The storage requirement of n byn matrices with special structures are given in the table below. n by n matrix Storage requirement n2 n(n + 1)/2 z n² /2 n(n + 1)/2 z n²/2 No special structure Symmetric Upper/lower triangular Tridiagonal Зп — 2 ~ Зп 2n – 1= 2n |Тоeplitz Sparse with k nonzero elements - 3k Estimate the size n 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 = 280 bytes. 3.28E4 4.63E4 5.37E8 3.58E8
The storage requirement of n byn matrices with special structures are given in the table below. n by n matrix Storage requirement n2 n(n + 1)/2 z n² /2 n(n + 1)/2 z n²/2 No special structure Symmetric Upper/lower triangular Tridiagonal Зп — 2 ~ Зп 2n – 1= 2n |Тоeplitz Sparse with k nonzero elements - 3k Estimate the size n 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 = 280 bytes. 3.28E4 4.63E4 5.37E8 3.58E8
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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8d16c2ff-5b55-498c-8fc8-2bcd55027f28%2Fe1095c27-b881-4a6d-b323-1a863fd7a1c6%2Fobpp15g_processed.png&w=3840&q=75)
Transcribed Image Text: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
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