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math6601_projects/project1/Project1_A2.txt
2025-09-26 22:16:05 -04:00

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Table of Orthogonality Loss and Time for n=4, 9, 11:
n Method Loss Time (s)
4 Classical Gram-Schmidt -10.31105413525148 4.2772293090820314e-05
4 Modified Gram-Schmidt -12.374458030887125 5.888938903808594e-05
4 Householder -15.351739155108316 0.00014197826385498047
4 Classical Gram-Schmidt Twice -15.570756316229907 8.988380432128906e-05
9 Classical Gram-Schmidt 0.3894252720607535 0.00028896331787109375
9 Modified Gram-Schmidt -5.257678985289507 0.00034956932067871095
9 Householder -14.715202433670639 0.0006194353103637695
9 Classical Gram-Schmidt Twice -8.398044187428138 0.0006073951721191406
11 Classical Gram-Schmidt 0.6094906217544358 0.0005226373672485351
11 Modified Gram-Schmidt -2.0059498550218353 0.0005770444869995118
11 Householder -14.69705544935381 0.0008681297302246093
11 Classical Gram-Schmidt Twice -1.7450868860162283 0.0010661602020263672