MATH 645 UNH Vectors Dot Products & Schwarz Inequality Exercises Exam Practice

Question Description

10 problems A band matrix is a square matrix with nonzero entries only on the main diagonal andon w of the diagonals above and below the main diagonal, and zeros everywhere else. The matrix Bbelow is an example of a 5×5 symmetric band matrix with w = 1. Elimination for band matrices ismuch cheaper than elimination for ordinary matrices. For a generic n × n band matrix B with exactlyw nonzero bands above and below the main diagonal, approximately how many multiplication andsubtraction operations are necessary for elimination B ? U?

?1 2 0 0 0?????

?2 1 2 0 0???

B=? ??0 2 1 2 0?

????

?0 0 2 1 2???

?0 0 0 2 1?

^{"Place your order now for a similar assignment and have exceptional work written by our team of experts, guaranteeing you "A" results."}