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Are there any positive definite adjacency matrices?

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#graph-theory #positive-definite #spectral-graph-theory
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Calculating a matrix-vector product efficiently without inverse operation

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#matrices #partial-differential-equations #inverse #matlab #positive-definite
77
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Inverse Problem for positive definite matrices

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#linear-algebra #matrices #inner-products #positive-definite #inverse-problems
69
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Why does this inequality with quadratic forms hold?

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#matrices #inequality #quadratic-forms #positive-definite
1k
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Can the derivative of the matrix absolute value explode when we approach singular matrices?

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#matrix-calculus #matrix-decomposition #positive-definite #svd #orthogonal-matrices
132
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An inequality involving two P.D. matrices

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#linear-algebra #matrices #inequality #determinant #positive-definite
49
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Inner product that makes vectors an orthonormal basis

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#linear-algebra #matrices #inner-products #orthonormal #positive-definite
101
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Given the Cholesky decomposition of $A$, compute efficiently Cholesky decomposition of $RAR^T$?

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#matrices #matrix-decomposition #positive-definite #lu-decomposition
47
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Is this simple symmetric matrix positive semi-definite?

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#linear-algebra #matrices #eigenvalues-eigenvectors #positive-definite
166
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Given an SPD matrix, any diagonal submatrix of full rank must be SPD.

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#matrices #eigenvalues-eigenvectors #determinant #positive-definite #symmetric-matrices
70
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Elements of positive definite matrix

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#matrices #positive-definite #schur-complement
794
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What are the ways to determine whether quadratic form is positive definite?

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#linear-algebra #eigenvalues-eigenvectors #quadratic-forms #positive-definite #positive-semidefinite
1.5k
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Completing the square to find if quadratic form is positive definite.

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#polynomials #quadratic-forms #positive-definite #positive-semidefinite
467
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Making a matrix positive definite

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#linear-algebra #matrices #optimization #positive-definite #symmetric-matrices
50
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Significance of transposition when determining positive definiteness

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#matrices #eigenvalues-eigenvectors #positive-definite

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