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W. Mathis, Lj. Trajkovi'c, M. Koch, and U. Feldmann, "Parameter embedding methods for finding dc operating points of transistor circuits," Proc. NDES '95, Dublin, Ireland, July 1995, pp. 147--150.

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Homotopy Methods For Computing DC Operating Points - Trajkovic   (Correct)

....operating point is obtained when = 1. This combination of variable stimulus and variable gain homotopies has been named the hybrid homotopy. The modified variable stimulus homotopy, chosen for its simplicity and ease of implementation, has been used in a production version of a circuit simulator [15, 16]: H(x; 1 Gamma )G(x Gamma a) F(x) 12) Choosing a good starting point for the homotopy method is essential to assure fast convergence of the algorithm. In circuit terms, a good starting point may be a solution 9 to a linear circuit or to a nonlinear circuit that has a unique solution. ....

....homotopy embedding (9) has when applied to nodal equations. Modified nodal equations with embeddings that cause presence of nonphysical circuit elements (e.g. occurrence of negative resistors) can sometimes pose numerical difficulties and will have worse performance than the nodal equations [16]. For such equations the embedding of a parameter should be done in a manner that avoids nonphysical network instances. An important issue in using homotopies to find dc operating points is the type of nonlinear functions that characterize nonlinear circuit elements. Most homotopy algorithms ....

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Lj. Trajkovi'c and W. Mathis, "Parameter embedding methods for finding dc operating points: formulation and implementation," Proc. NOLTA '95, Las Vegas, NV, Dec. 1995, pp. 1159--1164.


Parameter Embedding Methods for Finding DC Operating Points: .. - Trajkovic, Mathis   Self-citation (Mathis Trajkovi'c)   (Correct)

.... of dc operating points of nonlinear circuits by means of parameter embedding methods (also known as continuation and homotopy methods) One of the first implementations of continuation methods in an industrial circuit simulator was by Cermak in 1971 [1] Other implementations followed [2] [7]. Continuation and homotopy methods have been rediscovered several times in circuit theory (see [5] and [8] for extensive reference lists) Nevertheless, information about implementations of homotopy methods in industrial circuit simulators is not readily available in the literature with the ....

.... and homotopy methods have been rediscovered several times in circuit theory (see [5] and [8] for extensive reference lists) Nevertheless, information about implementations of homotopy methods in industrial circuit simulators is not readily available in the literature with the exception of [3] [7]. In [5] the authors describe an implementation that is suitable for bipolar transistor circuits based on the Gummel Poon bipolar transistor model [9] with an embedded continuation parameter. 1 Part of this work was presented at the NDES 95 Workshop, Dublin, Ireland, July 1995. In [6] the ....

W. Mathis, Lj. Trajkovi'c, M. Koch, and U. Feldmann, "Parameter embedding methods for finding dc operating points of transistor circuits," Proc. NDES '95, Dublin, Ireland, July 1995, pp. 147--150.


Parameter Embedding Methods for Finding DC Operating Points: .. - Trajkovic, Mathis   Self-citation (Mathis Trajkovi'c)   (Correct)

.... of dc operating points of nonlinear circuits by means of parameter embedding methods (also known as continuation and homotopy methods) One of the first implementations of continuation methods in an industrial circuit simulator was by Cermak in 1971 [1] Other implementations followed [2] [7]. Continuation and homotopy methods have been rediscovered several times in circuit theory (see [5] and [8] for extensive reference lists) Nevertheless, information about implementations of homotopy methods in industrial circuit simulators is not readily available in the literature with the ....

.... and homotopy methods have been rediscovered several times in circuit theory (see [5] and [8] for extensive reference lists) Nevertheless, information about implementations of homotopy methods in industrial circuit simulators is not readily available in the literature with the exception of [3] [7]. In [5] the authors describe an implementation that is suitable for bipolar transistor circuits based on the Gummel Poon bipolar transistor model [9] with an embedded continuation parameter. 1 Part of this work was presented at the NDES 95 Workshop, Dublin, Ireland, July 1995. In [6] the ....

W. Mathis, Lj. Trajkovi'c, M. Koch, and U. Feldmann, "Parameter embedding methods for finding dc operating points of transistor circuits," Proc. NDES '95, Dublin, Ireland, July 1995, pp. 147--150.


Homotopy Methods for DC Operating Point and Periodic.. - Eula Fung Department (1998)   (1 citation)  (Correct)

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W. Mathis, Lj. Trajkovi'c, M. Koch, and U. Feldmann. "Parameter embedding methods for finding DC operating points of transistor circuits," Proc. NDES '95, Dublin, Ireland, pp. 147-50, July 1995.

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