The storage requirement of n by n matrices with special structures are given in the table below. n by n matrix No special structure Symmetric Storage requirement n² n(n + 1)/2 z n² /2 n(n + 1)/2 z n²/2 Зп — 2 ~ Зп Upper/lower triangular Tridiagonal Toeplitz 2n – 12 2n Sparse with k nonzero elements 3k Estimate the sizen of the largest n by n symmetric matrix that can be stored in 8 Gb RAM using double precision floating point arithmetic. Assume that 1 Gb = 230 bytes. 3.28E4 4.63E4 5.37E8 3.58E8
The storage requirement of n by n matrices with special structures are given in the table below. n by n matrix No special structure Symmetric Storage requirement n² n(n + 1)/2 z n² /2 n(n + 1)/2 z n²/2 Зп — 2 ~ Зп Upper/lower triangular Tridiagonal Toeplitz 2n – 12 2n Sparse with k nonzero elements 3k Estimate the sizen of the largest n by n symmetric matrix that can be stored in 8 Gb RAM using double precision floating point arithmetic. Assume that 1 Gb = 230 bytes. 3.28E4 4.63E4 5.37E8 3.58E8
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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