Edit Profile (opens in new tab) Styan, George P. H. Compute Distance To: Compute Author ID: styan.george-p-h Published as: Styan, George P. H.; Styan, G. P. H.; Styan, George P. Homepage: http://www.math.mcgill.ca/styan/ External Links: MGP · Wikidata · IdRef Documents Indexed: 91 Publications since 1970, including 4 Books 6 Contributions as Editor Biographic References: 2 Publications Co-Authors: 60 Co-Authors with 90 Joint Publications 1,908 Co-Co-Authors all top 5 Co-Authors 6 single-authored 25 Puntanen, Simo 10 Isotalo, Jarkko 10 Tian, Yongge 8 Baksalary, Jerzy K. 5 Baksalary, Oskar Maria 5 Chu, Ka Lok 5 Werner, Hans-Joachim 3 Anderson, Theodore Wilbur jun. 3 Bérubé, Julie 3 Hartwig, Robert E. 3 Marsaglia, George 3 Pukelsheim, Friedrich 3 Trenkler, Götz 3 Wolkowicz, Henry 2 Alalouf, I. S. 2 Alpargu, Gülhan 2 Das Gupta, Somesh 2 Farebrother, Richard William 2 Giguere, Monique Andree 2 Mäkeläinen, Timo 2 Paige, Christopher C. 2 Šemrl, Peter 1 Ahmed, Syed Ejaz 1 Akdeniz, Fikri 1 Boyer, Christian 1 Dent, Warren T. 1 Drury, Stephen William 1 Fraser, Donald A. S. 1 Golub, Gene Howard 1 Grossman, Stanley I. 1 Gustafson, Karl Edwin 1 Guttman, Irwin 1 Harary, Frank 1 Hunter, Jeffrey J. 1 Jensen, Shane T. 1 Keilson, Julian 1 Lewis, Michael C. 1 Lipstein, Benjamin 1 Liski, Erkki P. 1 Liu, Shuangzhe 1 Lu, Changyu 1 Merikoski, Jorma Kaarlo 1 Mitra, Sujit Kumar 1 Niemelä, Jarmo 1 Nordström, Kenneth 1 Nurhonen, Markku 1 Omladič, Matjaž 1 Pečarić, Josip 1 Pullman, Norman J. 1 Ramsay, James O. 1 Schmidt, Klaus 1 Scott, Alastair John 1 Subak-Sharpe, Gerald E. 1 Takemura, Akimichi 1 ten Berge, Jos M. F. 1 Wachter, Peter G. 1 Wang, Boying 1 Watson, Geoffrey S. 1 Yanai, Haruo 1 Zhang, Fuzhen all top 5 Serials 26 Linear Algebra and its Applications 5 Journal of Statistical Planning and Inference 4 Sankhyā. Series A. Methods and Techniques 3 Communications in Statistics. Theory and Methods 3 Discussiones Mathematicae. Probability and Statistics 2 Linear and Multilinear Algebra 2 The Annals of Statistics 2 Journal of Statistical Computation and Simulation 2 Sankhyā 1 International Journal of Mathematical Education in Science and Technology 1 Journal of Mathematical Analysis and Applications 1 Psychometrika 1 Scandinavian Journal of Statistics 1 Biometrika 1 Canadian Mathematical Bulletin 1 Commentationes Mathematicae Universitatis Carolinae 1 Journal of the American Statistical Association 1 Journal of Computational and Applied Mathematics 1 Journal of Econometrics 1 Mathematische Operationsforschung und Statistik. Series Statistics 1 Operations Research 1 Stochastic Processes and their Applications 1 Bulletin de l’Académie Polonaise des Sciences. Série des Sciences Mathématiques 1 Statistical Papers 1 ELA. The Electronic Journal of Linear Algebra 1 Journal of Inequalities and Applications 1 Journal of Applied Mathematics and Decision Sciences 1 Acta et Commentationes Universitatis Tartuensis de Mathematica 1 Econometric Theory 1 International Journal of Information & Systems Sciences 1 SpringerBriefs in Statistics all top 5 Fields 58 Statistics (62-XX) 53 Linear and multilinear algebra; matrix theory (15-XX) 14 History and biography (01-XX) 11 General and overarching topics; collections (00-XX) 9 Probability theory and stochastic processes (60-XX) 4 Combinatorics (05-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 72 Publications have been cited 1,041 times in 801 Documents Cited by ▼ Year ▼ Equalities and inequalities for ranks of matrices. Zbl 0297.15003Marsaglia, George; Styan, George P. H. 118 1974 Bounds for eigenvalues using traces. Zbl 0435.15015Wolkowicz, Henry; Styan, George P. H. 69 1980 Hadamard products and multivariate statistical analysis. Zbl 0255.15002Styan, George P. H. 65 1973 On some