Conjugate vector

1. How do you find the conjugate vector?
2. What does it mean for two vectors to be conjugate?
3. What is a conjugate example?
4. What is the conjugate formula?

How do you find the conjugate vector?

Let u,v be vectors in Rn and let A be a positive definite n×n matrix. u and v are said to be mutually A-conjugate if and only if uTAv=0 ¹.

What does it mean for two vectors to be conjugate?

In order not to interfere with our u minimization we require that the gradient remain perpendicular to u, ie that the change in gradient itself be perpendicular to u. This is simply. Two vectors, u, v, having this property are said to be conjugate. A set of vectors for which this holds for all pairs is a conjugate set.

What is a conjugate example?

What is a conjugate in maths? In maths, Conjugates are defined as a pair of binomials with identical terms but parting opposite arithmetic operators in the middle of these similar terms. For example, p – q is the conjugate of p + q.

What is the conjugate formula?

A math conjugate is formed by changing the sign between two terms in a binomial. For instance, the conjugate of x + y is x - y. We can also say that x + y is a conjugate of x - y. In other words, the two binomials are conjugates of each other.