The chapter provides an overview of the book "Matrix Iterative Analysis" by Richard S. Varga, which is part of the Springer Series in Computational Mathematics. The book, in its second revised and expanded edition, covers various aspects of matrix iterative analysis, including norms, spectral radii, nonnegative matrices, iterative methods, and their applications to differential equations. Key topics include the point Jacobi, Gauss-Seidel, and Successive Overrelaxation (SOR) methods, as well as semi-iterative methods and their relationship to SOR. The author discusses the challenges in updating the book due to the rapid development of numerical analysis, particularly in areas like finite elements, multigrid methods, and Krylov subspace methods. The preface acknowledges the contributions of colleagues and friends, and the content is structured into several chapters, each focusing on specific areas of matrix iterative analysis.The chapter provides an overview of the book "Matrix Iterative Analysis" by Richard S. Varga, which is part of the Springer Series in Computational Mathematics. The book, in its second revised and expanded edition, covers various aspects of matrix iterative analysis, including norms, spectral radii, nonnegative matrices, iterative methods, and their applications to differential equations. Key topics include the point Jacobi, Gauss-Seidel, and Successive Overrelaxation (SOR) methods, as well as semi-iterative methods and their relationship to SOR. The author discusses the challenges in updating the book due to the rapid development of numerical analysis, particularly in areas like finite elements, multigrid methods, and Krylov subspace methods. The preface acknowledges the contributions of colleagues and friends, and the content is structured into several chapters, each focusing on specific areas of matrix iterative analysis.