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1. |
Record Nr. |
UNINA9910454726503321 |
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Autore |
Bhatia Rajendra <1952-> |
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Titolo |
Positive definite matrices [[electronic resource] /] / Rajendra Bhatia |
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Pubbl/distr/stampa |
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Princeton, N.J., : Princeton University Press, c2007 |
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ISBN |
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1-282-12974-0 |
9786612129742 |
1-4008-2778-7 |
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Edizione |
[Course Book] |
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Descrizione fisica |
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1 online resource (265 p.) |
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Collana |
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Princeton series in applied mathematics |
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Classificazione |
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Disciplina |
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Soggetti |
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Matrices |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. [237]-245) and index. |
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Nota di contenuto |
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Frontmatter -- Contents -- Preface -- Chapter One. Positive Matrices -- Chapter Two. Positive Linear Maps -- Chapter Three. Completely Positive Maps -- Chapter Four. Matrix Means -- Chapter Five. Positive Definite Functions -- Chapter Six. Geometry of Positive Matrices -- Bibliography -- Index -- Notation |
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Sommario/riassunto |
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This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and computational uses across a broad spectrum of disciplines, including calculus, electrical engineering, statistics, physics, numerical analysis, quantum information theory, and geometry. Through detailed explanations and an authoritative and inspiring writing style, Rajendra Bhatia carefully develops general techniques that have wide applications in the study of such matrices. Bhatia introduces several key topics in functional analysis, operator theory, harmonic analysis, and differential geometry--all built around the central theme of positive definite matrices. He discusses positive and completely positive linear maps, and presents major theorems with simple and direct proofs. He examines matrix means and their applications, and shows how to use positive definite functions to derive operator inequalities that he and |
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others proved in recent years. He guides the reader through the differential geometry of the manifold of positive definite matrices, and explains recent work on the geometric mean of several matrices. Positive Definite Matrices is an informative and useful reference book for mathematicians and other researchers and practitioners. The numerous exercises and notes at the end of each chapter also make it the ideal textbook for graduate-level courses. |
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2. |
Record Nr. |
UNINA9911015967903321 |
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Autore |
Bokoro Pitshou Ntambu |
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Titolo |
Curbing Energy Poverty in Sub-Saharan Africa : A Multi-Objective Optimization Approach for Achieving Universal Access / / by Pitshou Ntambu Bokoro, Gulshan Sharma |
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Pubbl/distr/stampa |
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Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 |
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ISBN |
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Edizione |
[1st ed. 2025.] |
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Descrizione fisica |
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1 online resource (152 pages) |
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Collana |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Energy policy |
Renewable energy sources |
Cooperating objects (Computer systems) |
Electric power production |
Social justice |
Economics |
Energy Policy, Economics and Management |
Renewable Energy |
Cyber-Physical Systems |
Electrical Power Engineering |
Social Justice |
Political Economy and Economic Systems |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Need for Low Carbon Electricity Systems -- Access to Electricity: |
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Fundamental Challenges -- Optimised Electricity Systems -- Policy Analysis -- Economic and Social Benefits. |
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Sommario/riassunto |
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This book emphasizes the critical need for a multi-dimensional approach to tackling energy poverty, advocating for an integrated strategy that addresses three interconnected dimensions: availability, accessibility, and affordability. It introduces a robust Multi-Criteria Decision-Making (MCDM) framework based on a dynamic model that links off-grid energy supply to rural households primarily engaged in crop farming as a key economic activity. The framework leverages the Non-Dominated Sorting Genetic Algorithm II (NDSGA-II), a powerful multi-objective optimization technique, to balance the trade-offs between costs and revenues, ensuring the sustainable delivery of energy services to rural communities. By underscoring the interplay between availability, accessibility, and affordability, the approach reveals that while costs are primarily associated with securing energy availability, revenues are essential for enhancing both accessibility and affordability. This comprehensive and holistic strategy offers an innovative solution to the multifaceted challenges of energy poverty in rural areas, ensuring long-term sustainability and economic viability. |
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