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For a positive definite $n \times n$ matrix $A$ and a vector $x$ how to write the expression $Ax$ in terms of the eigenvalues of $A$

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#linear-algebra #positive-definite
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$\pi_1 $ of space of positive-definite matrices

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#linear-algebra #algebraic-topology #fundamental-groups #positive-definite
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Are conjugate vectors unique?

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#linear-algebra #vectors #positive-definite #symmetric-matrices
109
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Number of reduced binary quadratic form of determinant $d$ Is finite.

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#number-theory #quadratic-forms #positive-definite
69
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Relationship between the positive definite matrix and matrix with negative eigenvalues

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#linear-algebra #matrices #positive-definite #positive-semidefinite
638
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Does a real, non-symmetric, non-negative definite matrix have a unique non-negative definite square root?

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#linear-algebra #matrices #matrix-decomposition #positive-definite
70
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Find the right positive definite block matrix

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#linear-algebra #matrices #positive-definite #symmetric-matrices
431
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Positive semidefiniteness of block matrix when diagonal blocks are not invertible

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#matrices #positive-definite #positive-semidefinite #block-matrices #schur-complement
523
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Symmetric Positive Definite Matrix Plus Symmetric Matrix is again Positive Definite

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#linear-algebra #numerical-linear-algebra #positive-definite #symmetric-matrices
61
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Find out if $A^TA+I$ is a positive definite matrix.

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#linear-algebra #matrices #determinant #positive-definite
21
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Find the absolute minimum of a function of $n$ variables

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#calculus #inequality #maxima-minima #positive-definite
208
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Determinant and symmetric positive definite matrix

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#linear-algebra #matrices #linear-transformations #determinant #positive-definite
190
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Constrained quadratic form question with Hessian Matrix

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#quadratic-forms #positive-definite #constraints #hessian-matrix
35
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Inequality involving negative powers of positive definite matrices

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#linear-algebra #matrices #inequality #positive-definite
32
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Positive definiteness of bounded distribution

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#probability #expected-value #covariance #positive-definite

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