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  • ...the ''basis matrix B ''is square and nonsingular. The elements of ''x<sub>B</sub> ''and ''x<sub>S</sub> ''are called the ''basic ''and ''superbasic ' ...t appears that no improvement can be made with the current definition of ''B'', ''S ''and ''N '', a nonbasic variable is selected to be added to ''S'',
    84 KB (13,939 words) - 14:15, 22 January 2012
  • If nonlinear constraints are present, the basis factorization ''B ''= ''LU ''is computed at the start of the first minor iteration. At this As columns of ''B ''are replaced during the minor iterations, LU may fluctuate up or down but
    49 KB (7,841 words) - 11:29, 14 August 2013
  • |''Index''||Result of CPLEX run. (S=Simplex, B=Barrier, MIP=Mixed-Integer) |20||(S,B) Solver method (1 = Primal, 2 = Dual, 4 = Barrier)
    9 KB (1,422 words) - 14:46, 19 March 2020
  • where the vectors ''b<sub>i</sub> '', ''c'', ''d'', ''l'', ''u ''and the matrices ''A<sub>i</sub> \min_{x,\ s}\ \ c^Tx \text{ subject to } Ax + s = b,
    27 KB (4,502 words) - 07:58, 14 August 2013
  • ...determined by an LU factorization of the rectangular matrix ''BS ''= ( ''B S '')''<sup>T</sup>'' with stability being favored more than sparsity. |pivot||If column ''aq ''replaces the ''r''th column of the basis ''B'', pivot is the ''r''th element of a vector ''y ''satisfying ''By ''= ''aq
    50 KB (7,860 words) - 06:38, 7 September 2011
  • | | b<sub>L</sub> | | b<sub>U</sub>
    59 KB (8,573 words) - 06:05, 15 December 2010
  • ''b''4 = ''b''1 ''* b''2. The problem should be built with the extra variable b4 in place of the ''b''4 ''<''= ''b''1
    1 KB (194 words) - 08:14, 10 January 2012
  • |''Inform''||colspan="2"|Result of CPLEX run. (S=Simplex, B=Barrier, MIP=Mixed-Integer) |1||(S,B) Optimal solution is available
    5 KB (715 words) - 07:55, 15 August 2011
  • &gt;&gt; toms a b &gt;&gt; ezsolve(a^2 + 4*b^2 + 3*a - 2*b - a*b)
    5 KB (680 words) - 08:43, 11 August 2011
  • ...inf, sinf, Inform, basis, lpiter, glnodes] = xpress(c, A, x L, x U, b L, b U, xpcontrol, callback, PriLev, Prob, IntVars, ...er bounds on the linear constraints. If empty, then ''b<sub>U</sub>'' = ''b<sub>L</sub>'' assumed.
    27 KB (4,166 words) - 13:28, 22 January 2012
  • b = x(1)-x(2); J = a * [ t.*e1+(e2-e1)*(1-1/b), -t.*e2+(e2-e1)/b, (e1-e2)/x(3) ];
    20 KB (3,073 words) - 10:18, 5 August 2014
  • ==Appendix B: Result - the Output Result Structure== *[[TOMLAB Appendix B|Appendix B: Result - the Output Result Structure]]
    12 KB (1,741 words) - 08:59, 13 August 2011
  • |''QP.B''||Basis vector in TOMLAB QP standard. B. GENO Evolution
    45 KB (6,423 words) - 12:16, 17 December 2011
  • ...ck variables. To perform the numerical test, the residual vector ''r ''= ''b - Ax - s ''is computed. If the largest component of ''r ''is judged to be t ...ted accordingly. At most ''k ''updates are performed before the current ''B ''is factorized directly.
    17 KB (2,798 words) - 09:36, 14 August 2013
  • Node 24: B&B integer solution found; objval -141278 Node 25: B&B integer solution found; objval -141056
    11 KB (1,409 words) - 13:26, 22 January 2012
  • ...u ''and ''l ''as before. If the ''m × n ''matrix ''A ''and ''m''-vector ''b ''are defined as \end{array}\right) \quad and \quad b = \left(\begin{array}{c}
    9 KB (1,582 words) - 10:39, 14 August 2013
  • ...r>''B''(''i'') = 0: Variable ''x''(''i'') is set on its lower bound. <br>''B''(''i'') = ''-''1: Variable ''x''(''i'') is set on its upper bound. ...lusion of variable x(i) in basic set. sum(B==1)==length(b) holds. See ''QP.B'' as input.
    10 KB (1,580 words) - 03:54, 20 August 2013
  • |''QP.B''||Basis vector in TOMLAB QP standard. ...traints. For equality constraints (or fixed variables), set e.g. b L(k) == b U(k).
    65 KB (9,880 words) - 10:07, 13 August 2013
  • Dantzig, G B, Chapter 28. In Linear Programming and Extensions. Princeton University Pre i: aircraft types and unassigned passengers (a, b, c, d)
    5 KB (482 words) - 09:32, 8 November 2011
  • \right\|_2 \right)+b^Tx + a, with <math>\lambda_1,\ldots,\lambda_n \in R</math>, <math>b \in R^d</math>, <math>a \in R</math> and <math>\phi</math> is either cubic
    27 KB (4,827 words) - 07:10, 4 March 2014
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