Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Roy Mathias"'
Autor:
Roy Mathias, Chi-Kwong Li
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 28:301-305
Let $W(T)$ and $r(T)$ denote the numerical range and numerical radius of an $n \times n$ complex matrix $T$. Let $H_n^2$ denote the space of pairs of $n \times n$ Hermitian matrices. Define a norm on $H_n^2$ by $\|(X, Y)\| = r(X + iY)$. Take $(A,B) \
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8aaffe0c661c4bbca2cecdf50c06bcd4
https://doi.org/10.1137/040616346
https://doi.org/10.1137/040616346
Publikováno v:
Bulletin of Mathematical Biology. 67:393-432
Although there is consensus that localized Ca2+ elevations known as Ca2+ puffs and sparks arise from the cooperative activity of intracellular Ca2+ channels, the precise relationship between single-channel kinetics and the collective phenomena of sto
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5593bf3f5ee78516323001455b82f928
https://doi.org/10.1016/j.bulm.2004.08.010
https://doi.org/10.1016/j.bulm.2004.08.010
Autor:
Roy Mathias, Chi-Kwong Li
Publikováno v:
Mathematical Inequalities & Applications. :215-222
We bound the norm of the sum of block diagonal matrices whose block structures may not be compatible, and use the result to bound the norm of banded positive semidefinite matrices. We consider the extension of the result to other norms. Mathematics s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d515d99ba3c7b69d7bd63c11b46f7ad
https://doi.org/10.7153/mia-06-20
https://doi.org/10.7153/mia-06-20
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 23:929-947
This paper presents a small-bulge multishift variation of the multishift QR algorithm that avoids the phenomenon of shift blurring, which retards convergence and limits the number of simultaneous shifts. It replaces the large diagonal bulge in the mu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::acdd18f47b8c7e502edfacd93845d98d
https://doi.org/10.1137/s0895479801384573
https://doi.org/10.1137/s0895479801384573
Autor:
Chi-Kwong Li, Roy Mathias
Publikováno v:
Linear Algebra and its Applications. 341:35-44
Suppose λ1⩾⋯⩾λn⩾0 are the eigenvalues of an n×n totally nonnegative matrix, and λ̃1⩾⋯⩾λ̃k are the eigenvalues of a k×k principal submatrix. A short proof is given of the interlacing inequalities:λi⩾λ̃i⩾λi+n−k,i=1,…,k
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d1cc31ec0c8faf98e2ae10185a32b34
https://doi.org/10.1016/s0024-3795(01)00240-3
https://doi.org/10.1016/s0024-3795(01)00240-3
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 23:948-973
Aggressive early deflation is a QR algorithm deflation strategy that takes advantage of matrix perturbations outside of the subdiagonal entries of the Hessenberg QR iterate. It identifies and deflates converged eigenvalues long before the classic sma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bf84ff76088581de144384961c22ad66
https://doi.org/10.1137/s0895479801384585
https://doi.org/10.1137/s0895479801384585
Autor:
Chi-Kwong Li, Roy Mathias
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 24:126-131
We prove inequalities on singular values for 2 × 2 block triangular matrices. Using the results, we answer the three questions of Ando on Bloomfield--Watson-type inequalities on eigenvalues and generalize the Kantorovich inequality.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6b4f9b15c3aeeb7494eaeda699b47e47
https://doi.org/10.1137/s0895479801398517
https://doi.org/10.1137/s0895479801398517
Autor:
Roy Mathias, Chi-Kwong Li
Publikováno v:
Bit Numerical Mathematics. 41:115-126
Two issues concerning the construction of square matrices with prescribe singular values an eigenvalues are addressed. First, a necessary and sufficient condition for the existence of an n × n complex matrix with n given nonnegative numbers as singu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ea2f306085d3022a56780b3ecd55c88a
https://doi.org/10.1023/a:1021969818438
https://doi.org/10.1023/a:1021969818438
Autor:
Chi-Kwong Li, Roy Mathias
Publikováno v:
SIAM Review. 42:233-246
Let \[ H=\pmatrix{H_{11}&H_{12}\cr H_{12}^*&H_{22}} \] be an $n\times n$ positive semidefinite matrix, where $H_{11}$ is $k\times k$ with $1 \le k < n$. The {\it generalized Schur complement} of $H_{11}$ in $H$ is defined as $$ S(H) = H_{22} - H_{12}
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::87504cbdb8694bdb8cadbc10564fcca3
https://doi.org/10.1137/s0036144599337290
https://doi.org/10.1137/s0036144599337290
Autor:
Chi-Kwong Li, Roy Mathias
Publikováno v:
Numerische Mathematik. 81:377-413
We use a simple matrix splitting technique to give an elementary new proof of the Lidskii-Mirsky-Wielandt Theorem and to obtain a multiplicative analog of the Lidskii-Mirsky-Wielandt Theorem, which we argue is the fundamental bound in the study of re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a33edbd0ef6227ed045841f2c59f2dd6
https://doi.org/10.1007/s002110050397
https://doi.org/10.1007/s002110050397