Found 45 Documents (Results 1–45)
Douglas’ + Sebestyén’s lemmas = a tool for solving an operator equation problem. (English) Zbl 1440.47033
Reviewer: Mohammad Sal Moslehian (Mashhad)
Nonnegative definite and re-nonnegative definite solutions to a system of matrix equations with statistical applications. (English) Zbl 1427.15020
Parseval transforms for finite frames. (English) Zbl 1394.42027
Reviewer: Zhong-Qi Xiang (Shangrao)
Characterizations of noncentral chi-squared-generating covariance structures for a normally distributed random vector. (English) Zbl 1361.15018
Reviewer: Juan Ramon Torregrosa Sanchez (Valencia)
A new expression of the Hermitian solutions to a system of matrix equations with applications. (English) Zbl 1347.15022
Reviewer: Yogesh Sharma (Sardarpura)
The re-nonnegative definite and re-positive definite solutions to the matrix equation \(AXB=D\). (English) Zbl 1338.15038
MSC:
15A24
The general solutions to some systems of matrix equations. (English) Zbl 1334.15040
Reviewer: Rabe von Randow (Bonn)
Least-norm and extremal ranks of the least square solution to the quaternion matrix equation \(AXB=C\) subject to two equations. (English) Zbl 1303.15018
Reviewer: Jorma K. Merikoski (Tampere)
Common nonnegative definite solutions of some classical matrix equations. (English) Zbl 1391.15060
Reviewer: Süleyman Güler (Aydin)
Ranks of submatrices in (skew-)Hermitian solutions to a quaternion matrix equation. (English) Zbl 1298.15021
Reviewer: John D. Dixon (Ottawa)
Hermitian-type generalized singular value decomposition with applications. (English) Zbl 1289.65108
Reviewer: Iveta Hnetynkova (Praha)
A system of matrix equations and its applications. (English) Zbl 1291.15043
Reviewer: Mihail Voicu (Iaşi)
The common positive solution to adjointable operator equations with an application. (English) Zbl 1264.47021
Reviewer: Mohammad Sal Moslehian (Mashhad)
On additive decomposition of the Hermitian solution of the matrix equation \(AXA^* = B\). (English) Zbl 1241.15012
Reviewer: Grozio Stanilov (Sofia)
A simultaneous decomposition of a matrix triplet with applications. (English) Zbl 1249.15020
Reviewer: Iveta Hnětýnková (Praha)
Common Hermitian least squares solutions of matrix equations \(A_1XA^*_1=B_1\) and \(A_2XA^*_2=B_2\) subject to inequality restrictions. (English) Zbl 1231.15002
The \((P,Q)\)-(skew)symmetric extremal rank solutions to a system of quaternion matrix equations. (English) Zbl 1222.15022
Reviewer: Juan Ramon Torregrosa Sanchez (Valencia)
Maximization and minimization of the rank and inertia of the Hermitian matrix expression \(A-BX-(BX)^{*}\) with applications. (English) Zbl 1211.15022
Reviewer: A. Arvanitoyeorgos (Patras)
Positive solutions to a system of adjointable operator equations over Hilbert \(C^*\)-modules. (English) Zbl 1214.47015
Reviewer: Edward L. Pekarev (Odessa)
The nearness problems for symmetric centrosymmetric with a special submatrix constraint. (English) Zbl 1202.65056
Reviewer: Constantin Popa (Constanţa)
Equalities and inequalities for inertias of Hermitian matrices with applications. (English) Zbl 1205.15033
Reviewer: Edgar Pereira (Covilha)
Extremal ranks of submatrices in an Hermitian solution to the matrix equation \(AXA^{*}=B\) with applications. (English) Zbl 1194.15014
Reviewer: Sheng Chen (Harbin)
Ranks of Hermitian and skew-Hermitian solutions to the matrix equation \(AXA^*=B\). (English) Zbl 1180.15018
Reviewer: Václav Burjan (Praha)
An optimal approximation problem for a matrix equation. (English) Zbl 1167.65020
Reviewer: Vasilis Dimitriou (Chania)
Re-nnd solutions of the matrix equation \(AXB= C\). (English) Zbl 1157.15012
Reviewer: Vladimir P. Kostov (Nice)
Least-squares solution with the minimum-norm for the matrix equation \(A^T XB + B^T X^T A = D\) and its applications. (English) Zbl 1177.15018
Positive and real-positive solutions to the equation \(axa^*=c\) in \(C^*\)-algebras. (English) Zbl 1180.47014
Reviewer: Yiu Tung Poon (Ames)
On rank-constrained Hermitian nonnegative-definite least squares solutions to the matrix equation \(AXA^{H} = B\). (English) Zbl 1129.15012
Reviewer: Valeriu Prepeliţă (Bucureşti)
The expansion problem of anti-symmetric matrix under a linear constraint and the optimal approximation. (English) Zbl 1103.15008
Reviewer: Vladimir P. Kostov (Nice)
Estimation-equivalent covariance structures for the least squares and MINQUE estimators of the linear model variance. (English) Zbl 1123.62039
The general common Hermitian nonnegative-definite solution to the matrix equations \(AXA=BB\) and \(CXC=DD\) with applications in statistics. (English) Zbl 1071.15014
Reviewer: Vladimir P. Kostov (Nice)
The general common nonnegative-definite and positive-definite solutions to the matrix equations \(AXA^ *=BB^ *\) and \(CXC^ *=DD^ *\). (English) Zbl 1062.15009
Reviewer: Vladimir P. Kostov (Nice)
MSC:
15A24
The general common Hermitian nonnegative-definite solution to the matrix equations \(AXA^*=B\) and \(CXC^*=D\). (English) Zbl 1054.15016
Reviewer: Vladimir P. Kostov (Nice)
The general Hermitian nonnegative-definite and positive-definite solutions to the matrix equation \(GXG^{\ast} + HY H^{\ast}=C\). (English) Zbl 1042.15010
Reviewer: Vladimir P. Kostov (Nice)
The rank-constrained Hermitian nonnegative-definite and positive-definite solutions to the matrix equation \(AXA^{\ast}=B\). (English) Zbl 1026.15011
Reviewer: Vladimir P.Kostov (Nice)
MSC:
15A24
Nonnegative-definite and positive-definite solutions to the matrix equation \(\mathbb{A}\times\mathbb{A}^*=\mathbb{B}\) – revisited. (English) Zbl 0984.15011
Reviewer: T.Nono (Hiroshima)
On pre-test estimation of parametric functions in the general Gauss-Markov model with quadratic risk. (English) Zbl 0938.62072
Independence distribution preserving covariance structures for the multivariate linear model. (English) Zbl 0927.62057
A note on equality of MINQUE and simple estimator in the general Gauss-Markov model. (English) Zbl 0888.62057
MSC:
62H12
A characterization of nonnegative-definite independence distribution-preserving covariance structures for the maximum squared-radii statistic. (English) Zbl 0893.62043
MSC:
62H05
Independence-distribution-preserving dependency structures for the modified likelihood ratio test for detecting unequal covariance matrices. (English) Zbl 0805.62061
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