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Solving a constrained linear system of equations


Solution of a system of linear equationsDifferences between methods for solving linear equation systemSpecial properties in the direct solving of sparse symmetric linear systemsSolving sub-matrix preserving overall linear systemSystem of linear equations - ResolutionHow do I solve system of linear equations?Directly solving non-square subproblem of linear systemSolving a combined system of linear and bilinear equationsSystem of two linear equationsConstrained system of linear equations













0












$begingroup$


I want to solve the linear system of equations
$$
beginequation
Ax = b \
texts.t quad x geq 0
endequation
$$

The matrix A is a sparse symmetric matrix.



What is the best time efficient method to solve this (exactly or approximately) ? What will be the time complexity ?










share|cite|improve this question











$endgroup$







  • 1




    $begingroup$
    Use linear programming with a zero objective.
    $endgroup$
    – Rodrigo de Azevedo
    Mar 11 at 22:03















0












$begingroup$


I want to solve the linear system of equations
$$
beginequation
Ax = b \
texts.t quad x geq 0
endequation
$$

The matrix A is a sparse symmetric matrix.



What is the best time efficient method to solve this (exactly or approximately) ? What will be the time complexity ?










share|cite|improve this question











$endgroup$







  • 1




    $begingroup$
    Use linear programming with a zero objective.
    $endgroup$
    – Rodrigo de Azevedo
    Mar 11 at 22:03













0












0








0





$begingroup$


I want to solve the linear system of equations
$$
beginequation
Ax = b \
texts.t quad x geq 0
endequation
$$

The matrix A is a sparse symmetric matrix.



What is the best time efficient method to solve this (exactly or approximately) ? What will be the time complexity ?










share|cite|improve this question











$endgroup$




I want to solve the linear system of equations
$$
beginequation
Ax = b \
texts.t quad x geq 0
endequation
$$

The matrix A is a sparse symmetric matrix.



What is the best time efficient method to solve this (exactly or approximately) ? What will be the time complexity ?







linear-algebra systems-of-equations linear-programming symmetric-matrices sparse-matrices






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Mar 11 at 22:04









Rodrigo de Azevedo

13k41960




13k41960










asked Mar 11 at 19:57









ShewShew

577413




577413







  • 1




    $begingroup$
    Use linear programming with a zero objective.
    $endgroup$
    – Rodrigo de Azevedo
    Mar 11 at 22:03












  • 1




    $begingroup$
    Use linear programming with a zero objective.
    $endgroup$
    – Rodrigo de Azevedo
    Mar 11 at 22:03







1




1




$begingroup$
Use linear programming with a zero objective.
$endgroup$
– Rodrigo de Azevedo
Mar 11 at 22:03




$begingroup$
Use linear programming with a zero objective.
$endgroup$
– Rodrigo de Azevedo
Mar 11 at 22:03










0






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