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When is the equicorrelation matrix positive-definite?

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#matrices #statistics #eigenvalues-eigenvectors #matrix-decomposition #positive-definite
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Showing that matrix $M=\left[\begin{array}{c|c} AA^t & 2b\\\hline 0^t & 1\end{array}\right]$ is positive-definite

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#linear-algebra #matrices #positive-definite
230
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Positive-Definite linear operator as an inner product

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#inner-products #positive-definite
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Positive-definite matrix for positiveness in Mahalanobis distance

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#positive-definite #positive-semidefinite #mahalanobis-distance
953
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Prove Gaussian elimination preserves positive definiteness

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#positive-definite #symmetric-matrices #gaussian-elimination
295
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Orthogonal decomposition of positive definite matrices

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#linear-algebra #matrices #matrix-decomposition #positive-definite #positive-semidefinite
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Generating a random tridiagonal symmetric positive definite matrix

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#matlab #positive-definite #random-matrices #symmetric-matrices #tridiagonal-matrices
30
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How to prove the following property of the matrices?

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#linear-algebra #matrices #positive-definite
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Positive definite and block matrix

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#matrices #positive-definite
260
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If square matrix $\mathbf{A} \succ 0$, then how to prove Fischer's and Hadamard's inequalities?

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#linear-algebra #positive-definite
580
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The relationship between positive operators and positive matrices and forms

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#linear-algebra #positive-definite
434
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Decompose a symmetric matrix

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#linear-algebra #numerical-linear-algebra #positive-definite #symmetric-matrices
169
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If the square matrix A is positive definite, and I is the conformable identity matrix, then I − A is also positive definite.

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#matrices #numerical-linear-algebra #positive-definite
271
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Obtaining a positive definite covariance matrix of order statistics

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#integration #numerical-methods #random-variables #positive-definite #order-statistics
205
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Critetion for positive definiteness of a continuous kernel

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#positive-definite #positive-semidefinite

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