Positive Semidefinite Matrices: Characterization via Conical Hulls and Least-Squares Solution of a Matrix Equation
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Publication:3785820
DOI10.1137/0326032zbMath0643.65020OpenAlexW2062261641MaRDI QIDQ3785820
Publication date: 1988
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0326032
Frobenius normpositive semidefinite matricesNumerical resultsleast-squared error solution of matrix equationsoptimization on cones
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical mathematical programming methods (65K05) Positive matrices and their generalizations; cones of matrices (15B48)
Related Items (16)
Parameter-related projection-based iterative algorithm for a kind of generalized positive semidefinite least squares problem ⋮ An iteration method to solve multiple constrained least squares problems ⋮ Unnamed Item ⋮ Positive definite constrained least-squares estimation of matrices ⋮ Unnamed Item ⋮ Least-squares solution of \(F=PG\) over positive semidefinite symmetric \(P\) ⋮ Dykstra's algorithm for constrained least-squares rectangular matrix problems ⋮ A new iteration method for the matrix equation \(AX = B\) ⋮ A semi-analytical approach for the positive semidefinite Procrustes problem ⋮ The \((M, N)\)-symmetric Procrustes problem ⋮ On solutions of the quaternion matrix equation \(AX=B\) and their applications in color image restoration ⋮ The distance to strong stability ⋮ Lyapunov-type least-squares problems over symmetric cones ⋮ Non-overshooting stabilisation via state and output feedback ⋮ Least-squares solutions of inverse problem for Hermitian generalized Hamiltonian matrices. ⋮ Least-squares solution for inverse eigenpair problem of nonnegative definite matrices
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