Linear Algebra I: Basic Concepts: 0 - Brossura

Murota, Kazuo; Sugihara, Masaaki

Brossura

ISBN 10: 9811257973 ISBN 13: 9789811257971

Casa editrice: World Scientific Pub Co Inc, 2022

Riassunto

This Is The First Volume Of The Two-Volume Book On Linear Algebra, In The University Of Tokyo (Utokyo) Engineering Course. The Objective Of This Volume Is To Present, From The Engineering Viewpoint, The Standard Mathematical Results In Linear Algebra Such As Those On Systems Of Equations And Eigenvalue Problems. In Addition To Giving Mathematical Theorems And Formulas, It Explains How The Mathematical Concepts Such As Rank, Eigenvalues, And Singular Values Are Linked To Engineering Applications And Numerical Computations. In Particular, The Following Four Aspects Are Emphasized. How Matrices Arise (Discretization Of Differential Equations, Description Of System Structures, Description Of Transition Probability) What Kinds Of Matrices Arise (Sparse Matrices, Positive Definite Matrices, Diagonally-Dominant Matrices, Nonnegative Matrices, Integer Matrices, Polynomial Matrices) What Characteristics We Are Interested In (Rank, Eigenvalues, Singular Values, Positive Definiteness) How We Can Compute (Expansion Formulas Of Determinants, Elementary Transformation, Estimates Of Eigenvalues)

Dettagli dell'edizione

• Editore: World Scientific Pub Co Inc
• Data di pubblicazione: 2022
• Lingua: Inglese
• ISBN 10: 9811257973
• ISBN 13: 9789811257971
• Rilegatura: Copertina flessibile
• Numero di pagine: 316
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile