TY - CHAP TI - The Drazin inverse of an operator AU - Campbell, S.L. T2 - Recent Applications of Generalized Inverses A2 - Campbell, S.L. T3 - Pitman Advanced Publishing Program PY - 1982/// PB - Pitman Publishing Company SV - 66 ER - TY - CONF TI - Systolic networks for orthogonal equivalence transformations and their applications AU - Heller, D.E. AU - Ipsen, I.C.F. T2 - Conference on Advanced Research in VLSI A2 - Penfield, P. C2 - 1982/// C3 - Proceedings of the Conference on Advanced Research in VLSI DA - 1982/// PY - 1982/// SP - 113–122 PB - Artech House, Inc ER - TY - RPRT TI - User’s Guide of ERC Slitting Package AU - Lamendola, C.N. AU - Fang, S. A3 - AT&T Engineering Research Center DA - 1982/3// PY - 1982/3// M1 - CC3083-02 M3 - Technical Report PB - AT&T Engineering Research Center SN - CC3083-02 ER - TY - RPRT TI - Fiber Selection Problem in the Lightguide Cable Ribboning Process AU - Murr, M.R. AU - Fang, S. A3 - AT&T Engineering Research Center DA - 1982/9// PY - 1982/9// M1 - CC7778 M3 - Technical Report PB - AT&T Engineering Research Center SN - CC7778 ER - TY - CONF TI - Optimal Scheduling of the Coil Slitting Problem AU - Lamendola, C.N. AU - Fang, S. C2 - 1982/// C3 - IIE Proceedings of Annual Conference DA - 1982/// SP - 476 – 480 ER - TY - JOUR TI - A Note on Q-Matrices AU - Fang, S. T2 - Bulletin of the Institute of Mathematics Academia Sinica DA - 1982/// PY - 1982/// VL - 10 IS - 3 SP - 239 – 243 ER - TY - JOUR TI - Fixed Point Models for the Equilibrium Problems on Transportation Networks AU - Fang, Shu-Cherng T2 - Tamkang Journal of Mathematics DA - 1982/// PY - 1982/// VL - 13 IS - 2 SP - 181-191 ER - TY - JOUR TI - Solving Linear Constrained Separable Convex Programs via Generalized Geometric Programming Duality AU - Fang, Shu-Cherng T2 - Chinese Journal of Mathematics DA - 1982/12// PY - 1982/12// VL - 10 IS - 2 SP - 103-112 ER - TY - JOUR TI - Traffic Equilibria on Multiclass-User Transportation Networks Analyzed via Variational Inequalities AU - Fang, Shu-Cherng T2 - Tamkang Journal of Mathematics DA - 1982/// PY - 1982/// VL - 13 IS - 1 SP - 1-9 ER - TY - JOUR TI - Generalized variational inequalities AU - Fang, S. C. AU - Peterson, E. L. T2 - Journal of Optimization Theory and Applications DA - 1982/11// PY - 1982/11// DO - 10.1007/bf00935344 VL - 38 IS - 3 SP - 363-383 J2 - J Optim Theory Appl LA - en OP - SN - 0022-3239 1573-2878 UR - http://dx.doi.org/10.1007/bf00935344 DB - Crossref ER - TY - JOUR TI - A model for locating repair stations in a sequential manufacturing process AU - Fang, S.C. T2 - Applied Mathematical Modelling AB - With the increasing complexity of final products, the sequential manufacturing process becomes very important. It breaks a production line into a linear sequence of simpler individual operations. By performing each individual operation step by step, we can manufacture a final product with the desired high complexity. For a given sequential manufacturing process with n operations S1, S2, …, Sn, we assume there is an operational cost ci and a success probability pi associated with each operation Si. After each operation, it is possible to locate a repair station Ri. In the repair station, the first task is to test defective products at a unit test cost ti, j (which may depend on the location of the previous repair station Rj). Then the defectives are fixed at a unit repair cost ri, j (which may also depend on the location of the previous station Rj). The settings of repair stations affect both the total manufacturing cost and final yield. Our major economic incentive is to minimize the unit manufacturing cost per fault — free final product by locating a number of repair stations at proper places. Obviously there are 2n possible combinations in total. A dynamic programming model with an algorithm of 0(n3) complexity is used to solve this problem. DA - 1982/10// PY - 1982/10// DO - 10.1016/s0307-904x(82)80099-1 