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Maximum parsimony was done using PAUP [ 21] with heuristic search based on tree bisection and reconnection (TBR) swap method.
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In particular, we generalize Lawler׳s algorithm, which is based on the bisection strategy.
Based on the bisection search method, a greedy algorithm with low complexity is proposed for solving problem P2.
Then, an iterative algorithm has been proposed based on the bisection method to solve the relaxed problem.
The authors in [19, 20] formulated the problems as optimization (feasibility) problems and gave some approximate solutions based on the Bisection method.
These algorithms are based on the bisection method, and they generalize the well-known procedure for real-symmetric and tridiagonal matrices.
We recast the problem in the form of semidefinite program and an iterative algorithm based on the bisection method is proposed to achieve the optimal solution.
An iterative algorithm based on the bisection method is proposed to solve the relaxed version (relaxed the non-convex rank constraints in the problem) of the reformulated problem.
Throughout, we assume that mesh-refinement is based on bisection only, i.e., refined elements are bisected into two sons of half length.
A tree volume estimate is usually based on three parameters: tree species, tree diameter and tree height.
We investigate the combination of the three quasi-Newton methods with three different line-search methods either based on bisection, quadratic interpolation, or cubic interpolation.
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