Applications of the Generalized Fourier Transform in Numerical Linear Algebra
نویسندگان
چکیده
منابع مشابه
On Applications of the Generalized Fourier Transform in Numerical Linear Algebra
Matrices equivariant under a group of permutation matrices are considered. Such matrices typically arise in numerical applications where the computational domain exhibits geometrical symmetries. In these cases, group representation theory provides a powerful tool for block diagonalizing the matrix via the Generalized Fourier Transform. This technique yields substantial computational savings in ...
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1 Istituto per le Applicazioni del Calcolo “M. Picone”, sede di Bari, Consiglio Nazionale delle Ricerche Via G. Amendola 122/D, I-70126 Bari, Italy 2Department of Computer Science, Stanford University, Gates Building 2B, Room 280, Stanford, CA 94305-9025, USA 3Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA 93106, USA 4Department of Electrical Engi...
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(1, 1) [Cao08, Krz11]. (2, 2) [Li00]. (m, k) [MN00]. (q) [Jia96]. + [LJM14]. 0.822 [Ano09]. 16 [KM09]. 2 [AM96, BV13, Mar94, NBKS99, QB15, ZV 14, vKVW00]. 2× 2 [AB10, AB13, Cao13, Kol05]. 3 [GKY97, LPW06, NBKS99, PM97, PR96, mMP99, vKVW00]. 4 [MR14]. A [CC07]. A− BX ±X ∗ B∗ [LT08]. A−XB [Den09]. α [Tre13]. AXA∗ = B [Tia13]. AXB + CYD = E [yPxP06, WTZD10]. AXB = C [fLyHZ11, Miy15]. H [Gra08, LOY...
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ژورنال
عنوان ژورنال: BIT Numerical Mathematics
سال: 2005
ISSN: 0006-3835,1572-9125
DOI: 10.1007/s10543-005-0030-3