subject
Engineering, 05.05.2020 08:50 20jhutchinson

The conventional way of multiplying two n-by-n matrices requires O(n3) time. There are much better ways of multiplying large matrices, bascd on a dividc-and-conquer approach. For example, Strassen's algorithm breaks cach n-by-n matrix into four submatrices of sizc n/2- by-n/2 each, and computes the result by performing 7 recursive multiplications on n/2-by-n/2 matrices plus a constant number of additions of n/2-by-n/2 matrices. Since addition of n-by-n matrices only requires O(n2) time, you get a recurrence for the running time of T(n) = 7T(n/2) + cn2 for some constant c (which, asymptotically, doesn't matter). Hypothetically, we can beat Strassen's approach if we can break our two n-by-n matrices into y2 submatrices of size n/y-by-n/y cach, and perform the multiplication of n-by-n matrices by using x recursive multiplications of n/y-by-n/y matrices plus any constant number of additions of n/y-by-n/y matrices. What is the relationship between x and y that would make this hypothetical algorithm have a lower running time than Strassen's algorithm? Identify one such pair below. Note, because the exact calculation requires the computation of logarithms, you may wish to find and use a scientific calculator of some sort. x=344: y-8. x=153; y=6.none of above

ansver
Answers: 3

Another question on Engineering

question
Engineering, 03.07.2019 19:30
When using the ohmmeter function of a digital multimeter, the leads are placed in what position relative to the component being tested? a. parallel b. control c. series d. line
Answers: 3
question
Engineering, 04.07.2019 18:10
The higher the astm grain size number, the finer the gran is. a)-true b)-false
Answers: 2
question
Engineering, 04.07.2019 19:20
Apreheater involves the use of condensing steam at 100°c on the inside of a bank of tubes to heat air that enters at 1 atm and 25°c. the air moves at 5 m/s in cross flow over the tubes. each tube is 1 m long and has an outside diameter of 10 mm. what is the minimum value of nl needed to achieve an outlet temperature of t 75 c? what is the corresponding pressure drop across the tube bank?
Answers: 3
question
Engineering, 06.07.2019 03:20
Major ingredients of traditional ceramics (a) silica (b) clay (c) feldspar (d) all
Answers: 1
You know the right answer?
The conventional way of multiplying two n-by-n matrices requires O(n3) time. There are much better w...
Questions
question
Mathematics, 03.09.2021 20:50
question
Biology, 03.09.2021 20:50
question
Spanish, 03.09.2021 20:50
question
History, 03.09.2021 20:50
question
Mathematics, 03.09.2021 20:50
question
History, 03.09.2021 20:50
Questions on the website: 13722367