Holbrook, John; Mudalige, Nishan; Newman, Mike; Pereira, Rajesh Bounds on polygons of higher rank numerical ranges. (English) Zbl 1312.15026 Linear Algebra Appl. 474, 230-242 (2015). MSC: 15A60 47A12 PDFBibTeX XMLCite \textit{J. Holbrook} et al., Linear Algebra Appl. 474, 230--242 (2015; Zbl 1312.15026) Full Text: DOI
Crouzeix, Michel; Gilfeather, Frank; Holbrook, John Polynomial bounds for small matrices. (English) Zbl 1307.46044 Linear Multilinear Algebra 62, No. 5, 614-625 (2014). MSC: 46L07 47L25 15A60 PDFBibTeX XMLCite \textit{M. Crouzeix} et al., Linear Multilinear Algebra 62, No. 5, 614--625 (2014; Zbl 1307.46044) Full Text: DOI
Holbrook, John; Mudalige, Nishan; Pereira, Rajesh Normal matrix compressions. (English) Zbl 1298.47017 Oper. Matrices 7, No. 4, 849-864 (2013). Reviewer: Ilya Spitkovsky (Williamsburg) MSC: 47A20 15B57 15A60 47A12 PDFBibTeX XMLCite \textit{J. Holbrook} et al., Oper. Matrices 7, No. 4, 849--864 (2013; Zbl 1298.47017) Full Text: DOI arXiv Link
Holbrook, John No dice: a deterministic approach to the Cartan centroid. (English) Zbl 1325.47039 J. Ramanujan Math. Soc. 27, No. 4, 509-521 (2012). Reviewer: Omar Hirzallah (Zarqa) MSC: 47A64 15B48 53C20 15A45 15A60 PDFBibTeX XMLCite \textit{J. Holbrook}, J. Ramanujan Math. Soc. 27, No. 4, 509--521 (2012; Zbl 1325.47039)
Dunkl, Charles F.; Gawron, Piotr; Holbrook, John A.; Puchała, Zbigniew; Życzkowski, Karol Numerical shadows: measures and densities on the numerical range. (English) Zbl 1227.15019 Linear Algebra Appl. 434, No. 9, 2042-2080 (2011). Reviewer: Michal Zajac (Bratislava) MSC: 15A60 60B05 81P16 15B57 PDFBibTeX XMLCite \textit{C. F. Dunkl} et al., Linear Algebra Appl. 434, No. 9, 2042--2080 (2011; Zbl 1227.15019) Full Text: DOI arXiv
Holbrook, John; Schoch, Jean-Pierre Theory vs. experiment: multiplicative inequalities for the numerical radius of commuting matrices. (English) Zbl 1192.15010 Ball, Joseph A. (ed.) et al., Topics in operator theory. Volume 1: Operators, matrices and analytic functions. Proceedings of the 19th international workshop on operator theory and applications (IWOTA), College of William and Mary, Williamsburg, VA, USA, July 22–26, 2008. A tribute to Israel Gohberg on the occasion of his 80th birthday. Basel: Birkhäuser (ISBN 978-3-0346-0157-3/hbk; 978-3-0346-0163-4/set; 978-3-0346-0158-0/ebook). Operator Theory: Advances and Applications 202, 273-284 (2010). MSC: 15A60 15A04 47A12 47A30 PDFBibTeX XMLCite \textit{J. Holbrook} and \textit{J.-P. Schoch}, Oper. Theory: Adv. Appl. 202, 273--284 (2010; Zbl 1192.15010)
Hladnik, Milan; Holbrook, John Extreme points and optimal measures. (English) Zbl 1217.15029 Linear Algebra Appl. 430, No. 8-9, 2553-2561 (2009). MSC: 15A60 15B05 15A18 15A45 PDFBibTeX XMLCite \textit{M. Hladnik} and \textit{J. Holbrook}, Linear Algebra Appl. 430, No. 8--9, 2553--2561 (2009; Zbl 1217.15029) Full Text: DOI
Choi, Man-Duen; Giesinger, Michael; Holbrook, John A.; Kribs, David W. Geometry of higher-rank numerical ranges. (English) Zbl 1137.15016 Linear Multilinear Algebra 56, No. 1-2, 53-64 (2008). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A60 PDFBibTeX XMLCite \textit{M.-D. Choi} et al., Linear Multilinear Algebra 56, No. 1--2, 53--64 (2008; Zbl 1137.15016) Full Text: DOI
Choi, Man-Duen; Holbrook, John A.; Kribs, David W.; Życzkowski, Karol Higher-rank numerical ranges of unitary and normal matrices. (English) Zbl 1133.15021 Oper. Matrices 1, No. 3, 409-426 (2007). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A60 47A12 81P68 PDFBibTeX XMLCite \textit{M.-D. Choi} et al., Oper. Matrices 1, No. 3, 409--426 (2007; Zbl 1133.15021) Full Text: DOI arXiv
