Topics in Quaternion Linear Algebra /

Topics in Quaternion Linear Algebra / / Leiba Rodman.

Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering. This is the first book to provide a systematic,...

Full description

Saved in:
Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Series in Applied Mathematics eBook-Package
VerfasserIn:
Rodman, Leiba,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2014]
©2014
Year of Publication:2014
Edition:Course Book
Language:English
Series:Princeton Series in Applied Mathematics ; 45
Online Access:
Physical Description:1 online resource (384 p.)
Tags: Add Tag
No Tags, Be the first to tag this record!
LEADER 08507nam a22018855i 4500
001 9781400852741
003 DE-B1597
005 20220131112047.0
006 m|||||o||d||||||||
007 cr || ||||||||
008 220131t20142014nju fo d z eng d
019 |a (OCoLC)979742471 
020 |a 9781400852741 
024 7 |a 10.1515/9781400852741  |2 doi 
035 |a (DE-B1597)447973 
035 |a (OCoLC)881568749 
040 |a DE-B1597  |b eng  |c DE-B1597  |e rda 
041 0 |a eng 
044 |a nju  |c US-NJ 
050 4 |a QA196 
072 7 |a MAT002050  |2 bisacsh 
082 0 4 |a 512.5  |2 23 
100 1 |a Rodman, Leiba,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Topics in Quaternion Linear Algebra /  |c Leiba Rodman. 
250 |a Course Book 
264 1 |a Princeton, NJ :   |b Princeton University Press,   |c [2014] 
264 4 |c ©2014 
300 |a 1 online resource (384 p.) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 0 |a Princeton Series in Applied Mathematics ;  |v 45 
505 0 0 |t Frontmatter --   |t Contents --   |t Preface --   |t Chapter One. Introduction --   |t Chapter Two. The algebra of quaternions --   |t Chapter Three. Vector spaces and matrices: Basic theory --   |t Chapter Four. Symmetric matrices and congruence --   |t Chapter Five. Invariant subspaces and Jordan form --   |t Chapter Six. Invariant neutral and semidefinite subspaces --   |t Chapter Seven. Smith form and Kronecker canonical form --   |t Chapter Eight. Pencils of hermitian matrices --   |t Chapter Nine. Skewhermitian and mixed pencils --   |t Chapter Ten. Indefinite inner products: Conjugation --   |t Chapter Eleven. Matrix pencils with symmetries: Nonstandard involution --   |t Chapter Twelve. Mixed matrix pencils: Nonstandard involutions --   |t Chapter Thirteen. Indefinite inner products: Nonstandard involution --   |t Chapter Fourteen. Matrix equations --   |t Chapter Fifteen. Appendix: Real and complex canonical forms --   |t Bibliography --   |t Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering. This is the first book to provide a systematic, accessible, and self-contained exposition of quaternion linear algebra. It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and instructors. Applications presented in the book include numerical ranges, invariant semidefinite subspaces, differential equations with symmetries, and matrix equations.Designed for researchers and students across a variety of disciplines, the book can be read by anyone with a background in linear algebra, rudimentary complex analysis, and some multivariable calculus. Instructors will find it useful as a complementary text for undergraduate linear algebra courses or as a basis for a graduate course in linear algebra. The open problems can serve as research projects for undergraduates, topics for graduate students, or problems to be tackled by professional research mathematicians. The book is also an invaluable reference tool for researchers in fields where techniques based on quaternion analysis are used. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) 
650 0 |a Algebras, Linear  |x Textbooks. 
650 0 |a Algebras, Linear. 
650 0 |a Quaternions  |x Textbooks. 
