凸优化笔记(4)Semi-Definite Programming简介 - 知乎 - 知乎专栏
控制理论求解的Linear matrix inequality(LMI)就是SDP问题。 用类似的方法可以推出QCQP(Quadratic Constrained Quadratic Programming)与SOCP(Second Order Conic …
Pencils of Semi-Infinite Matrices and Orthogonal Polynomials
Semi-infinite matrices, generalized eigenvalue problems, and orthogonal polynomials are closely related subjects. They connect different domains in mathematics—matrix theory, operator …
Semi-Infinite Programming: Theory, Methods, and Applications
2018年10月11日 · Starting from a number of motivating and abundant applications in §2, including control of robots, eigenvalue computations, mechanical stress of materials, and …
Definite, Semi-Definite and Indefinite Matrices - Mathonline
Definite, Semi-Definite and Indefinite Matrices. We are about to look at an important type of matrix in multivariable calculus known as Hessian Matrices.
A review of infinite matrices and their applications
2009年2月1日 · Infinite matrices, the forerunner and a main constituent of many branches of classical mathematics (infinite quadratic forms, integral equations, differential equations, etc.) …
Semi-Infinite Programming, Semidefinite Programming, and …
2024年3月29日 · As mentioned previously (see ), the linear matrix inequality \\(\\sum _{i=1}^m x_iQ_i\\preceq Q_0\\) can be equivalently written as a linear semi-infinite system below: …
Algorithms for Square Root of Semi-Infinite Quasi-Toeplitz
2024年4月22日 · A quasi-Toeplitz M-matrix A is an infinite M-matrix that can be written as the sum of a semi-infinite Toeplitz matrix and a correction matrix. This paper is concerned with …
Theoretical and computational properties of semi-infinite quasi ...
2022年11月15日 · We have studied properties of semi-infinite M-matrices which belong to the class Q T ∞ of quasi-Toeplitz matrices. We provided sufficient and necessary conditions under …
eigenvalues eigenvectors - Spectrum of semi-infinite Toeplitz …
2020年12月17日 · I am considering a self-adjoint semi-infinite Toeplitz matrix, by which I mean $$M = \left(\begin{array}{ccccc} a_0 & a_1 & a_2 & a_3 & \cdots \\ a_1^*& a_0 & a_1 & a_2 & …
Semi-Infinite Quasi-Toeplitz Matrices with Applications to …
2016年11月19日 · We introduce a finite representation of CQT matrices together with algorithms which implement elementary matrix operations. An application to solving quadratic matrix …