Results 301 to 310 of about 2,659,919 (342)
Some of the next articles are maybe not open access.
1980
In this chapter direct methods for solving systems of linear equations $$ Ax = b,\quad A = \left[ {\begin{array}{*{20}c} {a_{11} } & \cdots & {a_{1n} } \\ \vdots & {} & \vdots \\ {a_{n1} } & \cdots & {a_{nn} } \\ \end{array} } \right],\quad b = \left[ {\begin{array}{*{20}c} {\begin{array}{*{20}c} {b_1 } \\ \vdots \\ {b_n } \\ \end{array} } \\ \end ...
R. Bulirsch, J. Stoer
openaire +2 more sources
In this chapter direct methods for solving systems of linear equations $$ Ax = b,\quad A = \left[ {\begin{array}{*{20}c} {a_{11} } & \cdots & {a_{1n} } \\ \vdots & {} & \vdots \\ {a_{n1} } & \cdots & {a_{nn} } \\ \end{array} } \right],\quad b = \left[ {\begin{array}{*{20}c} {\begin{array}{*{20}c} {b_1 } \\ \vdots \\ {b_n } \\ \end{array} } \\ \end ...
R. Bulirsch, J. Stoer
openaire +2 more sources
2005
Publisher Summary This chapter gives an overview over different sparse direct methods and the related literature. The chapter discusses state of art numerical methods for the solution of linear systems. These methods fall belong to the traditional two different classes: direct solution methods based on Gaussian elimination techniques and iterative ...
O. Schenk, H.A. van der Vorst
openaire +3 more sources
Publisher Summary This chapter gives an overview over different sparse direct methods and the related literature. The chapter discusses state of art numerical methods for the solution of linear systems. These methods fall belong to the traditional two different classes: direct solution methods based on Gaussian elimination techniques and iterative ...
O. Schenk, H.A. van der Vorst
openaire +3 more sources
Solution of Linear Systems [PDF]
, 1998 One of the most common problems in numerical computing is to solve the linear system $$\displaystyle{Ax = b;}$$ that is, for given A and b, to find x such that the equation holds. The system is said to be consistent if there exists such an x, and in that case a solution x may be written as A−b, where A− is some inverse of A.
openaire +1 more source
1992
Linear dynamical systems (whether they be linear differential equations with constant coefficients or iterative systems) are the only important class of higher dimensional systems that can be solved in terms of elementary functions.
Beverly H. West, John H. Hubbard
openaire +2 more sources
Linear dynamical systems (whether they be linear differential equations with constant coefficients or iterative systems) are the only important class of higher dimensional systems that can be solved in terms of elementary functions.
Beverly H. West, John H. Hubbard
openaire +2 more sources
2014
The concept of a coordinated linear system which contains a coordinator and two or more linear subsystems is defined. Both the case without inputs and the case with inputs are discussed in geometric terms. The class of control laws that conform with the structure of coordinated linear systems is considered: control synthesis then separates into control
André C. M. Ran, Jan H. van Schuppen
openaire +3 more sources
The concept of a coordinated linear system which contains a coordinator and two or more linear subsystems is defined. Both the case without inputs and the case with inputs are discussed in geometric terms. The class of control laws that conform with the structure of coordinated linear systems is considered: control synthesis then separates into control
André C. M. Ran, Jan H. van Schuppen
openaire +3 more sources
Brain and other central nervous system tumor statistics, 2021
Ca-A Cancer Journal for Clinicians, 2021Carol Kruchko +2 more
exaly
Lineare zeitinvariante Systeme
1977Die wichtigste Klasse der in der Nachrichtentechnik vorkommenden Systeme sind lineare und zeitinvariante Systeme. Sie werden mathematisch durch ein System linearer Differentialgleichungen mit konstanten Koeffizienten beschrieben. Bei Systemen oder Netzwerken mit konzentrierten Bauelementen sind es gewohnliche Differentialgleichungen nach der Zeit; bei ...
openaire +2 more sources
1993
The main feature of the discrete systems studied in the preceding chapter is that a finite number of degrees of freedom is sufficient in order to describe their configuration. The differential equations of motion can be easily substituted by a set of linear algebraic equations: The natural mathematical tool for the study of linear discrete systems is ...
openaire +2 more sources
The main feature of the discrete systems studied in the preceding chapter is that a finite number of degrees of freedom is sufficient in order to describe their configuration. The differential equations of motion can be easily substituted by a set of linear algebraic equations: The natural mathematical tool for the study of linear discrete systems is ...
openaire +2 more sources
Radiation therapy‐associated toxicity: Etiology, management, and prevention
Ca-A Cancer Journal for Clinicians, 2021Kyle Wang
exaly