The expansion problem of anti-symmetric matrix under a linear constraint and the optimal approximation

On best approximate solutions of linear matrix equations

Roger Penrose · Mathematical Proceedings of the Cambridge Philosophical Society · 1956 · 783 citations

Natural Sciences, Mathematics, Algorithms +12

Computing a nearest symmetric positive semidefinite matrix

Nicholas J. Higham · Linear Algebra and its Applications · 1988 · 703 citations

Computing, Computer Science, Algorithms +10

Towards a Generalized Singular Value Decomposition

Christopher C. Paige, Michael A. Saunders · SIAM Journal on Numerical Analysis · 1981 · 555 citations

Computing, Computer Science, Algorithms +11

Linear matrix equations from an inverse problem of vibration theory

Hua Dai, Peter Lancaster · Linear Algebra and its Applications · 1996 · 105 citations

Engineering, Mathematics, Physics +16

Nonnegative definite and positive definite solutions to the matrix equation<b>AXA</b>^*=<b>B</b>

Jerzy K. Baksalary · Linear and Multilinear Algebra · 1984 · 89 citations

Natural Sciences, Mathematics, Differential Equations +2