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Vito Tafuni

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03 Feb 2010 Gram-Schmidt Gram-Schmidt algorithm to orthonormalize a set of vectors. Author: Vito Tafuni gramschmidt, mathematics, orthonormalization, orthogonalization 4 2
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03 Feb 2010 Gram-Schmidt Gram-Schmidt algorithm to orthonormalize a set of vectors. Author: Vito Tafuni

I think QR performs better on square matrices:

A=rand(500,500);
t=time;[Q,R]=qr(A);time-t
ans = 0.18440
t=time;O=grsm(A);time-t
ans = 0.60662

A=rand(500,10);
t=time;[Q,R]=qr(A);time-t
ans = 0.020872
t=time;O=grsm(A);time-t
ans = 0.0041921

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03 Feb 2010 Gram-Schmidt Gram-Schmidt algorithm to orthonormalize a set of vectors. Author: Vito Tafuni Tafuni, Vito

I think QR performs better on square matrices:

A=rand(500,500);
t=time;[Q,R]=qr(A);time-t
ans = 0.18440
t=time;O=grsm(A);time-t
ans = 0.60662

A=rand(500,10);
t=time;[Q,R]=qr(A);time-t
ans = 0.020872
t=time;O=grsm(A);time-t
ans = 0.0041921

03 Feb 2010 Gram-Schmidt Gram-Schmidt algorithm to orthonormalize a set of vectors. Author: Vito Tafuni Chen, Mo

why not use QR
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gramschmidt, mathematics, orthogonalization, orthonormalization
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03 Feb 2010 Gram-Schmidt Gram-Schmidt algorithm to orthonormalize a set of vectors. Author: Vito Tafuni gramschmidt, mathematics, orthonormalization, orthogonalization 4 2

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