An efficient algorithm for sparse null space basis problem using ABS methods
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Publication:1944750
DOI10.1007/s11075-012-9599-1zbMath1262.65055OpenAlexW1976967329MaRDI QIDQ1944750
Nezam Mahdavi-Amiri, Mostafa Khorramizadeh
Publication date: 27 March 2013
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-012-9599-1
linear programmingnumerical resultssparse matrixnull space basisextended ABS algorithmMarkowitz criterion
Computational methods for sparse matrices (65F50) Numerical mathematical programming methods (65K05) Linear programming (90C05)
Related Items
General solution of full row rank linear systems of equations using a new compression ABS model, Identification of unidentified equality constraints for integer programming problems
Uses Software
Cites Work
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- ABS methods for continuous and integer linear equations and optimization
- A class of direct methods for linear systems
- An algorithm to compute a sparse basis of the null space
- Block computation and representation of a sparse nullspace basis of a rectangular matrix
- Separators and structure prediction in sparse orthogonal factorization
- ABS methods and ABSPACK for linear systems and optimization: A review
- Maintaining LU factors of a general sparse matrix
- The Elimination form of the Inverse and its Application to Linear Programming
- Estimation of Sparse Jacobian Matrices and Graph Coloring Blems
- Nested Dissection for Sparse Nullspace Bases
- On computational procedures for the force method
- Direct Methods for Sparse Linear Systems
- Substructuring Methods for Computing the Nullspace of Equilibrium Matrices
- Estimation of sparse hessian matrices and graph coloring problems
- Sparse Orthogonal Schemes for Structural Optimization Using the Force Method
- Numerical Solution of Navier–Stokes Problems by the Dual Variable Method
- The Null Space Problem I. Complexity
- Computing a Sparse Basis for the Null Space
- The Null Space Problem II. Algorithms
- A sparsity-exploiting variant of the Bartels—Golub decomposition for linear programming bases
- Sparse QR factorization in MATLAB
- A primal null-space affine-scaling method
- Multifrontal Computation with the Orthogonal Factors of Sparse Matrices
- Algorithm 832