characterizations of the ”star” partial ordering for matrices and rank subtractivity. Zbl 0603.15001Hartwig, Robert E.; Styan, George P. H. 62 1986 Matrix tricks for linear statistical models. Our personal top twenty. Zbl 1291.62014Puntanen, Simo; Styan, George P. H.; Isotalo, Jarkko 53 2011 Rank equalities for idempotent and involutory matrices. Zbl 0988.15002Tian, Yongge; Styan, George P. H. 48 2001 Some properties of matrix partial orderings. Zbl 0681.15005Baksalary, Jerzy K.; Pukelsheim, Friedrich; Styan, George P. H. 44 1989 On the existence and uniqueness of the maximum likelihood estimate of a vector-valued parameter in fixed-size samples. Zbl 0473.62004Maekelaeinen, Timo; Schmidt, Klaus; Styan, George P. H. 41 1981 Characterizations of estimability in the general linear model. Zbl 0398.62053Alalouf, I. S.; Styan, G. P. H. 31 1979 Notes on the distribution of quadratic forms in singular normal variables. Zbl 0264.62006Styan, George P. H. 25 1970 Idempotency of linear combinations of an idempotent matrix and a tripotent matrix. Zbl 1016.15027Baksalary, Jerzy K.; Baksalary, Oskar Maria; Styan, George P. H. 24 2002 Computation of the stationary distribution of a Markov chain. Zbl 0331.60040Paige, C. C.; Styan, George P. H.; Wachter, Peter G. 23 1975 On a matrix decomposition of Hartwig and Spindelböck. Zbl 1180.15004Baksalary, Oskar Maria; Styan, George P. H.; Trenkler, Götz 22 2009 Rank conditions for generalized inverses of partitioned matrices. Zbl 0309.15002Marsaglia, George; Styan, George P. H. 21 1974 When does rank(A+B)=rank(A)+rank(B)? Zbl 0252.15002Marsaglia, G.; Styan, G. P. H. 21 1972 Generalized inverses of partitioned matrices in Banachiewicz-Schur form. Zbl 1022.15006Baksalary, Jerzy K.; Styan, George P. H. 20 2002 A property of the dispersion matrix of the best linear unbiased estimator in the general Gauss-Markov model. Zbl 0727.62072Baksalary, Jerzy K.; Puntanen, Simo; Styan, George P. H. 17 1990 Matrix correlation. Zbl 0581.62048Ramsay, J. O.; ten Berge, Jos M. F.; Styan, G. P. H. 17 1984 Cochran’s theorem, rank additivity and tripotent matrices. Zbl 0505.62030Anderson, T. W.; Styan, George P. H. 17 1982 Some comments on several matrix inequalities with applications to canonical correlations: historical background and recent developments. Zbl 1192.15007Drury, S. W.; Liu, Shuangzhe; Lu, Chang-Yu; Puntanen, Simo; Styan, George P. H. 17 2002 Some comments on six inequalities associated with the inefficiency of ordinary least squares with one regressor. Zbl 0948.62046Watson, Geoffrey S.; Alpargu, Gülhan; Styan, George P. H. 14 1997 Three rank formulas associated with the covariance matrices of the BLUE and the OLSE in the general linear model. Zbl 1072.62049Puntanen, Simo; Styan, George P. H.; Tian, Yongge 14 2005 Two matrix-based proofs that the linear estimator \(G y\) is the best linear unbiased estimator. Zbl 0964.62054Puntanen, Simo; Styan, George P. H.; Werner, Hans Joachim 14 2000 More bounds for eigenvalues using traces. Zbl 0434.15003Wolkowicz, Henry; Styan, George P. H. 13 1980 Some further matrix extensions of the Cauchy-Schwarz and Kantorovich inequalities, with some statistical applications. Zbl 0860.15021Pečarić, Josip E.; Puntanen, Simo; Styan, George P. H. 13 1996 Numerical computations for univariate linear models. Zbl 0283.62062Golub, Gene H.; Styan, George P. H. 11 1973 On decomposing the Watson efficiency of ordinary least squares in a partitioned weakly singular linear model. Zbl 1193.62094Chu, K. L.; Isotalo, J.; Puntanen, S.; Styan, G. P. H. 11 2004 Inequalities and equalities associated with the Campbell-Youla generalized inverse of the indefinite admittance matrix of resistive networks. Zbl 0867.15003Styan, George P. H.; Subak-Sharpe, Gerald E. 10 1997 Markov chains