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Exact(13)
Then for every and for every, the matrices, are positive semi-definite matrices.
An additional improvement guarantees that the experimental substructure matrices are positive definite, a requirement for many finite element codes.
Clearly, the Schur complements of positive semidefinite matrices are positive semidefinite, the same is true for M-matrices, H-matrices and inverse M-matrices (see [4, 5]).
We show that, assuming that two of its defining matrices are positive definite, this symmetric CQEiCP reduces to the computation of a stationary point of an appropriate merit function on a convex set.
We employ S-procedure and partition-dependent slack variables to reduce design conservatism, which is presented in two parts: with or without the assumption that the Lyapunov matrices are positive definite.
Provided the real parts of the eigenvalues of persistently excited control matrices are positive, the proposed multichannel array is able to counterbalance cross-channel interferences, while attaining demanding control targets.
Similar(47)
Since both sample and statistical covariance matrices are positive-semidefinite and thus all of their eigenvalues are ≥0, the test statistic Γ MME x,N) is always ≥1. Additive white Gaussian noise (AWGN) is a standard assumption in wireless communications research and for many problems in the field, it is a reasonable one.
ASReml was run with an option to check whether the variance-covariance matrices were positive definite and were forced to be positive definite [ 34] if they were not.
a In semidefinite programming, one minimizes a linear function subject to the constraint that an affine combination of symmetric matrices is positive semidefinite.
Note that all the elements of this matrix are positive.
Notice that the elements of the leading diagonal of the consistent mass matrix are positive.
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CEO of Professional Science Editing for Scientists @ prosciediting.com