Hwa-Long Gau

605 total citations
55 papers, 373 citations indexed

About

Hwa-Long Gau is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Algebra and Number Theory. According to data from OpenAlex, Hwa-Long Gau has authored 55 papers receiving a total of 373 indexed citations (citations by other indexed papers that have themselves been cited), including 45 papers in Computational Theory and Mathematics, 40 papers in Applied Mathematics and 24 papers in Algebra and Number Theory. Recurrent topics in Hwa-Long Gau's work include Matrix Theory and Algorithms (43 papers), Holomorphic and Operator Theory (28 papers) and Advanced Topics in Algebra (24 papers). Hwa-Long Gau is often cited by papers focused on Matrix Theory and Algorithms (43 papers), Holomorphic and Operator Theory (28 papers) and Advanced Topics in Algebra (24 papers). Hwa-Long Gau collaborates with scholars based in Taiwan, Canada and United States. Hwa-Long Gau's co-authors include Pei Yuan Wu, Chi-Kwong Li, Ming-Cheng Tsai and Ngai‐Ching Wong and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Proceedings of the American Mathematical Society and Linear Algebra and its Applications.

In The Last Decade

Hwa-Long Gau

49 papers receiving 327 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Hwa-Long Gau Taiwan	11	258	255	153	112	81	55	373
Hiroshi Nakazato Japan	11	199 0.8×	340 1.3×	117 0.8×	110 1.0×	87 1.1×	92	425
Mao-Ting Chien Taiwan	12	209 0.8×	335 1.3×	119 0.8×	112 1.0×	59 0.7×	77	408
Takeaki Yamazaki Japan	14	667 2.6×	371 1.5×	93 0.6×	140 1.3×	152 1.9×	57	726
Igor Klep Slovenia	12	98 0.4×	202 0.8×	166 1.1×	103 0.9×	124 1.5×	70	397
Luis Verde‐Star Mexico	12	91 0.4×	143 0.6×	94 0.6×	93 0.8×	23 0.3×	34	289
Maher Mnif Tunisia	10	279 1.1×	189 0.7×	78 0.5×	70 0.6×	178 2.2×	50	348
Lázaro Recht Venezuela	14	391 1.5×	155 0.6×	221 1.4×	111 1.0×	343 4.2×	44	577
Douglas Farenick Canada	13	250 1.0×	132 0.5×	147 1.0×	60 0.5×	192 2.4×	34	411
Masatoshi Fujii Japan	15	711 2.8×	246 1.0×	75 0.5×	230 2.1×	177 2.2×	102	819
Michael J. Schlosser Austria	15	222 0.9×	65 0.3×	345 2.3×	102 0.9×	70 0.9×	58	455

Countries citing papers authored by Hwa-Long Gau

Since Specialization

Citations

This map shows the geographic impact of Hwa-Long Gau's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Hwa-Long Gau with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Hwa-Long Gau more than expected).

Fields of papers citing papers by Hwa-Long Gau

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Hwa-Long Gau. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Hwa-Long Gau. The network helps show where Hwa-Long Gau may publish in the future.

Co-authorship network of co-authors of Hwa-Long Gau

This figure shows the co-authorship network connecting the top 25 collaborators of Hwa-Long Gau. A scholar is included among the top collaborators of Hwa-Long Gau based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Hwa-Long Gau. Hwa-Long Gau is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Gau, Hwa-Long, et al.. (2025). Constants related to powers of ρ-contractions. Journal of Mathematical Analysis and Applications. 547(1). 129345–129345.

Gau, Hwa-Long & Pei Yuan Wu. (2025). ρ-Contraction and its consequences. Linear Algebra and its Applications. 729. 246–255.

Gau, Hwa-Long. (2023). Proof of a conjecture on numerical ranges of weighted cyclic matrices. Linear Algebra and its Applications. 682. 295–308.

Gau, Hwa-Long, et al.. (2019). Equality of numerical ranges of matrix powers. Linear Algebra and its Applications. 578. 95–110. 1 indexed citations

Gau, Hwa-Long, et al.. (2018). Extremality of numerical radii of tensor products of matrices. Linear Algebra and its Applications. 565. 82–98. 1 indexed citations

Gau, Hwa-Long & Pei Yuan Wu. (2018). Equality of three numerical radius inequalities. Linear Algebra and its Applications. 554. 51–67. 3 indexed citations

Gau, Hwa-Long & Pei Yuan Wu. (2016). Extremality of numerical radii of matrix products. Linear Algebra and its Applications. 501. 17–36. 2 indexed citations

Gau, Hwa-Long, et al.. (2016). Numerical ranges of row stochastic matrices. Linear Algebra and its Applications. 506. 478–505. 2 indexed citations

Gau, Hwa-Long & Pei Yuan Wu. (2014). Power partial isometry index and ascent of a finite matrix. Linear Algebra and its Applications. 459. 136–144. 3 indexed citations

10.

Gau, Hwa-Long & Pei Yuan Wu. (2013). Higher-rank numerical ranges and Kippenhahn polynomials. Linear Algebra and its Applications. 438(7). 3054–3061. 11 indexed citations

11.

Gau, Hwa-Long & Pei Yuan Wu. (2013). Structures and numerical ranges of power partial isometries. Linear Algebra and its Applications. 440. 325–341. 3 indexed citations

12.

Gau, Hwa-Long, et al.. (2012). Weighted shift matrices: Unitary equivalence, reducibility and numerical ranges. Linear Algebra and its Applications. 438(1). 498–513. 17 indexed citations

13.

Gau, Hwa-Long & Pei Yuan Wu. (2010). Defect indices of powers of a contraction. Linear Algebra and its Applications. 432(11). 2824–2833. 4 indexed citations

14.

Wu, Pei Yuan, et al.. (2009). Numerical radius inequality for C0 contractions. Linear Algebra and its Applications. 430(5-6). 1509–1516. 4 indexed citations

15.

Gau, Hwa-Long & Pei Yuan Wu. (2008). Numerical ranges of nilpotent operators. Linear Algebra and its Applications. 429(4). 716–726. 6 indexed citations

16.

Gau, Hwa-Long & Chi-Kwong Li. (2007). 𝐶*-isomorphisms, Jordan isomorphisms, and numerical range preserving maps. Proceedings of the American Mathematical Society. 135(9). 2907–2914. 21 indexed citations

17.

Gau, Hwa-Long & Pei Yuan Wu. (2006). Anderson’s theorem for compact operators. Proceedings of the American Mathematical Society. 134(11). 3159–3162. 6 indexed citations

18.

Gau, Hwa-Long & Pei Yuan Wu. (2004). Numerical range of a normal compression II. Linear Algebra and its Applications. 390. 121–136. 4 indexed citations

19.

Gau, Hwa-Long. (2004). Numerical range circumscribed by two polygons*1. Linear Algebra and its Applications. 382. 155–170. 1 indexed citations

20.

Gau, Hwa-Long & Pei Yuan Wu. (2003). Condition for the numerical range to contain an elliptic disc. Linear Algebra and its Applications. 364. 213–222. 28 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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