and M-matrices: inequalities and equalities. Zbl 0255.15016Keilson, Julian; Styan, George P. H. 10 1973 Some comments and a bibliography on the Laguerre-Samuelson inequality with extensions and applications in statistics and matrix theory. Zbl 0980.15016Jensen, Shane T.; Styan, George P. H. 10 1999 Rank equalities for idempotent matrices with applications. Zbl 1095.15002Tian, Yongge; Styan, George P. H. 9 2006 Cochran’s statistical theorem revisited. Zbl 1094.15003Tian, Yongge; Styan, George P. H. 8 2006 Convexity and monotonicity properties of dispersion matrices of estimators in linear models. Zbl 0539.62078Pukelsheim, Friedrich; Styan, George P. H. 8 1983 The convergence of Markov chains with nonstationary transition probabilities and constant causative matrix. Zbl 0263.60026Pullman, Norman J.; Styan, George P. H. 7 1973 Löwner-ordering antitonicity of generalized inverses of Hermitian matrices. Zbl 0697.15007Baksalary, Jerzy K.; Nordström, Kenneth; Styan, George P. H. 7 1990 How to establish universal block-matrix factorizations. Zbl 0979.15012Tian, Yongge; Styan, George P. H. 7 2001 A new rank formula for idempotent matrices with applications. Zbl 1090.15001Tian, Yongge; Styan, George P. H. 6 2002 Cochran’s statistical theorem for outer inverses of matrices and matrix quadratic forms. Zbl 1083.15007Tian, Yongge; Styan, George P. H. 6 2005 Canonical correlations, rank additivity and characterizations of multivariate normality. Zbl 0419.62049Seshadri, V.; Styan, G. P. H. 6 1980 A useful matrix decomposition and its statistical applications in linear regression. Zbl 1163.62051Isotalo, Jarkko; Puntanen, Simo; Styan, George P. H. 6 2008 Optimality properties of Theil’s BLUS residuals. Zbl 0265.62020Grossman, Stanley I.; Styan, George P. H. 6 1972 On a separation theorem for generalized eigenvalues and a problem in the analysis of sample surveys. Zbl 0587.62023Scott, Alastair J.; Styan, George P. H. 6 1985 Around a formula for the rank of a matrix product with some statistical applications. Zbl 0850.62628Baksalary, Jerzy K.; Styan, George P. H. 6 1993 On canonical correlations and the degrees of non-orthogonality in the three-way layout. Zbl 0858.62045Bérubé, Julie; Hartwig, Robert E.; Styan, George P. H. 5 1993 The general expressions for the moments of the stochastic shrinkage parameters of the Liu type estimator. Zbl 1084.62046Akdeniz, Fikri; Styan, George P. H.; Werner, Hans Joachim 5 2006 The BLUE’s covariance matrix revisited: A review. Zbl 1141.62325Isotalo, Jarkko; Puntanen, Simo; Styan, George P. H. 4 2008 Some remarks and a bibliography on the Kantorovich inequality. Zbl 0879.60015Alpargu, Gülhan; Styan, George P. H. 4 1996 Serial correlation and distributions on the sphere. Zbl 0341.62023Fraser, D. A. S.; Guttman, Irwin; Styan, George P. H. 4 1976 On some matrix equalities for generalized inverses with applications. Zbl 1165.15006Tian, Yongge; Styan, George P. H. 4 2009 A matrix approach to nonstationary chains. Zbl 0229.60045Harary, Frank; Lipstein, Benjamin; Styan, George P. H. 4 1970 Three useful expressions for expectations involving a Wishart matrix and its inverse. Zbl 0738.62061Styan, George P. H. 4 1989 Hua’s matrix equality and Schur complements. Zbl 1153.15302Paige, Christopher C.; Styan, George P.; Wang, Bo Ying; Zhang, Fuzhen 4 2008 Some further results concerning the decomposition of the Watson efficiency in partitioned linear models. Zbl 1193.62095Chu, K. L.; Isotalo, J.; Puntanen, S.; Styan, G. P. H. 4 2005 A note on rank additivity and range additivity. Zbl 0856.47001Baksalary, Jerzy K.; Šemrl, Peter; Styan, George P. H. 3 1996 On some characterizations of pairwise star orthogonality using rank and dagger additivity and subtractivity. Zbl 0848.15013Hartwig, Robert