Proves unique nonnegative solution exists for Ax - ||x||_1 x = b under invertible M-matrix A and nonnegative b, then proposes convergent fixed-point, Newton, and doubling algorithms for numerical computation.
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Theoretical analysis and numerical solution to a vector equation $Ax-\|x\|_1x=b$
Proves unique nonnegative solution exists for Ax - ||x||_1 x = b under invertible M-matrix A and nonnegative b, then proposes convergent fixed-point, Newton, and doubling algorithms for numerical computation.