Combine complex conjugates first when computing the product of vector - MATLAB Cody - MATLAB Central

Problem 47003. Combine complex conjugates first when computing the product of vector

Difficulty:
(19)
Rate
Analytically, the product of complex conjugates yields a real result. When numerically computing the product of a vector containing large valued complex conjugates, care must be taken to ensure that the terms are first multiplied with their conjugate to ensure that the result is real.
For example:
v = [ -376565273.869706 + 0i
-3419197614.44981 + 1946408802.27484i
-3419197614.44981 - 1946408802.27484i
-3789372834.14304 + 4660481826.64665i
-3789372834.14304 - 4660481826.64665i
-4853975182.33591 + 6452212202.13479i
-4853975182.33591 - 6452212202.13479i];
prod(v) = -1.37103891526544e+67 + 2.24486651494027e+51i
Combine the vector's terms together in such a way that the product is real.
Solve

Solution Stats

20.45% Correct | 79.55% Incorrect
Last Solution submitted on Jul 14, 2023

Problem Comments

Solution Comments

Show comments
Registration Now Open for MathWorks AUTOMOTIVE CONFERENCE 2025
...
Hello Community, We're excited to announce that registration is now open for the...

Problem Recent Solvers9

Suggested Problems

More from this Author1

Problem Tags

numerical

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
Go to top of page