E.; Omladič, Matjaž; Šemrl, Peter; Styan, George P. H. 3 1996 A bibliography of multivariate statistical analysis. Zbl 0263.62001Anderson, T. W.; Gupta, Somesh Das; Styan, George P. H. 3 1972 Bounds for ratios of eigenvalues using traces. Zbl 0522.15008Merikoski, Jorma Kaarlo; Styan, George P. H.; Wolkowicz, Henry 3 1983 Decomposable three-way layouts. Zbl 0785.62080Bérubé, Julie; Styan, George P. H. 3 1993 The efficiency factorization multiplier for the Watson efficiency in partitioned linear models: Some examples and a literature review. Zbl 1119.62065Chu, Ka Lok; Isotalo, Jarkko; Puntanen, Simo; Styan, George P. H. 2 2007 When does \(\text{rank}(ABC)=\text{rank}(AB)+\text{rank}(BC)-\text{rank}(B)\) hold? Zbl 1015.15001Tian, Yongge; Styan, George P. H. 2 2002 Shorted matrices and their applications in linear statistical models: A review. Zbl 0925.62247Mitra, Sujit Kumar; Puntanen, Simo; Styan, George P. H. 2 1995 Uncorrelated residuals from linear models. Zbl 0377.62081Dent, Warren T.; Styan, George P. H. 2 1978 Nonnegative definiteness of the estimated dispersion matrix in a multivariate linear model. Zbl 0413.62035Pukelsheim, Friedrich; Styan, George P. H. 2 1979 Superstochastic matrices and magic Markov chains. Zbl 1167.15016Gustafson, Karl; Styan, George P. H. 2 2009 On Lavoie’s determinantal inequality. Zbl 0456.15004Styan, George P. H. 2 1981 Formulas useful for linear regression analysis and related matrix theory. It’s only formulas but we like them. Zbl 1276.62048Puntanen, Simo; Styan, George P. H.; Isotalo, Jarkko 1 2013 An illustrated introduction to Caïssan squares: the magic of chess. Zbl 1278.05038Styan, George P. H. 1 2012 Multivariate normal estimation with missing data on several variates. Zbl 0406.62033Giguere, Monique Andree; Styan, George P. H. 1 1978 Estimability and testability in restricted linear models. Zbl 0417.62055Alalouf, I. S.; Styan, G. P. H. 1 1979 When does least squares give the best linear unbiased estimate? Zbl 0264.62028Styan, George P. H. 1 1973 Eight special issue on linear algebra and statistics. Zbl 0972.00016 1 2000 Rank additivity and matrix polynomials. Zbl 0586.15002Styan, George P. H.; Takemura, Akimichi 1 1983 Formulas useful for linear regression analysis and related matrix theory. It’s only formulas but we like them. Zbl 1276.62048Puntanen, Simo; Styan, George P. H.; Isotalo, Jarkko 1 2013 An illustrated introduction to Caïssan squares: the magic of chess. Zbl 1278.05038Styan, George P. H. 1 2012 Matrix tricks for linear statistical models. Our personal top twenty. Zbl 1291.62014Puntanen, Simo; Styan, George P. H.; Isotalo, Jarkko 53 2011 On a matrix decomposition of Hartwig and Spindelböck. Zbl 1180.15004Baksalary, Oskar Maria; Styan, George P. H.; Trenkler, Götz 22 2009 On some matrix equalities for generalized inverses with applications. Zbl 1165.15006Tian, Yongge; Styan, George P. H. 4 2009 Superstochastic matrices and magic Markov chains. Zbl 1167.15016Gustafson, Karl; Styan, George P. H. 2 2009 A useful matrix decomposition and its statistical applications in linear regression. Zbl 1163.62051Isotalo, Jarkko; Puntanen, Simo; Styan, George P. H. 6 2008 The BLUE’s covariance matrix revisited: A review. Zbl 1141.62325Isotalo, Jarkko; Puntanen, Simo; Styan, George P. H. 4 2008 Hua’s matrix equality and Schur complements. Zbl 1153.15302Paige, Christopher C.; Styan, George P.; Wang, Bo Ying; Zhang, Fuzhen 4 2008 The efficiency factorization multiplier for the Watson efficiency in partitioned linear models: Some examples and a literature review. Zbl 1119.62065Chu, Ka Lok; Isotalo, Jarkko; Puntanen, Simo; Styan, George P. H. 2 2007 Rank equalities for idempotent matrices with applications. Zbl 1095.15002Tian, Yongge; Styan, George P. H. 9 2006 Cochran’s statistical