VL - 6 IS - 5 SP - 363-368 J2 - Applied Mathematical Modelling LA - en OP - SN - 0307-904X UR - http://dx.doi.org/10.1016/s0307-904x(82)80099-1 DB - Crossref ER - TY - JOUR TI - A second order singular linear system arising in electric power systems analysis† AU - Campbell, Stephen L. AU - Rose, Nicholas J. T2 - International Journal of Systems Science AB - Abstract The linear system Mx¨ + (∝ M+ β) K)[xacute] + KX= F with M singular, is decomposed into two linear systems, one singular and one non-singular. The singular ono is solved explicitly in terms of M, K, f, a, S and analysed. DA - 1982/1// PY - 1982/1// DO - 10.1080/00207728208926334 VL - 13 IS - 1 SP - 101-108 J2 - International Journal of Systems Science LA - en OP - SN - 0020-7721 1464-5319 UR - http://dx.doi.org/10.1080/00207728208926334 DB - Crossref ER - TY - JOUR TI - Nontrivial isometries on sp(α) AU - Campbell, Stephen L. T2 - International Journal of Mathematics and Mathematical Sciences AB - sp(α)is a Banach space of sequencesxwithx=(i=0|xi|p+αi=0|xi+1xi|p)1/p. For1<p<,p2,0<α<,α1, there are no nontrivial surjective isometries insp(α). It has been conjectured that there are no nontrivial isometries. This note gives two distinct counterexamples to this conjecture and a partial affirmative answer for the case of isometries with finite codimension. DA - 1982/// PY - 1982/// DO - 10.1155/s0161171282000222 VL - 5 IS - 2 SP - 257–261 SN - 0161-1712 1687-0425 UR - http://dx.doi.org/10.1155/s0161171282000222 ER - TY - JOUR TI - On positive controllers and linear quadratic optimal control problems† AU - Campbell, Stephen L. T2 - International Journal of Control AB - An assumption on the non-negative solutions of quadratic equations has been used to study linear quadratic optimal control problems with positive controllers. This note investigates this assumption in more detail. DA - 1982/11// PY - 1982/11// DO - 10.1080/00207178208932938 VL - 36 IS - 5 SP - 885-888 J2 - International Journal of Control LA - en OP - SN - 0020-7179 1366-5820 UR - http://dx.doi.org/10.1080/00207178208932938 DB - Crossref ER - TY - JOUR TI - Collocation methods for some singular integral equations in linear transport theory AU - Kelley, C.T. AU - Mullikin, T.W. T2 - Journal of Integral Equations DA - 1982/// PY - 1982/// VL - 4 SP - 77–88 ER - TY - JOUR TI - Approximation of solutions to some quadratic integral equations in transport theory AU - Kelley, C.T. T2 - Journal of Integral Equations DA - 1982/// PY - 1982/// VL - 4 SP - 221–237 ER - TY - JOUR TI - Convergence Acceleration for Newton’s Method at Singular Points AU - Decker, D. W. AU - Kelley, C. T. T2 - SIAM Journal on Numerical Analysis AB - If Newton’s method is employed to find a root of a map from a Banach space into itself and the derivative is singular at that root, linear convergence of the Newton sequence to the root is the best that one can expect. In this paper we give sufficient conditions under which Newton’s method may be modified to produce a sequence $\{ x_n \} $ such that the subsequence $\{ x_{2n} \} $ converges quadratically to the root. DA - 1982/2// PY - 1982/2// DO - 10.1137/0719012 VL - 19 IS - 1 SP - 219-229 J2 - SIAM J. Numer. Anal. LA - en OP - SN - 0036-1429 1095-7170 UR - http://dx.doi.org/10.1137/0719012 DB - Crossref ER - TY - JOUR TI - Approximate methods for the solution of the Chandrasekhar H‐equation AU - Kelley, C. T. T2 - Journal of Mathematical Physics AB - We consider two methods of approximate solution to matrix valued analogs of the Chandrasekhar H-equation. We give conditions under which they converge. The first method is a generalization of approximation of the integral by a quadrature. The second is Newton’s method. DA - 1982/11// PY - 1982/11// DO - 10.1063/1.525251 VL - 23 IS - 11 SP - 2097-2100 J2 - Journal of Mathematical Physics LA - en OP - SN - 0022-2488 1089-7658 UR - http://dx.doi.org/10.1063/1.525251 DB - Crossref ER -