9 edition of **The Schur complement and its applications** found in the catalog.

- 363 Want to read
- 21 Currently reading

Published
**2005**
by Springer in New York
.

Written in English

- Schur complement -- Data processing

**Edition Notes**

Includes bibliographical references.

Statement | edited by Fuzhen Zhang. |

Series | Numerical methods and algorithms ;, v. 4 |

Contributions | Zhang, Fuzhen. |

Classifications | |
---|---|

LC Classifications | QA184.2 .S38 2005 |

The Physical Object | |

Pagination | p. cm. |

ID Numbers | |

Open Library | OL3421738M |

ISBN 10 | 0387242716 |

LC Control Number | 2005042750 |

Emilie Virginia Haynsworth (June 1, – May 4, ) was an American mathematician at Auburn University who worked in linear algebra and matrix gave the name to Schur complements and is the namesake of the Haynsworth inertia additivity was known for the "absolute originality" of her mathematical formulations, her "strong and independent mind", her "fine sense of. () Schur complements and its applications to symmetric nonnegative and Z-matrices. Linear Algebra and its Applications , () Some Löwner partial orders of Schur complements and Kronecker products of by:

선형 대수학 및 행렬 이론에서 슈어 보수행렬(슈어補數行列,Schur complement matrix)은 행렬 블럭이 슈어 보완 또는 슈어 보충(즉, 더 큰 행렬 내의 부분 행렬)으로 다음과 같이 정의된다.,,, 가 각각 ×, ×, × 및 × 행렬이고 가 역변환 가능하다고 가정한다. = [] 은 (+) × (+) 행렬이다. Then the Schur complement of the block D of the matrix M is the p×p matrix − −, and the Schur complement of the block A of the matrix M is the q×q matrix − −. I'll dig out Strang's book on Tuesday and see what it says. Michael Hardy , 19 January (UTC).

Preface.- Historical Introduction: Issai Schur and the Early Development of the Schur Complement.- Basic Properties of the Schur Complement.- Eigenvalue and Singular Value Inequalities of Schur Complements.- Block Matrix Techniques.- Closure Properties.- Schur Complements and Matrix Inequalities: Operator-Theoretic Approach The Schur complement and its applications, Numerical Methods and Algorithms 4 Springer () ISBN Zbl How to Cite This Entry: Schur complement.

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The Schur complement plays an important role in matrix analysis, statistics, numerical analysis, and many other areas of mathematics and its applications. This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility.4/5(1).

The Schur complement plays an important role in matrix analysis, statistics, numerical analysis, and many other areas of mathematics and its applications. This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility.

Introduction. The Schur complement plays an important role in matrix analysis, statistics, numerical analysis, and many other areas of mathematics and its applications. This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility.

Find helpful customer reviews and review ratings for The Schur Complement and Its Applications (Numerical Methods and Algorithms (4)) at 4/5.

The Schur complement plays an important role in matrix analysis, statistics, numerical analysis, and many other areas of mathematics and its applications. This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility.5/5(1).

The Schur Complement and Its Applications (Numerical Methods and Algorithms) and a great selection of related books, art and collectibles available now at Schur () has gained lasting acceptance by the mathematical com munity.

The Schur complement plays an important role in matrix analysis, statistics, numerical analysis, and many other areas of mathematics and its applications. Our goal is to expose the Schur complement File Size: 1MB.

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Reading this publication The Schur Complement And Its Applications (Numerical Methods And. Fan / Linear Algebra and its Applications () – see [5,9,10,14,16,18], etc. Another useful but less well-known concept is that of the Perron complement of an irreducible nonnegative matrix.

The concept is derived from Schur complement and was introduced by Meyer [11,12] in his construction of. ☯ Full Synopsis: "The Schur complement plays an important role in matrix analysis, statistics, numerical analysis, and many other areas of mathematics and its applications.

This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility.

This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility. Rating: (not yet rated) 0 with reviews - Be the first.

The Schur complement plays an important role in matrix analysis, statistics, numerical analysis, and many other areas of mathematics and its applications.

This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant results that illustrate its power and : $ In the case that A or D is singular, substituting a generalized inverse for the inverses on M/A and M/D yields the generalized Schur complement.

The Schur complement is named after Issai Schur who used it to prove Schur's lemma, although it had been used previously. Emilie Virginia Haynsworth was the first to call it the Schur complement. The Schur complement is a key tool in the fields of numerical analysis. Linear Algebra and its Applications() Representations of Generalized Inverses and Drazin Inverse of Partitioned Matrix with Banachiewicz-Schur Forms.

Mathematical Problems in EngineeringCited by: Download Citation | The Schur Complement and Its Applications | Historical Introduction: Issai Schur and the Early Development of the Schur Complement.- Basic Properties of the Schur Complement Describes the Schur complement as a tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility.

This book covers themes and variations on the Schur complement. It is useful for graduate and advanced undergraduate courses in mathematics, applied mathematics, and by: Describes the Schur complement as a tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility.

This book covers themes and variations on the Schur complement. It is useful for graduate and advanced undergraduate courses in mathematics, applied mathematics, and statistics. The Schur complement has many applications in linear algebra and in numerical analysis.

Schur complement identities have been used for implementing some scalar and vector extrapolation methods. In this paper we define some matrix sequence transformations and give two new Schur complement identities that will be used to derive algorithms for implementing these transformations.

Fuzhen Zhang: free download. Ebooks library. On-line books store on Z-Library | B–OK. Download books for free. Find books. Describes the Schur complement as a tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility.

This book covers themes and variations on the Schur complement. It is useful for graduate and advanced undergraduate courses in mathematics, applied mathematics, and Cited by:.

This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility. Coverage includes historical development, basic properties, eigenvalue and singular value inequalities, matrix inequalities in both finite and infinite dimensional settings, closure properties, and.Cite this chapter as: Horn R.A., Zhang F.

() Basic Properties of the Schur Complement. In: Zhang F. (eds) The Schur Complement and Its Applications.Basic Properties of the Schur Complement. The Schur Complement and Its Applications, pp Matrix Mathematics quickly became the essential reference book for users of matrices in all.