theorem revisited. Zbl 1094.15003Tian, Yongge; Styan, George P. H. 8 2006 The general expressions for the moments of the stochastic shrinkage parameters of the Liu type estimator. Zbl 1084.62046Akdeniz, Fikri; Styan, George P. H.; Werner, Hans Joachim 5 2006 Three rank formulas associated with the covariance matrices of the BLUE and the OLSE in the general linear model. Zbl 1072.62049Puntanen, Simo; Styan, George P. H.; Tian, Yongge 14 2005 Cochran’s statistical theorem for outer inverses of matrices and matrix quadratic forms. Zbl 1083.15007Tian, Yongge; Styan, George P. H. 6 2005 Some further results concerning the decomposition of the Watson efficiency in partitioned linear models. Zbl 1193.62095Chu, K. L.; Isotalo, J.; Puntanen, S.; Styan, G. P. H. 4 2005 On decomposing the Watson efficiency of ordinary least squares in a partitioned weakly singular linear model. Zbl 1193.62094Chu, K. L.; Isotalo, J.; Puntanen, S.; Styan, G. P. H. 11 2004 Idempotency of linear combinations of an idempotent matrix and a tripotent matrix. Zbl 1016.15027Baksalary, Jerzy K.; Baksalary, Oskar Maria; Styan, George P. H. 24 2002 Generalized inverses of partitioned matrices in Banachiewicz-Schur form. Zbl 1022.15006Baksalary, Jerzy K.; Styan, George P. H. 20 2002 Some comments on several matrix inequalities with applications to canonical correlations: historical background and recent developments. Zbl 1192.15007Drury, S. W.; Liu, Shuangzhe; Lu, Chang-Yu; Puntanen, Simo; Styan, George P. H. 17 2002 A new rank formula for idempotent matrices with applications. Zbl 1090.15001Tian, Yongge; Styan, George P. H. 6 2002 When does \(\text{rank}(ABC)=\text{rank}(AB)+\text{rank}(BC)-\text{rank}(B)\) hold? Zbl 1015.15001Tian, Yongge; Styan, George P. H. 2 2002 Rank equalities for idempotent and involutory matrices. Zbl 0988.15002Tian, Yongge; Styan, George P. H. 48 2001 How to establish universal block-matrix factorizations. Zbl 0979.15012Tian, Yongge; Styan, George P. H. 7 2001 Two matrix-based proofs that the linear estimator \(G y\) is the best linear unbiased estimator. Zbl 0964.62054Puntanen, Simo; Styan, George P. H.; Werner, Hans Joachim 14 2000 Eight special issue on linear algebra and statistics. Zbl 0972.00016 1 2000 Some comments and a bibliography on the Laguerre-Samuelson inequality with extensions and applications in statistics and matrix theory. Zbl 0980.15016Jensen, Shane T.; Styan, George P. H. 10 1999 Some comments on six inequalities associated with the inefficiency of ordinary least squares with one regressor. Zbl 0948.62046Watson, Geoffrey S.; Alpargu, Gülhan; Styan, George P. H. 14 1997 Inequalities and equalities associated with the Campbell-Youla generalized inverse of the indefinite admittance matrix of resistive networks. Zbl 0867.15003Styan, George P. H.; Subak-Sharpe, Gerald E. 10 1997 Some further matrix extensions of the Cauchy-Schwarz and Kantorovich inequalities, with some statistical applications. Zbl 0860.15021Pečarić, Josip E.; Puntanen, Simo; Styan, George P. H. 13 1996 Some remarks and a bibliography on the Kantorovich inequality. Zbl 0879.60015Alpargu, Gülhan; Styan, George P. H. 4 1996 A note on rank additivity and range additivity. Zbl 0856.47001Baksalary, Jerzy K.; Šemrl, Peter; Styan, George P. H. 3 1996 On some characterizations of pairwise star orthogonality using rank and dagger additivity and subtractivity. Zbl 0848.15013Hartwig, Robert E.; Omladič, Matjaž; Šemrl, Peter; Styan, George P. H. 3 1996 Shorted matrices and their applications in linear statistical models: A review. Zbl 0925.62247Mitra, Sujit Kumar; Puntanen, Simo; Styan, George P. H. 2 1995 Around a formula for the rank of a matrix product with some statistical applications. Zbl 0850.62628Baksalary, Jerzy K.; Styan, George