Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Two techniques for general circuit simulation, an intelligent, partial Gauss-Seidel scheme (PGS) and a preconditioned conjugate-gradient scheme (PLUCGS), are described. Both techniques are robust and accurate for bipolar and MOS analog and digital circuits. PGS is a novel combination of direct solution, using LU factorization, and iterative solution, using Gauss-Seidel relaxation. The method converges faster and more reliably than Gauss-Seidel, while taking a comparable amount of execution time per iteration. Solution speeds up to 6 times faster than direct methods have been demonstrated and higher grains are anticipated for larger circuits. The second method, PLUCGS, uses a partial LU factorization as a preconditioner; a vectorized implementation on a CONVEX C-240 computer is 5-7 times faster than the direct solution method with only one-fourth the memory requirements. >
['Richard Burch', 'Kartikeya Mayaram', 'Jue-Hsien Chern', 'Ping Yang', 'Paul F. Cox']
I am writing a research paper on a idea PGS and PLUCGS-two new matrix solution techniques for general circuit simulation
[{"from": "human", "value": "I am writing a research paper on a idea PGS and PLUCGS-two new matrix solution techniques for general circuit simulation"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Two techniques for general circuit simulation, an intelligent, partial Gauss-Seidel scheme (PGS) and a preconditioned conjugate-gradient scheme (PLUCGS), are described. Both techniques are robust and accurate for bipolar and MOS analog and digital circuits. PGS is a novel combination of direct solution, using LU factorization, and iterative solution, using Gauss-Seidel relaxation. The method converges faster and more reliably than Gauss-Seidel, while taking a comparable amount of execution time per iteration. Solution speeds up to 6 times faster than direct methods have been demonstrated and higher grains are anticipated for larger circuits. The second method, PLUCGS, uses a partial LU factorization as a preconditioner; a vectorized implementation on a CONVEX C-240 computer is 5-7 times faster than the direct solution method with only one-fourth the memory requirements. >"}]