blockdiagonalmatrixpositivedefinite

由RAHorn著作·1992·被引用57次—becomespositivedefinitewheneachblockiscompressedtoasingleentry.Theotherfactorhaspositivedefinitemaindiagonalblocks.Thissituationwas ...,2013年10月2日—PositivedefinitematriceswithHermitianblocks(notnecessarilypsdasintheOP),ariseinquantuminformationtheoryandrelatedareas.,...blockdiagonalmatrix,whichispositivedefinitewhenitsdiagonalblocksarepostivedefinite.Therefore,C...

Block

由 RA Horn 著作 · 1992 · 被引用 57 次 — becomes positive definite when each block is compressed to a single entry. The other factor has positive definite main diagonal blocks. This situation was ...

Bounding the positive semi

2013年10月2日 — Positive definite matrices with Hermitian blocks (not necessarily psd as in the OP), arise in quantum information theory and related areas.

Course Notes

... block diagonal matrix, which is positive definite when its diagonal blocks are postive definite. Therefore, C is positive definite if and only if both A and ...

pdBlocked: Positive

This function is a constructor for the pdBlocked class, representing a positive-definite block-diagonal matrix. Each block-diagonal element of the underlying ...

Positive definite and block matrix

2018年4月27日 — Check if a large matrix containing positive definite block diagonal matrices is positive definite. 0 · Block symmetric matrix · 1 · determinant ...

Positive

2012年11月26日 — EDIT: A matrix is positive definite if it has positive eigenvalues. You already know that B, C, and D ...

R: Positive

This function is a constructor for the pdBlocked class, representing a positive-definite block-diagonal matrix. Each block-diagonal element of the underlying ...

The Schur Complement and Symmetric Positive ...

由 J Gallier 著作 · 2019 · 被引用 139 次 — But, a block diagonal matrix is positive definite iff each diagonal block is positive definite, which concludes the proof. (2) This is because ...

[2307.02034] Diagonal and off

由 JC Bourin 著作 · 2023 — We establish a sharp inequality between the blocks of positive partitioned matrices and conjecture a triangle type inequality for contractions: ...