allTotallyUnimodular
(Package: lintools) :
Test if a list of matrices are all unimodular
Helper function for raghavachari
● Data Source:
CranContrib
● Keywords: internal
● Alias: allTotallyUnimodular
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lintools
(Package: lintools) :
Tools for manipulating linear systems of (in)equations
Tools for manipulating linear systems of (in)equations
● Data Source:
CranContrib
● Keywords:
● Alias: lintools, lintools-package
●
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Generate a constraint set to be used by sparse_project
● Data Source:
CranContrib
● Keywords:
● Alias: print.sparse_constraints, sparseConstraints, sparse_constraints, sparse_constraints.data.frame
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ranges
(Package: lintools) :
Derive variable ranges from linear restrictions
Gaussian and/or Fourier-Motzkin elimination is used to derive upper and lower limits implied by a system of (in)equations.
● Data Source:
CranContrib
● Keywords:
● Alias: ranges
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block_index
(Package: lintools) :
Find independent blocks of equations.
Find independent blocks of equations.
● Data Source:
CranContrib
● Keywords:
● Alias: block_index
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compact
(Package: lintools) :
Remove spurious variables and restrictions
A system of linear (in)equations can be compactified by removing zero-rows and zero-columns (=variables). Such rows and columns may arise after substitution (see subst_value) or eliminaton of a variable (see eliminate).
● Data Source:
CranContrib
● Keywords:
● Alias: compact
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reduceMatrix
(Package: lintools) :
Apply reduction method from Scholtus (2008)
Apply the reduction method in the appendix of Scholtus (2008) to a matrix. Let A with coefficients in {-1,0,1}. If, after a possible permutation of columns it can be written in the form A=[B,C] where each column in B has at most 1 nonzero element, then A is totally unimodular if and only if C is totally unimodular. By transposition, a similar theorem holds for the rows of A. This function iteratively removes rows and columns with only 1 nonzero element from A and returns the reduced result.
● Data Source:
CranContrib
● Keywords: internal
● Alias: reduceMatrix
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pinv
(Package: lintools) :
Moore-Penrose pseudoinverse
Compute the pseudoinverse of a matrix using the SVD-construction
● Data Source:
CranContrib
● Keywords:
● Alias: pinv
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hellerTompkins
(Package: lintools) :
Determine if a matrix is totally unimodular using Heller and Tompkins criterium.
This function is deducorrect internal
● Data Source:
CranContrib
● Keywords: internal
● Alias: hellerTompkins
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is_feasible
(Package: lintools) :
Check feasibility of a system of linear (in)equations
Check feasibility of a system of linear (in)equations
● Data Source:
CranContrib
● Keywords:
● Alias: is_feasible
●
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