i4bkf2h8n1gj553arff5lr-iml-1.0.5.drv"},{"system":"x86_64-linux","target":"aarch64-linux-gnu","derivation":"/gnu/store/rv71j7zipwhc98xn20mr6izy3xxld2wj-iml-1.0.5.drv"},{"system":"mips64el-linux","target":"","derivation":"/gnu/store/qafg3m0pvssx92m0yc9bsk2iwq5l5621-iml-1.0.5.drv"},{"system":"i686-linux","target":"","derivation":"/gnu/store/4v5r7ldlndx1z9hzvrjaclmm0w1yhaha-iml-1.0.5.drv"},{"system":"i586-gnu","target":"","derivation":"/gnu/store/xr4h6sisfdd4lhrzvcp97wgjwyv9kmzh-iml-1.0.5.drv"},{"system":"armhf-linux","target":"","derivation":"/gnu/store/d199ypjmcsfd5g5qxmzlzfi0d7yjzbrw-iml-1.0.5.drv"},{"system":"aarch64-linux","target":"","derivation":"/gnu/store/nyz033mkps8j7g1i4x6r5v7rh9d1bhhi-iml-1.0.5.drv"}]}