In this paper, a new model based on differential-algebraic equations(DAEs) for solving convex quadratic programming(CQP) problems is proposed. It is proved that the new approach is guaranteed to generate optimal solutions for this class of optimization problems. This paper also shows that the ...
A model based on the penalty method for 3-D contact problems with friction is proposed. The friction forces are assumed to follow the Coulomb law, with a slip criterion treated in the context of a standard return mapping algorithm. Consistent linearization of the field equations is performed ...
Solving Word Problems With Quadratic Equations 1. The length of a rectangle is 1 less than 2 times the width. The area of the rectangle is 45 cm2. Find the length and the width. 2. The width of a rectangular mural is 5 m less than the height. The area is 126 m2. Find the ...
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Write equations setting each of the bits in a single row of AD to zero. Each equation imposes a single linear constraint on the choice we have for the bits of the Di values. To force a single result bit to zero we have to create 128 linear constraints. If we have n different Di ...
This class is based on decomposing general cost coefficients in a multiplicative way and requires solving a nonlinear system of equations with O(n2) variables and O(n4) equations. We do provide a polynomial time solution for this system whenever a solution exists. Chen [12] gave a similar ...
Mathematical Methods in Physics Partial Differential Equations Tomography Statistical Theory and Methods Literature cited A. Abdukarimov, “The determination of a harmonic function in a circle from data prescribed on two radii,” in: Uniqueness, Stability and Methods of Solution of Inverse and Ill...
The overdetermined problem of partial differential equations usually contains too many prescribed boundary conditions. In general, these types of problems are not well posed, and the existence of solutions imposes strong constraints on the shape of the domain....
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Suppose your problem has m equations and n unknowns. If the command J = sparse(ones(m,n)) causes an Out of memory error on your machine, then this is certainly too large a problem. If it does not result in an error, the problem might still be too large. You can find out only ...