Title
Generating stable and sparse reluctance/inductance matrix under insufficient conditions
Abstract
This paper presents generating stable and sparse reluctance/inductance matrix from the inductance matrix which is extracted under insufficient discretization. So far, to generate the sparse reluctance matrix with guaranteed stability, this matrix has to be diagonally dominant M matrix. Hence, the repeated inductance extractions are necessary using a smaller grid size, in order to obtain the well-defined matrix. Alternatively, this paper provides some ideas for generating the sparse reluctance matrix, even if the extracted reluctance matrix is not diagonally dominant M matrix, precisely, the positive off-diagonal elements are even found. This eases the extraction tasks greatly. Furthermore, the sparse inductance matrix is also generated by using the practical and sophisticated double inverse methods, which is useful for the SPICE simulation, since reluctance components are not still supported in SPICE-like simulators.
Year
DOI
Venue
2008
10.1109/ASPDAC.2008.4483932
ASP-DAC
Keywords
Field
DocType
SPICE,VLSI,sparse matrices,M matrix,SPICE simulation,extracted reluctance matrix,inductance extractions,insufficient conditions,off diagonal elements,sophisticated double inverse,sparse inductance matrix,sparse reluctance matrix
Discretization,Inductance,M-matrix,Magnetic reluctance,Spice,Computer science,Matrix (mathematics),Diagonally dominant matrix,Electronic engineering,Sparse matrix
Conference
ISSN
ISBN
Citations 
2153-6961
978-1-4244-1922-7
0
PageRank 
References 
Authors
0.34
7
3
Name
Order
Citations
PageRank
yuichi tanji13212.18
Takayuki Watanabe2126.82
Asai, H.331.62