P. H. 6 1993 On canonical correlations and the degrees of non-orthogonality in the three-way layout. Zbl 0858.62045Bérubé, Julie; Hartwig, Robert E.; Styan, George P. H. 5 1993 Decomposable three-way layouts. Zbl 0785.62080Bérubé, Julie; Styan, George P. H. 3 1993 A property of the dispersion matrix of the best linear unbiased estimator in the general Gauss-Markov model. Zbl 0727.62072Baksalary, Jerzy K.; Puntanen, Simo; Styan, George P. H. 17 1990 Löwner-ordering antitonicity of generalized inverses of Hermitian matrices. Zbl 0697.15007Baksalary, Jerzy K.; Nordström, Kenneth; Styan, George P. H. 7 1990 Some properties of matrix partial orderings. Zbl 0681.15005Baksalary, Jerzy K.; Pukelsheim, Friedrich; Styan, George P. H. 44 1989 Three useful expressions for expectations involving a Wishart matrix and its inverse. Zbl 0738.62061Styan, George P. H. 4 1989 On some characterizations of the ”star” partial ordering for matrices and rank subtractivity. Zbl 0603.15001Hartwig, Robert E.; Styan, George P. H. 62 1986 On a separation theorem for generalized eigenvalues and a problem in the analysis of sample surveys. Zbl 0587.62023Scott, Alastair J.; Styan, George P. H. 6 1985 Matrix correlation. Zbl 0581.62048Ramsay, J. O.; ten Berge, Jos M. F.; Styan, G. P. H. 17 1984 Convexity and monotonicity properties of dispersion matrices of estimators in linear models. Zbl 0539.62078Pukelsheim, Friedrich; Styan, George P. H. 8 1983 Bounds for ratios of eigenvalues using traces. Zbl 0522.15008Merikoski, Jorma Kaarlo; Styan, George P. H.; Wolkowicz, Henry 3 1983 Rank additivity and matrix polynomials. Zbl 0586.15002Styan, George P. H.; Takemura, Akimichi 1 1983 Cochran’s theorem, rank additivity and tripotent matrices. Zbl 0505.62030Anderson, T. W.; Styan, George P. H. 17 1982 On the existence and uniqueness of the maximum likelihood estimate of a vector-valued parameter in fixed-size samples. Zbl 0473.62004Maekelaeinen, Timo; Schmidt, Klaus; Styan, George P. H. 41 1981 On Lavoie’s determinantal inequality. Zbl 0456.15004Styan, George P. H. 2 1981 Bounds for eigenvalues using traces. Zbl 0435.15015Wolkowicz, Henry; Styan, George P. H. 69 1980 More bounds for eigenvalues using traces. Zbl 0434.15003Wolkowicz, Henry; Styan, George P. H. 13 1980 Canonical correlations, rank additivity and characterizations of multivariate normality. Zbl 0419.62049Seshadri, V.; Styan, G. P. H. 6 1980 Characterizations of estimability in the general linear model. Zbl 0398.62053Alalouf, I. S.; Styan, G. P. H. 31 1979 Nonnegative definiteness of the estimated dispersion matrix in a multivariate linear model. Zbl 0413.62035Pukelsheim, Friedrich; Styan, George P. H. 2 1979 Estimability and testability in restricted linear models. Zbl 0417.62055Alalouf, I. S.; Styan, G. P. H. 1 1979 Uncorrelated residuals from linear models. Zbl 0377.62081Dent, Warren T.; Styan, George P. H. 2 1978 Multivariate normal estimation with missing data on several variates. Zbl 0406.62033Giguere, Monique Andree; Styan, George P. H. 1 1978 Serial correlation and distributions on the sphere. Zbl 0341.62023Fraser, D. A. S.; Guttman, Irwin; Styan, George P. H. 4 1976 Computation of the stationary distribution of a Markov chain. Zbl 0331.60040Paige, C. C.; Styan, George P. H.; Wachter, Peter G. 23 1975 Equalities and inequalities for ranks of matrices. Zbl 0297.15003Marsaglia, George; Styan, George P. H. 118 1974 Rank conditions for generalized inverses of partitioned matrices. Zbl 0309.15002Marsaglia, George; Styan, George P. H. 21 1974 Hadamard products and multivariate statistical analysis. Zbl 0255.15002Styan, George P. H. 65 1973 Numerical computations for univariate linear models. Zbl 0283.62062Golub, Gene H.; Styan, George P. H. 11 1973 Markov chains and M-matrices: