Error bound for reduced system model by Pade approximation via the Lanczos process

被引：50
作者：
Bai, ZJ [1 ]
Slone, RD
Smith, WT
机构：
[1] Univ Kentucky, Dept Math, Lexington, KY 40506 USA
[2] Univ Kentucky, Dept Elect Engn, Lexington, KY 40506 USA
[3] Univ Manitoba, Dept Appl Math, Winnipeg, MB R3T 2N2, Canada
来源：
IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS | 1999年 / 18卷 / 02期
基金：
美国国家科学基金会;
关键词：
asymptotic waveform evaluation (AWE); Lanczos; Pade; Pade via Lanczos (PVL); Pade via Lanczos with error bound (PVL-WEB);
D O I：
10.1109/43.743719
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
Recently, there has been a great deal of interest in using the Pade Via Lanczos (PVL) technique to analyze the transfer functions and impulse responses of large-scale linear circuits. In this paper, a matrix-based derivation of the error between the original circuit transfer function and the reduced-order transfer function generated using the PVL technique is presented. This error measure may be used for the development of an automated termination of the Lanczos process in the PVL technique and achieve the desired accuracy of the approximate transfer function. PVL coupled with such an error bound will be referred to as the PVL-WEB algorithm.
引用
收藏
页码：133 / 141
页数：9
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