650 0 |a Quaternions. 
650 7 |a MATHEMATICS / Algebra / Linear.  |2 bisacsh 
653 |a Cholesky factorization. 
653 |a Hamiltonian matrices. 
653 |a Jordan canonical form. 
653 |a Jordan form. 
653 |a Kronecker canonical form. 
653 |a Kronecker form. 
653 |a Kronecker forms. 
653 |a Schur triangularization theorem. 
653 |a Smith form. 
653 |a Sylvester equation. 
653 |a algebraic Riccati equations. 
653 |a antiautomorphisms. 
653 |a automorphisms. 
653 |a bilateral quadratic equations. 
653 |a boundedness. 
653 |a canonical forms. 
653 |a complex hermitian matrices. 
653 |a complex matric pencils. 
653 |a complex matrices. 
653 |a complex matrix polynomials. 
653 |a congruence. 
653 |a conjugation. 
653 |a conventions. 
653 |a determinants. 
653 |a diagonal form. 
653 |a diagonalizability. 
653 |a differential equations. 
653 |a dissipative matrices. 
653 |a eigenvalues. 
653 |a eigenvectors. 
653 |a equivalence. 
653 |a expansive matrices. 
653 |a hermitian inner product. 
653 |a hermitian matrices. 
653 |a hermitian matrix pencils. 
653 |a hermitian pencils. 
653 |a indefinite inner products. 
653 |a inertia theorems. 
653 |a invariant Langragian subspaces. 
653 |a invariant Langrangian subspaces. 
653 |a invariant neutral subspaces. 
653 |a invariant semidefinite subspaces. 
653 |a invariant subspaces. 
653 |a involutions. 
653 |a linear quadratic regulators. 
653 |a matrix algebra. 
653 |a matrix decompositions. 
653 |a matrix equations. 
653 |a matrix pencils. 
653 |a matrix polynomials. 
653 |a maximal invariant semidefinite subspaces. 
653 |a metric space. 
653 |a mixed matrix pencils. 
653 |a mixed pencils. 
653 |a mixed quaternion matrix pencils. 
653 |a neutral subspaces. 
653 |a nondegenerate. 
653 |a nonstandard involution. 
653 |a nonstandard involutions. 
653 |a nonuniqueness. 
653 |a notations. 
653 |a numerical cones. 
653 |a numerical ranges. 
653 |a pencils. 
653 |a polynomial matrix equations. 
653 |a quadratic maps. 
653 |a quaternion algebra. 
653 |a quaternion coefficients. 
653 |a quaternion linear algebra. 
653 |a quaternion matrices. 
653 |a quaternion matrix pencils. 
653 |a quaternion subspaces. 
653 |a quaternions. 
653 |a real linear transformations. 
653 |a real matrices. 
653 |a real matrix pencils. 
653 |a real matrix polynomials. 
653 |a real symmetric matrices. 
653 |a root subspaces. 
653 |a scalar quaternions. 
653 |a semidefinite subspaces. 
653 |a skew-Hamiltonian matrices. 
653 |a skewhermitian inner product. 
653 |a skewhermitian matrices. 
653 |a skewhermitian pencils. 
653 |a skewsymmetric matrices. 
653 |a square-size quaternion matrices. 
653 |a standard matrices. 
653 |a symmetric matrices. 
653 |a symmetries. 
653 |a symmetry properties. 
653 |a unitary matrices. 
653 |a vector spaces. 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton Series in Applied Mathematics eBook-Package  |z 9783110515831  |o ZDB-23-PAM 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton University Press Complete eBook-Package 2014-2015  |z 9783110665925 
776 0 |c print  |z 9780691161853 
856 4 0 |u https://doi.org/10.1515/9781400852741?locatt=mode:legacy 
856 4 0 |u https://www.degruyter.com/isbn/9781400852741 
856 4 2 |3 Cover  |u https://www.degruyter.com/document/cover/isbn/9781400852741/original 
912 |a 978-3-11-066592-5 Princeton University Press Complete eBook-Package 2014-2015  |c 2014  |d 2015 
912 |a EBA_BACKALL 
912 |a EBA_CL_MTPY 
912 |a EBA_EBACKALL 
912 |a EBA_EBKALL 
912 |a EBA_ECL_MTPY 
912 |a EBA_EEBKALL 
912 |a EBA_ESTMALL 
912 |a EBA_PPALL 
912 |a EBA_STMALL 
912 |a GBV-deGruyter-alles 
912 |a PDA12STME 
912 |a PDA13ENGE 
912 |a PDA18STMEE 
912 |a PDA5EBK 
912 |a ZDB-23-PAM 

Similar Items