inequalities and equalities. Zbl 0255.15016Keilson, Julian; Styan, George P. H. 10 1973 The convergence of Markov chains with nonstationary transition probabilities and constant causative matrix. Zbl 0263.60026Pullman, Norman J.; Styan, George P. H. 7 1973 When does least squares give the best linear unbiased estimate? Zbl 0264.62028Styan, George P. H. 1 1973 When does rank(A+B)=rank(A)+rank(B)? Zbl 0252.15002Marsaglia, G.; Styan, G. P. H. 21 1972 Optimality properties of Theil’s BLUS residuals. Zbl 0265.62020Grossman, Stanley I.; Styan, George P. H. 6 1972 A bibliography of multivariate statistical analysis. Zbl 0263.62001Anderson, T. W.; Gupta, Somesh Das; Styan, George P. H. 3 1972 Notes on the distribution of quadratic forms in singular normal variables. Zbl 0264.62006Styan, George P. H. 25 1970 A matrix approach to nonstationary chains. Zbl 0229.60045Harary, Frank; Lipstein, Benjamin; Styan, George P. H. 4 1970 all cited Publications top 5 cited Publications all top 5 Cited by 809 Authors 81 Tian, Yongge 30 Puntanen, Simo 29 Baksalary, Jerzy K. 27 Trenkler, Götz 25 Baksalary, Oskar Maria 24 Styan, George P. H. 17 Gross, Jürgen 15 Wang, Qingwen 13 Jiang, Bo 12 Liu, Shuangzhe 12 Liu, Yonghui 12 Thome, Néstor 11 Liu, Xiaoji 11 Markiewicz, Augustyn 11 Takane, Yoshio 10 Hunter, Jeffrey J. 10 Mitra, Sujit Kumar 10 Özdemir, Halim 9 Đorđević, Dragan S. 9 Merikoski, Jorma Kaarlo 9 Wolkowicz, Henry 8 Benítez Lopez, Julio 8 Guterman, Alexander Èmilevich 8 Hauke, Jan 7 Deng, Chunyuan 7 Haslett, Stephen J. 7 He, ZhuoHeng 7 Liski, Erkki P. 7 Mosić, Dijana 7 Rehman, Abdur 6 Cléroux, Robert 6 Cvetković-Ilić, Dragana S. 6 Hartwig, Robert E. 6 Isotalo, Jarkko 6 Pukelsheim, Friedrich 6 Sun, Yuqin 6 Wang, Hongxing 5 Kala, Radosław 5 Neumann, Michael 5 Pordzik, Paweł R. 5 Sharma, Rajesh 5 Yang, Hu 4 Anastasiou, Andreas 4 Efimov, Mikhail A. 4 Gustafson, Karl Edwin 4 Huang, Ting-Zhu 4 Lazraq, Aziz 4 Lu, Changli 4 Malik, Saroj B. 4 Mi, Jie 4 Neudecker, Heinz 4 Ren, Xingwei 4 Rojo, Oscar L. 4 Šemrl, Peter 4 Song, Guangjing 4 Uç, Mahmut 4 Wang, Litong 4 Wang, Songgui 4 Wei, Yimin 4 Xiong, Zhiping 4 Yanai, Haruo 4 Zhang, Fuzhen 3 Ali, Ilyas 3 Beasley, LeRoy B. 3 Burgos, María J. 3 Chebotarev, Pavel Yu. 3 Dent, Warren T. 3 Djikić, Marko S. 3 Drury, Stephen William 3 Fallat, Shaun M. 3 Galántai, Aurél 3 Goldberger, Assaf 3 Güler, Nesrin 3 Guo, Wenbin 3 Johnson, Charles Royal 3 Kişi, Emre 3 Krijnen, Wim P. 3 Kumar, Ravinder 3 Kumar, Ravinder 3 Lepage, Yves 3 Leulmi, Assma 3 Ma, Haifeng 3 Márquez-García, Antonio C. 3 Nordström, Kenneth 3 Paige, Christopher C. 3 Rakočević, Vladimir 3 Rojo, Héctor 3 Sarduvan, Murat 3 Song, Seok-Zun 3 Virtanen, Ari 3 Yan, Zizong 3 Yang, Zhongpeng 3 Young, Dean Max 3 Yu, Shaowen 3 Zhang, Xuan 3 Zhang, Yang 3 Zheng, Bing 2 Ahmed, Syed Ejaz 2 Akdeniz Duran, Esra 2 Akdeniz, Fikri ...and 709 more Authors all top 5 Cited in 189 Serials 199 Linear Algebra and its Applications 50 Linear and Multilinear Algebra 40 Applied Mathematics and Computation 27 Journal of Statistical Planning and Inference 26 Journal of Multivariate Analysis 26 Communications in Statistics. Theory and Methods 21 Statistical Papers 20 Statistics & Probability Letters 15 Computational Statistics and Data Analysis 14 Statistics 10 Psychometrika 10 Journal of Econometrics 9 Journal of Inequalities and Applications 8 Journal of Mathematical Analysis and Applications 8 Metrika 8 Special Matrices 7 Journal of Mathematical Sciences (New York) 7 Journal of Applied Mathematics 7 Journal of Applied Mathematics and Computing 7 Open Mathematics 6 Annals of the Institute of Statistical Mathematics 6 Automatica 6 Journal of Statistical Computation and Simulation 5 Indian Journal of Pure & Applied Mathematics 5 Czechoslovak Mathematical Journal 