Layton, W. J.
Numerical linear algebra yc William Layton, Mike Myron Sussman. [electronic resource] / - Singapore : World Scientific, 2020. - 1 online resource (x, 263 p.)
Includes bibliographical references and index.
Introduction -- Linear systems and finite precision arithmetic -- Gaussian elimination -- Norms and error analysis -- The MPP and the curse of dimensionality -- Iterative methods -- Solving Ax = b by optimization -- The conjugate gradient method -- Eigenvalue problems.
"Many students come to numerical linear algebra from science and engineering seeking modern tools and an understanding of how the tools work and their limitations. Often their backgrounds and experience are extensive in applications of numerical methods but limited in abstract mathematics and matrix theory. Often enough it is limited to multivariable calculus, basic differential equations and methods of applied mathematics. This book introduces modern tools of numerical linear algebra based on this background, heavy in applied analysis but light in matrix canonical forms and their algebraic properties. Each topic is presented as algorithmic ideas and through a foundation based on mostly applied analysis. By picking a path through the book appropriate for the level, it has been used for both senior level undergraduates and beginning graduate classes with students from diverse fields and backgrounds"--Publisher's website.
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
Translated from French.
9789811223907
Algebras, Linear.
Numerical analysis.
Electronic books.
QA184.2 / .L395 2020
518.43
Numerical linear algebra yc William Layton, Mike Myron Sussman. [electronic resource] / - Singapore : World Scientific, 2020. - 1 online resource (x, 263 p.)
Includes bibliographical references and index.
Introduction -- Linear systems and finite precision arithmetic -- Gaussian elimination -- Norms and error analysis -- The MPP and the curse of dimensionality -- Iterative methods -- Solving Ax = b by optimization -- The conjugate gradient method -- Eigenvalue problems.
"Many students come to numerical linear algebra from science and engineering seeking modern tools and an understanding of how the tools work and their limitations. Often their backgrounds and experience are extensive in applications of numerical methods but limited in abstract mathematics and matrix theory. Often enough it is limited to multivariable calculus, basic differential equations and methods of applied mathematics. This book introduces modern tools of numerical linear algebra based on this background, heavy in applied analysis but light in matrix canonical forms and their algebraic properties. Each topic is presented as algorithmic ideas and through a foundation based on mostly applied analysis. By picking a path through the book appropriate for the level, it has been used for both senior level undergraduates and beginning graduate classes with students from diverse fields and backgrounds"--Publisher's website.
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
Translated from French.
9789811223907
Algebras, Linear.
Numerical analysis.
Electronic books.
QA184.2 / .L395 2020
518.43