5.1. THE LINEAR CONJUGATE GRADIENT METHOD 10 set of nonzero vectors {Po, P1, ..., Pi} is said to be conjugate with respect to the symmetric positive definite matrix A if pl Ap; = 0, for all i j. (5.5) It is easy to show that any set of vectors satisfying this property is also linearly independent.
5.1. THE LINEAR CONJUGATE GRADIENT METHOD 10 set of nonzero vectors {Po, P1, ..., Pi} is said to be conjugate with respect to the symmetric positive definite matrix A if pl Ap; = 0, for all i j. (5.5) It is easy to show that any set of vectors satisfying this property is also linearly independent.
5.1. THE LINEAR CONJUGATE GRADIENT METHOD 10 set of nonzero vectors {Po, P1, ..., Pi} is said to be conjugate with respect to the symmetric positive definite matrix A if pl Ap; = 0, for all i j. (5.5) It is easy to show that any set of vectors satisfying this property is also linearly independent.
that any set of vectors satisfying this property (highlighted) is also linearly independent
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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