5 Abstract and Applied Analysis 5 Acta Mathematica Sinica. English Series 4 Computers & Mathematics with Applications 4 Discrete Applied Mathematics 4 Journal of Computational and Applied Mathematics 4 Journal of Optimization Theory and Applications 4 SIAM Journal on Algebraic and Discrete Methods 4 Applied Mathematics Letters 4 Aequationes Mathematicae 4 Mathematical Programming. Series A. Series B 4 Mathematical Problems in Engineering 4 Journal of Statistical Theory and Practice 4 Banach Journal of Mathematical Analysis 3 Journal of the Franklin Institute 3 Proceedings of the American Mathematical Society 3 Quaestiones Mathematicae 3 Acta Mathematicae Applicatae Sinica. English Series 3 Stochastic Processes and their Applications 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Mediterranean Journal of Mathematics 2 The Canadian Journal of Statistics 2 Communications in Algebra 2 International Journal of Control 2 International Journal of Mathematical Education in Science and Technology 2 Mathematical Biosciences 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Rocky Mountain Journal of Mathematics 2 Ukrainian Mathematical Journal 2 Mathematics of Computation 2 The Annals of Statistics 2 Matematički Vesnik 2 Revue de Statistique Appliquée 2 Economics Letters 2 Computational Statistics 2 Communications in Statistics. Simulation and Computation 2 Numerical Linear Algebra with Applications 2 Filomat 2 ELA. The Electronic Journal of Linear Algebra 2 Journal of Applied Statistics 2 Brazilian Journal of Probability and Statistics 2 Central European Journal of Mathematics 2 Statistical Methods and Applications 2 Statistical Methodology 2 Journal of the Korean Statistical Society 2 Operators and Matrices 2 Electronic Journal of Statistics 2 Sankhyā. Series A 2 Numerical Algebra, Control and Optimization 2 Journal of Statistical Distributions and Applications 2 Journal of Siberian Federal University. Mathematics & Physics 2 Advances in Operator Theory 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Computers and Fluids 1 International Journal of Systems Science 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Moscow University Mathematics Bulletin 1 Physica A 1 Physics Letters. B 1 Beiträge zur Algebra und Geometrie 1 BIT 1 Calcolo 1 Canadian Mathematical Bulletin 1 Fuzzy Sets and Systems 1 Information Sciences 1 Journal of Functional Analysis 1 Kybernetika 1 Kyungpook Mathematical Journal 1 Mathematische Nachrichten 1 Mathematics of Operations Research 1 Mathematische Zeitschrift 1 RAIRO. Analyse Numérique 1 Rendiconti del Seminario Matematico della Università di Padova ...and 89 more Serials all top 5 Cited in 44 Fields 463 Linear and multilinear algebra; matrix theory (15-XX) 306 Statistics (62-XX) 64 Operator theory (47-XX) 64 Numerical analysis (65-XX) 61 Probability theory and stochastic processes (60-XX) 34 Operations research, mathematical programming (90-XX) 32 Order, lattices, ordered algebraic structures (06-XX) 22 Functional analysis (46-XX) 20 Associative rings and algebras (16-XX) 19 Combinatorics (05-XX) 14 Real functions (26-XX) 11 Systems theory; control (93-XX) 10 Computer science (68-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Biology and other natural sciences (92-XX) 6 Number theory (11-XX) 5 History and biography (01-XX) 4 Field theory and polynomials (12-XX) 4 Group theory and generalizations (20-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Convex and discrete geometry (52-XX) 4 Information and communication theory, circuits (94-XX) 3 Nonassociative rings and algebras (17-XX) 3 Functions of a complex variable (30-XX) 3 Ordinary differential equations (34-XX) 3 Partial differential equations (35-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.