User Suvrit

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How has modern algebraic geometry affected other areas of math?

answered Oct 5, 2011 at 14:58

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0 eigenvalue for a symmetric tridiagonal matrix

answered Feb 25, 2012 at 17:13

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Anti-bidiagonal matrix with main anti-diagonal {1,2,3,...} and first sub-anti-diagonal {-1,-2,-3,...} has eigenvalues lambda={1,-2,3,-4,...}

answered Oct 27, 2014 at 21:24

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How to prove that a kernel is positive definite?

answered Nov 14, 2014 at 22:46

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Solving $\text{trace}\left[\left(I + pY\right)^{-1} \left(I - p^{2}Y\right)\right] = 0$ for scalar $p$

answered Jan 18, 2017 at 3:39

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Sum of the absolute eigenvalues of A>=B

answered Dec 5, 2015 at 18:07

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Proof of complete monotonicity of a binomial function

answered Sep 1, 2017 at 1:13

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Concavity of the trace of a matrix power

answered Jun 11, 2017 at 13:04

9 votes

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Norm estimation of identity plus two non-commuting self-adjoint operators

answered Aug 17, 2017 at 14:38

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Bounding the matrix norm of a commutator $[A,B]$ in terms of the norms of $A$ and $B$

answered Jan 6, 2017 at 3:24

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Matrix-convexity of inverse of the cofactor matrix

answered Feb 14, 2015 at 20:31

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Bounding the trace of a matrix product by the operator norms; generalized Hölder inequality?

answered Oct 22, 2011 at 20:10

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Diagonalizing a Certain Real and Symmetric Toeplitz Matrix

answered Jun 22, 2011 at 2:50

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What does log convexity mean?

answered Jan 4, 2011 at 9:16

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Is this a metric on the Grassmannian Manifold?

answered Sep 7, 2013 at 17:28

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AI / Machine Learning related to high/modern/front mathematics

answered Jul 22, 2014 at 16:46

8 votes

Moments of the trace of orthogonal matrices

answered Sep 4, 2014 at 21:38

8 votes

Understanding Gibbs's inequality

answered Feb 25, 2013 at 18:26

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Singular values of sequence of growing matrices

answered Dec 29, 2012 at 17:44

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Characterizing convex polynomials

answered Sep 22, 2012 at 20:01

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Subadditivity for Renyi entropies

answered Dec 20, 2012 at 21:08

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How to characterize real square matrices A, such that v'Av >= 0, for all real vectors v with 1'v=0 (1 is the vector of all ones)?

answered Nov 4, 2010 at 8:28

8 votes

Minimize trace of inverse of convex combination of matrices.

answered Jun 21, 2011 at 2:50

8 votes

The cone of positive semidefinite matrices is self-dual? (reference needed)

answered May 27, 2011 at 20:07

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Norms of commutators

answered Jan 1, 2011 at 18:01

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the complexity of Lanczos method

answered Sep 14, 2011 at 9:42

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Shapiro inequality for $n=23$

answered Jul 25, 2012 at 21:24

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Hadamard Product and Eigendecomposition

answered May 28, 2015 at 13:06

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"Additive version" of Kronecker product

answered Sep 28, 2015 at 14:23

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Determinant of arbitrary sum of positive semidefinite hermitian matrices

answered Oct 25, 2016 at 16:20

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407 Answers

How has modern algebraic geometry affected other areas of math?

0 eigenvalue for a symmetric tridiagonal matrix

Anti-bidiagonal matrix with main anti-diagonal {1,2,3,...} and first sub-anti-diagonal {-1,-2,-3,...} has eigenvalues lambda={1,-2,3,-4,...}

How to prove that a kernel is positive definite?

Solving $\text{trace}\left[\left(I + pY\right)^{-1} \left(I - p^{2}Y\right)\right] = 0$ for scalar $p$

Sum of the absolute eigenvalues of A>=B

Proof of complete monotonicity of a binomial function

Concavity of the trace of a matrix power

Norm estimation of identity plus two non-commuting self-adjoint operators

Bounding the matrix norm of a commutator $[A,B]$ in terms of the norms of $A$ and $B$

Matrix-convexity of inverse of the cofactor matrix

Bounding the trace of a matrix product by the operator norms; generalized Hölder inequality?

Diagonalizing a Certain Real and Symmetric Toeplitz Matrix

What does log convexity mean?

Is this a metric on the Grassmannian Manifold?

AI / Machine Learning related to high/modern/front mathematics

Moments of the trace of orthogonal matrices

Understanding Gibbs's inequality

Singular values of sequence of growing matrices

Characterizing convex polynomials

Subadditivity for Renyi entropies

How to characterize real square matrices A, such that v'Av >= 0, for all real vectors v with 1'v=0 (1 is the vector of all ones)?

Minimize trace of inverse of convex combination of matrices.

The cone of positive semidefinite matrices is self-dual? (reference needed)

Norms of commutators

the complexity of Lanczos method

Shapiro inequality for $n=23$

Hadamard Product and Eigendecomposition

"Additive version" of Kronecker product

Determinant of arbitrary sum of positive semidefinite hermitian matrices