Hladnik, Milan; Holbrook, John Optimal measures for Toeplitz matrices. (English) Zbl 1076.15023 Linear Algebra Appl. 402, 319-334 (2005). Reviewer: Martín Argerami (Regina) MSC: 15A60 15A45 15A18 47B35 PDFBibTeX XMLCite \textit{M. Hladnik} and \textit{J. Holbrook}, Linear Algebra Appl. 402, 319--334 (2005; Zbl 1076.15023) Full Text: DOI
Hladnik, Milan; Holbrook, John; Serra Capizzano, Stefano Fat diagonals and Fourier analysis. (English) Zbl 1037.15008 SIAM J. Matrix Anal. Appl. 24, No. 4, 1060-1070 (2003). Reviewer: Alexey Alimov (Moskva) MSC: 15A18 15A60 PDFBibTeX XMLCite \textit{M. Hladnik} et al., SIAM J. Matrix Anal. Appl. 24, No. 4, 1060--1070 (2003; Zbl 1037.15008) Full Text: DOI
Holbrook, John; Nordren, Eric; Radjavi, Heydar; Rosenthal, Peter On the operator equation \(AX=XAX\). (English) Zbl 1005.47019 Linear Algebra Appl. 295, No. 1-3, 113-116 (1999). MSC: 47A62 15A24 PDFBibTeX XMLCite \textit{J. Holbrook} et al., Linear Algebra Appl. 295, No. 1--3, 113--116 (1999; Zbl 1005.47019) Full Text: DOI
Holbrook, John; Omladič, Matjaž; Šemrl, Peter Maximal spectral distance. (English) Zbl 0861.15019 Linear Algebra Appl. 249, 197-205 (1996). Reviewer: M.Voicu (Iaşi) MSC: 15A42 15A60 PDFBibTeX XMLCite \textit{J. Holbrook} et al., Linear Algebra Appl. 249, 197--205 (1996; Zbl 0861.15019) Full Text: DOI
Holbrook, John A. Interpenetration of ellipsoids and the polynomial bound of a matrix. (English) Zbl 0835.15017 Linear Algebra Appl. 229, 151-166 (1995). Reviewer: K.Burian (Havířov) MSC: 15A60 15A45 PDFBibTeX XMLCite \textit{J. A. Holbrook}, Linear Algebra Appl. 229, 151--166 (1995; Zbl 0835.15017) Full Text: DOI
Bhatia, Rajendra; Holbrook, John A. R. A softer, stronger Lidskii theorem. (English) Zbl 0675.15001 Proc. Indian Acad. Sci., Math. Sci. 99, No. 1, 75-83 (1989). Reviewer: G.P.Barker MSC: 15A18 15A60 15A42 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{J. A. R. Holbrook}, Proc. Indian Acad. Sci., Math. Sci. 99, No. 1, 75--83 (1989; Zbl 0675.15001) Full Text: DOI
Davidson, Kenneth R.; Holbrook, John A. R. Numerical radii of zero-one matrices. (English) Zbl 0692.47005 Mich. Math. J. 35, No. 2, 261-267 (1988). Reviewer: E.Shiu MSC: 47A12 47A10 47A20 PDFBibTeX XMLCite \textit{K. R. Davidson} and \textit{J. A. R. Holbrook}, Mich. Math. J. 35, No. 2, 261--267 (1988; Zbl 0692.47005) Full Text: DOI
Bhatia, Rajendra; Holbrook, John A. R. Unitary invariance and spectral variation. (English) Zbl 0657.15019 Linear Algebra Appl. 95, 43-68 (1987). Reviewer: Z.Dostal MSC: 15A60 15A09 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{J. A. R. Holbrook}, Linear Algebra Appl. 95, 43--68 (1987; Zbl 0657.15019) Full Text: DOI
Bhatia, Rajendra; Holbrook, John A. R. Short normal paths and spectral variation. (English) Zbl 0568.15012 Proc. Am. Math. Soc. 94, 377-382 (1985). Reviewer: H.-J.Kowalsky MSC: 15A42 15A60 65F35 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{J. A. R. Holbrook}, Proc. Am. Math. Soc. 94, 377--382 (1985; Zbl 0568.15012) Full Text: DOI
Holbrook, John A. The size of an operator. (English) Zbl 0539.47001 Dilation theory, Toeplitz operators, and other topics, 7th int. Conf. Oper. theory, Timişoara & Herculane/Rom. 1982, Oper. Theory, Adv. Appl. 11, 233-241 (1983). Reviewer: Joe Howard (Portales) MSC: 47A05 47A10 47A12 PDFBibTeX XML
Holbrook, John A. R. Polynomials in a matrix and its commutant. (English) Zbl 0505.15008 Linear Algebra Appl. 48, 293-301 (1982). MSC: 15A27 15A60 PDFBibTeX XMLCite \textit{J. A. R. Holbrook}, Linear Algebra Appl. 48, 293--301 (1982; Zbl 0505.15008) Full Text: DOI