Listing 1 - 8 of 8 |
Sort by
|
Choose an application
Choose an application
Symmetric matrices --- Eigenvalues --- Symmetric matrices. --- Eigenvalues.
Choose an application
Eigenvalues --- Symmetric matrices --- Data processing --- Data processing
Choose an application
Symmetric matrices --- Numerical analysis --- Algebras, Linear --- Matrices --- Algèbre linéaire --- Analyse numérique --- Algèbre linéaire --- Analyse numérique.
Choose an application
The arrangement of nonzero entries of a matrix, described by the graph of the matrix, limits the possible geometric multiplicities of the eigenvalues, which are far more limited by this information than algebraic multiplicities or the numerical values of the eigenvalues. This book gives a unified development of how the graph of a symmetric matrix influences the possible multiplicities of its eigenvalues. While the theory is richest in cases where the graph is a tree, work on eigenvalues, multiplicities and graphs has provided the opportunity to identify which ideas have analogs for non-trees, and those for which trees are essential. It gathers and organizes the fundamental ideas to allow students and researchers to easily access and investigate the many interesting questions in the subject.
Eigenvalues. --- Matrices. --- Symmetric matrices. --- Trees (Graph theory) --- Graph theory --- Matrices --- Algebra, Matrix --- Cracovians (Mathematics) --- Matrix algebra --- Matrixes (Algebra) --- Algebra, Abstract --- Algebra, Universal
Choose an application
Symmetric matrices --- Data processing --- #TELE:SISTA --- 519.6 --- 681.3*G13 --- 681.3*G4 --- Computational mathematics. Numerical analysis. Computer programming --- Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- Mathematical software: algorithm analysis; certification and testing; efficiency; portability; reliability and robustness; verification --- Eigenvalues --- -#TELE:SISTA --- Matrices --- Data processing. --- 681.3*G4 Mathematical software: algorithm analysis; certification and testing; efficiency; portability; reliability and robustness; verification --- 681.3*G13 Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Symmetric matrices - Data processing --- -Data processing
Choose an application
Numerical solutions of algebraic equations --- Symmetric matrices --- Eigenvalues --- Valeurs propres --- #TCPW N2.0 --- 512.64 --- 519.6 --- 681.3*G13 --- Linear and multilinear algebra. Matrix theory --- Computational mathematics. Numerical analysis. Computer programming --- Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- 681.3*G13 Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 512.64 Linear and multilinear algebra. Matrix theory --- Matrices --- Normal forms (Mathematics) --- Formes normales (mathématiques) --- Matrices. --- Formes normales (mathématiques) --- Algebre lineaire --- Problemes aux valeurs propres --- Methodes numeriques --- Estimation numerique
Choose an application
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.
Algebras, Linear --- Quaternions --- Algebra, Universal --- Algebraic fields --- Curves --- Surfaces --- Numbers, Complex --- Vector analysis --- Linear algebra --- Generalized spaces --- Mathematical analysis --- Calculus of operations --- Line geometry --- Topology --- Cholesky factorization. --- Hamiltonian matrices. --- Jordan canonical form. --- Jordan form. --- Kronecker canonical form. --- Kronecker form. --- Kronecker forms. --- Schur triangularization theorem. --- Smith form. --- Sylvester equation. --- algebraic Riccati equations. --- antiautomorphisms. --- automorphisms. --- bilateral quadratic equations. --- boundedness. --- canonical forms. --- complex hermitian matrices. --- complex matric pencils. --- complex matrices. --- complex matrix polynomials. --- congruence. --- conjugation. --- conventions. --- determinants. --- diagonal form. --- diagonalizability. --- differential equations. --- dissipative matrices. --- eigenvalues. --- eigenvectors. --- equivalence. --- expansive matrices. --- hermitian inner product. --- hermitian matrices. --- hermitian matrix pencils. --- hermitian pencils. --- indefinite inner products. --- inertia theorems. --- invariant Langragian subspaces. --- invariant Langrangian subspaces. --- invariant neutral subspaces. --- invariant semidefinite subspaces. --- invariant subspaces. --- involutions. --- linear quadratic regulators. --- matrix algebra. --- matrix decompositions. --- matrix equations. --- matrix pencils. --- matrix polynomials. --- maximal invariant semidefinite subspaces. --- metric space. --- mixed matrix pencils. --- mixed pencils. --- mixed quaternion matrix pencils. --- neutral subspaces. --- nondegenerate. --- nonstandard involution. --- nonstandard involutions. --- nonuniqueness. --- notations. --- numerical cones. --- numerical ranges. --- pencils. --- polynomial matrix equations. --- quadratic maps. --- quaternion algebra. --- quaternion coefficients. --- quaternion linear algebra. --- quaternion matrices. --- quaternion matrix pencils. --- quaternion subspaces. --- quaternions. --- real linear transformations. --- real matrices. --- real matrix pencils. --- real matrix polynomials. --- real symmetric matrices. --- root subspaces. --- scalar quaternions. --- semidefinite subspaces. --- skew-Hamiltonian matrices. --- skewhermitian inner product. --- skewhermitian matrices. --- skewhermitian pencils. --- skewsymmetric matrices. --- square-size quaternion matrices. --- standard matrices. --- symmetric matrices. --- symmetries. --- symmetry properties. --- unitary matrices. --- vector spaces.
Listing 1 - 8 of 8 |
Sort by
|