Title :
Fast direct solution of high-order MoM accelerated by local ACA
Author :
Ma, Lianfeng ; Nie, Zaiping ; Hu, Jun ; He, Shiquan
Author_Institution :
Sch. of Electron. Eng., Univ. of Electron. Sci. & Technol. of China, Chengdu, China
Abstract :
In this paper, the local adaptive cross approximation based on the compressed LDLT factorization is proposed to directly solve the matrix equation obtained by high-order hierarchical MoM. By means of the local ACA algorithm, high accurate result with much higher compressed rate can be achieved. Because of using the hierarchical high-order basis functions (BFs), the number of the unknowns is rapidly reduced. We extensively investigate the compressed LDLT factorization on the use of Local ACA algorithm, and provide remedial procedures to improve the efficiency of the implementations.
Keywords :
approximation theory; electromagnetic wave scattering; matrix algebra; method of moments; LDLT factorization; hierarchical high-order basis functions; high-order hierarchical MoM; local ACA; local adaptive cross approximation; matrix equation; Acceleration; Electromagnetic scattering; Gaussian processes; Helium; Integral equations; Iterative methods; Matrix decomposition; Moment methods; Partial response channels; Symmetric matrices; block LDLT factorization; high-order hierarchical basis; local adaptive cross approximation; low-rank approximation;
Conference_Titel :
Microwave Conference, 2009. APMC 2009. Asia Pacific
Conference_Location :
Singapore
Print_ISBN :
978-1-4244-2801-4
Electronic_ISBN :
978-1-4244-2802-1
DOI :
10.1109/APMC.2009.5385327
